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On the Constructions of Optical Orthogonal Codes from Combinatorial Design Theory

Research Project

Project/Area Number 14540100
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of Tsukuba

Principal Investigator

MIAO Ying  University of Tsukuba, Graduate School of Systems and Information Engineering, Assistant Professor, 大学院・システム情報工学研究科, 講師 (10302382)

Co-Investigator(Kenkyū-buntansha) FUJI-HARA Ryoh  University of Tsukuba, Graduate School of Systems and Information Engineering, Full Professor, 大学院・システム情報工学研究科, 教授 (30165443)
MISHIMA Miwako  Gifu University, Information and Multimedia Center, Associate Professor, 総合情報メディアセンター, 助教授 (00283284)
SHINOHARA Satoshi  Meisei University, Faculty of Informatics, Assistant Professor, 情報学部経営情報学科, 講師 (70439694)
Project Period (FY) 2002 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2002: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsCombinatorial Design / Optical Orthogonal Code / Construction / Difference Packing / Finite Geometry / Frequency Hopping Sequence / Information Communication / Information Security / 認証符号 / 閾値秘密分散法 / 電子署名 / 代理暗号系 / 組合せ的デザイン理論 / Incomplete Difference Matrix / 再帰的構成法 / Skew Starter / 有限射影幾何 / Combinatorial design / Optical orthogonal code / code division multiple access / difference packilig / threshold scheme / Projective geometry / difference family / balanced array
Research Abstract

Optical orthogonal codes are used in optical code-division multi-access communications so that multiple users can efficiently transmit and receive information in one single optic channel. It is known that an optimal optical orthogonal code is equivalent to a combinatorial structure called maximal cyclic t-difference packing. The main purpose of this research project is to construct optimal optical orthogonal codes from a combinatorial approach, that is, instead of constructing optimal optical orthogonal codes directly, we construct their corresponding maximal cyclic t-difference packings.
Fuji-Hara, Miao and Mishima introduced a new concept of incomplete cyclic difference matrices, and used them to construct many cyclic t-difference packings with maximal number of blocks. Together with a computer search, many infinite families of optimal optical orthogonal codes were constructed. The existence of optimal optical orthogonal codes with weight 4, correlation constraint 1, and code length v … More with v=0 mod 24 was completely settled.
Shinohara used special arcs and conies in finite geometries to construct optical orthogonal codes and obtained infinite families of asymptotic optimal optical orthogonal codes.
Frequency hopping sequences are used in multi-access spread-spectrum communications which are closely related to optical orthogonal codes. Fuji-Hara, Miao and Mishima found an equivalence relationship between frequency hopping sequences and partition-type difference packings. By using this equivalence, Fuji-Hara, Miao and Mishima constructed many infinite families of optimal frequency hopping sequences.
Miao also considered the security of multi-access communication systems. Topics covered include authentication codes, secret sharing schemes, ID-based signature schemes, and proxy cryptosystems.
Fuji-Hara, Miao, Mishima and Shinohara also carried out theoretical research on several topics in combinatorial design theory which are related to optical orthogonal codes and frequency hopping sequences. Less

Report

(4 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (85 results)

All 2005 2004 2003 2002 Other

All Journal Article (63 results) Publications (22 results)

  • [Journal Article] ID-based series-parallel multisignature schemes for multi-messages from bilinear maps2005

    • Author(s)
      L.Wang, E.Okamoto, Y.Miao, T.Okamoto, H.Doi
    • Journal Title

      Proceedings of the International Workshop on Coding and Cryptography -- WCC 2005

      Pages: 265-274

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] ID-based series-parallel multisignature schemes for multi-messages from bilinear maps.2005

    • Author(s)
      L.Wang, E.Okamoto, Y.Miao, T.Okamoto, H.Doi
    • Journal Title

      Proceedings of the International Workshop on Coding and Cryptography--WCC 2005

      Pages: 265-274

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial constructions for optimal splitting authentication codes2005

    • Author(s)
      G.Ge, Y.Miao, L.Wang
    • Journal Title

      SIAM Journal on Discrete Mathematics (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] On algorithms for searching a consistent set of shares in a threshold scheme and the related covering problem2005

    • Author(s)
      R.Tso, Y.Miao, E.Okamoto
    • Journal Title

      The Journal of Combinatorial Mathematics and Combinatorial Computing (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] ID-based series-parallel multisignature schemes for multi-messages from bilinear maps2005

