研究課題
挑戦的萌芽研究
楕円曲線上の離散対数問題 (ECDLP)は利用する楕円曲線E/F(p)により安全性が異なるため，安全性を何らかの手法で評価できることが望ましい．E/F(p)上のECDLPはE/F(p)から有限体F(p)の拡大体上のF(p＾k)上への写像により，有限体上の離散対数問題(DLP)へ帰着する．この結果E/F(p)上のECDLPが拡大体F(p＾k) 上のDLPと等価の安全性となる．本研究では，超楕円曲線上のHittによるアプローチを楕円曲線上に応用し，楕円曲線の元の個数に新たなパラメータr, L を導入し，このパラメータで楕円曲線E/F(p)のトレースと元の個数，拡大次数を記述することに成功した．
すべて 2015 2014 2013 2012 2011 その他
すべて 雑誌論文 (41件) (うち査読あり 38件、 オープンアクセス 15件) 学会発表 (37件) (うち招待講演 7件) 図書 (1件)
コンピュータソフトウェア
巻: Vol. 32, No.1 ページ: 213-219
40020582107
Concurrency and Computation: Practice and Experience
巻: - 号: 10 ページ: 2547-2568
10.1002/cpe.3434
120005624453
The 20th Australasian Conference on Information Security and Privacy (ACISP 2015), Lecture Notes in Computer Science, (2015), Springer-Verlag
巻: -
120005767114
The 22nd International Workshop on Fast Software Encryption (FSE 2015), Lecture Notes in Computer Science, Springer-Verlag
The 29th IEEE International Conference on Advanced Information Networking and Applications (AINA 2015), IEEE
巻: - ページ: 564-570
The 17th International Conference on Information and Security Cryptology, ICISC 2014, Lecture Notes in Computer Science, 8949(2015), Springer-Verlag
巻: 8949 ページ: 271-285
120005723611
International Conference on Computational Intelligence in Data Mining (ICCIDM 2014), Lecture Notes in Computer Science, Volume 33(2015), Springer-Verlag
巻: Volume 33 ページ: 519-528
120005678257
The 15th International Workshop on Information Security Applications (WISA 2014), Lecture Notes in Computer Science, Volume 8909(2015), Springer-Verlag
巻: 8909 ページ: 137-149
120005691304
「電気評論」
巻: 夏季増刊号特集 ページ: 12-15
Journal of Mathematical Cryptology
巻: - 号: 2 ページ: 63-74
10.1515/jmc-2014-0010
Wiley Security and Communication Networks
巻: - 号: 8 ページ: 1547-1560
10.1002/sec.1103
2014 Ninth Asia Joint Conference on Information Security (ASIA JCIS), IEEE
巻: - ページ: 56-63
120006675662
The 8th International Conference on Provable Security (Provsec 2014), Lecture Notes in Computer Science, Volume 8782(2014), Springer-Verlag
巻: 8782 ページ: 103-116
120005657979
The 8th International Conference on Network and System Security (NSS 2014), Lecture Notes in Computer Science, 8792(2014), Springer-Verlag
巻: 8792 ページ: 184-197
120005661888
2014 Twelfth Annual International Conference on Privacy, Security and Trust (