    • Author(s)
      L.Wang, E.Okamoto, Y.Miao, T.Okamoto, H.Doi
    • Journal Title

      Proceedings of the International Workshop on Coding and Cryptography -- WCC 2005 (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Optimum multilevel orthogonal arrays for correlated errors2005

    • Author(s)
      M.Mishima, M.Jimbo
    • Journal Title

      AKCE International Journal of Graphs and Combinatorics (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Optimal frequency hopping sequences : a combinatorial approach2004

    • Author(s)
      R.Fuji-Hara, Y.Miao, M.Mishima
    • Journal Title

      IEEE Transactions on Information Theory 50

      Pages: 2408-2420

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Optical orthogonal codes obtained from conics on finite projective planes2004

    • Author(s)
      N.Miyamoto, H.Mizuno, S.Shinohara
    • Journal Title

      Finite Fields and Their Applications 10

      Pages: 405-411

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A new algorithm for searching a consistent set of shares in a threshold scheme with cheaters2004

    • Author(s)
      R.Tso, Y.Miao, E.Okamoto
    • Journal Title

      Lecture Notes in Computer Science 2971

      Pages: 377-385

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Transformation-free proxy cryptosystems and their applications to electronic commerce2004

    • Author(s)
      L.Wang, Z.Cao, E.Okamoto, Y.Miao, T.Okamoto
    • Journal Title

      Proceedings of the Third International Conference on Information Security -- Infosecu'04

      Pages: 92-98

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] 射影平面上の(q+2)-arcとそれらの交点数について2004

    • Author(s)
      宮本暢子, 篠原聡
    • Journal Title

      明星大学研究紀要(情報学部) 12

      Pages: 145-153

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optimal frequency hopping sequences : a combinatorial approach.2004

    • Author(s)
      R.Fuji-Hara, Y.Miao, M.Mishima
    • Journal Title

      IEEE Transactions on Information Theory Vol.50

      Pages: 2408-2420

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optical orthogonal codes obtained from conies on finite projective planes.2004

    • Author(s)
      N.Miyamoto, H.Mizuno, S.Shinohara
    • Journal Title

      Finite Fields and Their Applications Vol.10

      Pages: 405-411

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A new algorithm for searching a consistent set of shares in a threshold scheme with cheaters.2004

    • Author(s)
      R.Tso, Y.Miao, E.Okamoto
    • Journal Title

      Lecture Notes in Computer Science Vol.2971

      Pages: 377-385

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Transformation-free proxy cryptosystems and their applications to electronic commerce.2004

    • Author(s)
      L.Wang, Z.Cao, E.Okamoto, Y.Miao, T.Okamoto
    • Journal Title

      Proceedings of the Third International Conference on Information Security--Infosecu'04

      Pages: 92-98

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On the number of intersection points between two (q+2)-arcs in protective planes of even order q.2004

    • Author(s)
      N.Miyamoto, S.Shimohara
    • Journal Title

      Bulletin of Faculty of Informatics, Meisei University Vol.12

      Pages: 145-153

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optical orthogonal codes obtained from conics on finite projective planes2004

    • Author(s)
      N.Miyamoto, H.Mizuno, S.Shinohara
    • Journal Title

      Finite Fields and their Applications 10

      Pages: 405-411

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 射影平面上の(q+2)-arcとそれらの交点数について2004

    • Author(s)
      宮本 暢子, 篠原 聡
    • Journal Title

      明星大学研究紀要(情報学部) 12

      Pages: 145-153

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Constructions for optimal optical orthogonal codes2003

    • Author(s)
      Y.Chang, Y.Miao
    • Journal Title

      Discrete Mathematics 261

      Pages: 127-139

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A combinatorial characterization of regular anonymous perfect threshold schemes2003

    • Author(s)
      Y.Miao
    • Journal Title

      Information Processing Letters 85

      Pages: 131-135

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial constructions of optimal optical orthogonal codes with weight 42003

    • Author(s)
      Y.Chang, R.Fuji-Hara, Y.Miao
    • Journal Title

      IEEE Transactions on Information Theory 45

      Pages: 1283-1292

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mutually M-intersecting k-arcsと光直交符号2003

    • Author(s)
      篠原聡, 宮本暢子
    • Journal Title

      明星大学研究紀要(情報学部) 11

      Pages: 119-126

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on the exposure property of SBIBD2003

    • Author(s)
      Y.Wang, J.Seberry, R.Safavi-Naini, R.Fuji-Hara
    • Journal Title

      Electronic Notes in Discrete Mathematics 15

      Pages: 227-229

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Resolvable even-cycle systems with a 1-rotational automorphism2003

    • Author(s)
      M.Mishima, F.-L.Fu
    • Journal Title

      Journal of Combinatorial Designs 11

      Pages: 394-407

    • NAID

      120006339711

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Constructions for optimal optical orthogonal codes.2003

    • Author(s)
      Y.Chang, Y.Miao
    • Journal Title

      Discrete Mathematics Vol.261

      Pages: 127-139

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A combinatorial characterization of regular anonymous perfect threshold schemes.2003

    • Author(s)
      Y.Miao
    • Journal Title

      Information Processing Letters Vol.85

      Pages: 131-135

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial constructions of optimal optical orthogonal codes with weight 4.2003

    • Author(s)
      Y.Chang, R.Fuji-Hara, Y.Miao
    • Journal Title

      IEEE Transactions on Information Theory Vol.45

      Pages: 1283-1292

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mutually M-intersecting k-arcs and optical orthogonal codes.2003

    • Author(s)
      S.Shinohara, N.Miyamoto
    • Journal Title

      Bulletin of Faculty of Informatics, Meisei University Vol.11

      Pages: 119-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on the exposure property of SBIBD.2003

    • Author(s)
      Y.Wang, J.Seberry, R.Safavi-Naini, R.Fuji-Hara
    • Journal Title

      Electronic Notes in Discrete Mathematics Vol.15

      Pages: 227-229

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Resolvable even-cycle systems with a 1-rotational automorphism.2003

    • Author(s)
      M.Mishima, F.-L.Fu
    • Journal Title

      Journal of Combinatorial Designs Vol.11

      Pages: 394-407

    • NAID

      120006339711

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] General constructions for double group divisible designs and double frames2002

    • Author(s)
      Y.Chang, Y.Miao
    • Journal Title

      Designs, Codes and Cryptography 26

      Pages: 155-168

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on geometrical structures of linear ordered orthogonal arrays and (t,m,s)-nets of low strength2002

    • Author(s)
      R.Fuji-Hara, Y.Miao
    • Journal Title

      Designs, Codes and Cryptography 26

      Pages: 257-263

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Balanced nested designs and balanced n-ary designs2002

    • Author(s)
      R.Fuji-Hara, S.Kuriki, Y.Miao, S.Shinohara
    • Journal Title

      Journal of Statistical Planning and Inference 106

      Pages: 57-67

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Complete sets of disjoint difference families and their applications2002

    • Author(s)
      R.Fuji-Hara, Y.Miao, S.Shinohara
    • Journal Title

      Journal of Statistical Planning and Inference 106

      Pages: 87-103

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Frames with block size four and index three2002

    • Author(s)
      S.Furino, S.Kageyama, A.C.H.Ling, Y.Miao, J.Yin
    • Journal Title

      Journal of Statistical Planning and Inference 106

      Pages: 117-124

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Balanced nested designs and balanced arrays2002

    • Author(s)
      R.Fuji-Hara, S.Kageyama, S.Kuriki, Y.Miao, S.Shinoihara
    • Journal Title

      Discrete Mathematics 259

      Pages: 91-119

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 1-Rotational resolvable 4-cycle systems of 2K_v2002

    • Author(s)
      H.-L.Fu, M.Nishima
    • Journal Title

      Journal of Combinatorial Designs 10

      Pages: 116-125

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Cyclic Mendelsohn triple systems with a cyclic resolution or a cyclic almost resolution2002

    • Author(s)
      M.Mishima
    • Journal Title

      Journal of Statistical Planning and Inference 106

      Pages: 105-115

    • NAID

      120006339716

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 有限射影平面上のconicを用いる光直交符号の構成2002

    • Author(s)
      宮本暢子, 水野弘文, 篠原聡
    • Journal Title

      明星大学研究紀要(情報学部) 10

      Pages: 127-134

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] General constructions for double group divisible designs and double frames.2002

    • Author(s)
      Y.Chang, Y.Miao
    • Journal Title

      Designs, Codes and Cryptography Vol.26

      Pages: 155-168

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on geometrical structures of linear ordered orthogonal arrays and (t,m,s)-nets of low strength.2002

    • Author(s)
      R.Fuji-Hara, Y.Miao
    • Journal Title

      Designs, Codes and Cryptography Vol.26

      Pages: 257-263

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Balanced nested designs and balanced n-ary designs.2002

    • Author(s)
      R.Fuji-Hara, S.Kuriki, Y.Miao, S.Shinohara
    • Journal Title

      Journal of Statistical Planning and Inference Vol.106

      Pages: 57-67

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Complete sets of disjoint difference families and their applications.2002

    • Author(s)
      R.Fuji-Hara, Y.Miao, S.Shinohara
    • Journal Title

      Journal of Statistical Planning and Inference Vol.106

      Pages: 87-103

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Frames with block size four and index three.2002

    • Author(s)
      S.Furino, S.Kageyama, A.C.H.Ling, Y.Miao, J.Yin
    • Journal Title

      Journal of Statistical Planning and Inference Vol.106

      Pages: 117-124

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Balanced nested designs and balanced arrays.2002

    • Author(s)
      R.Fuji-Hara, S.Kageyama, S.Kuriki, Y.Miao, S.Shinoihara
    • Journal Title

      Discrete Mathematics Vol.259

      Pages: 91-119

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] 1-Rotational resolvable 4-cycle systems of 2K_V2002

    • Author(s)
      H.-L.Fu, M.Nishima
    • Journal Title

      Journal of Combinatorial Designs Vol.10

      Pages: 116-125

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Cyclic Mendelsohn triple systems with a cyclic resolution or a cyclic almost resolution.2002

    • Author(s)
      M.Nishima
    • Journal Title

      Journal of Statistical Planning and Inference Vol.106

      Pages: 105-115

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Constructions of optical orthogonal codes from conies on finite protective planes.2002

    • Author(s)
      N.Miyamoto, H.Mizuno, S.Shinohara
    • Journal Title

      Bulletin of Faculty of Informatics, Meisei University Vol.10

      Pages: 127-134

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optimum multilevel orthogonal arrays for correlated errors

    • Author(s)
      M.Mishima, M.Jimbo
    • Journal Title

      AKCE International Journal of Graphs and Combinatorics (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mutually M-intersecting (k,d)-arcs and its application to optical orthogonal codes

    • Author(s)
      N.Miyamoto, S.Shinohara
    • Journal Title

      Congressus Numeratium (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial constructions for optimal splitting authentication codes

    • Author(s)
      G.Ge, Y.Miao, L.Wang
    • Journal Title

      SIAM Journal on Discrete Mathematics (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On algorithms for searching a consistent set of shares in a threshold scheme and the related covering problem

    • Author(s)
      R.Tso, Y.Miao, E.Okamoto
    • Journal Title

      The Journal of Combinatorial Mathematics and Combinatorial Computing (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Further constructions for BIB designs with nested rows and columns

    • Author(s)
      T.Hishida, M.Jimbo, M.Mishima, Y.Mutoh, K.Ozawa
    • Journal Title

      Ars Combinatoria (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Constructions for rectangular designs

    • Author(s)
      K.Ozawa, M.Mishima, S.Kuriki, M.Jimbo
    • Journal Title

      Utilitas Mathematica (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optimum multilevel orthogonal arrays for correlated errors.

    • Author(s)
      M.Mishima, M.Jimbo
    • Journal Title

      AKCE International Journal of Graphs and Combinatorics (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mutually M-intersecting (k,d)-arcs and its application to optical orthogonal codes.

    • Author(s)
      N.Miyamoto, S.Shinohara
    • Journal Title

      Congressus Numeratium (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Combinatorial constructions for optimal splitting authentication codes.

    • Author(s)
      G.Ge, Y.Miao, L.Wang
    • Journal Title

      SIAM Journal on Discrete Mathematics (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On algorithms for searching a consistent set of shares in a threshold scheme and the related covering problem.

    • Author(s)
      R.Tso, Y.Miao, E.Okamoto
    • Journal Title

      The Journal of Combinatorial Mathematics and Combinatorial Computing (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Further constructions for BIB designs with nested rows and columns.

    • Author(s)
      T.Hishida, M.Jimbo, M.Mishima, Y.Mutoh, K.Ozawa
    • Journal Title

      Ars Combinatoria (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Constructions for rectangular designs.

    • Author(s)
      K.Ozawa, M.Mishima, S.Kuriki, M.Jimbo
    • Journal Title

      Utilitas Mathematica (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Further constructions for BIB designs with nested rows and columns

    • Author(s)
      T.Hishida, M.Jimbo, M.Mishima, Y.Mutoh, K.Ozawa
    • Journal Title

      Ars Combonatoria. (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Constructions for Rectangular Designs

    • Author(s)
      K.Ozawa, M.Mishima, S.Kuriki, M.Jimbo
    • Journal Title

      Utilitas Mathematica (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Mutually M-intersecting (k,d)-arcs and its application to optical orthogonal codes

    • Author(s)
      N.Miyamoto, S.Shinohara
    • Journal Title

      Congressus Numerantium (掲載予定)

    • Related Report
      2004 Annual Research Report
  • [Publications] Y.Chang, Y.Miao: "Constructions for optimal optical orthogonal codes"Discrete Mathematics. 261. 127-139 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Chang, R.Fuji-Hara, Y.Miao: "Combinatorial constructions of optimal optical orthogonal codes with weight 4"IEEE Transactions on Information Theory. 45. 1283-1292 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Miyamoto, H.Mizuno, S.Shinohara: "Optical orthogonal codes obtained from conics on finite projective planes"Finite Fields and Their Applications. (掲載予定). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 宮本 暢子, 篠原 聡: "Mutually M-intersecting k-arcsと光直交符号"明星大学研究紀要(情報学部). 11. 119-126 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] R.Fuji-Hara, Y.Miao, M.Mishima: "Optimal frequency hopping sequences : a combinatorial approach"IEEE Transactions on Information Theory. (掲載予定).

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Miao: "A combinatorial characterization of regular anonymous perfect threshold schemes"Information Processing Letters. 85. 131-135 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] R.Tso, Y.Miao, E.Okamoto: "A new algorithm for searching a consistent set of shares in a threshold scheme with cheaters"Lecture Notes in Computer Science. (掲載予定). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Wang, J.Seberry, R.Safavi-Naini, R.Fuji-Hara: "A note on the exposure property of SBIBD"Electronic Notes in Discrete Mathematics. 15. 227-229 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Mishima, H.-L.Fu: "Resolvable even-cycle systems with a 1-rotational automorphism"Journal of Combinatorial Designs. 11. 394-407 (2003)

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      2003 Annual Research Report
  • [Publications] Y.Chang, Y.Miao: "General constructions for double group divisible designs and double frames"Designs, Codes and Cryptography. 26. 155-168 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Fuji-Hara, Y.Miao: "A note on geometrical structures of linear ordered orthogonal arrays and (t, m, s)-nets of low strength"Designs, Codes and Cryptography. 26. 257-263 (2002)

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      2002 Annual Research Report
  • [Publications] R.Fuji-Hara, S.Kuriki, Y.Miao, S.Shinohara: "Balanced nested designs and balanced n-ary designs"Journal of Statistical Planning and Inference. 106. 57-67 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] R.Fuji-Hara, Y.Miao, S.Shinohara: "Complete sets of disjoint difference families and their applications"Journal of Statistical Planning and Influence. 106. 87-103 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Furino, S.Kageyama, A.C.H.Ling, Y.Miao, J.Yin: "Frames with block size four and index three"Journal of Statistical Planning and Inference. 106. 117-124 (2002)

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      2002 Annual Research Report
  • [Publications] R.Fuji-Hara, S.Kageyama, S.Kuriki, Y.Miao, S.Shinohara: "Balanced nested designs and balanced arrays"Discrete Mathematics. 259. 91-119 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] H.-L.Fu, M.Mishima: "1-Rotationally resolvable 4-cycle systems of 2K_v"Journal of Combinatorial Designs. 10. 116-125 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Mishima: "Cyclic Mendelsohn triple systems with a cyclic resolution or a cyclic almost resolution"Journal of Statistical Planning and Inference. 106. 105-115 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Chang, Y.Miao: "Constructions for optimal optical orthogonal codes"Discrete Mathematics. 261. 127-139 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Miao: "A combinatorial characterization of regular anonymous perfect threshold schemes"Information Processing Letters. 85. 131-135 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Chang, R.Fuji-Hara, Y.Miao: "Combinatorial constructions of optimal optical orthogonal codes with weight 4"IEEE Transactions on Information Theory. (掲載予定). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 宮本暢子, 水野弘文, 篠原聡: "有限射影平面上のconicを用いる光直交符号の構成"明星大学研究紀要(情報学部). 10. 127-134 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 篠原聡, 宮本暢子: "Mutually M-intersecting k-arcsと光直交符号"明星大学研究紀要(情報学部). (掲載予定).

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2018-02-02  

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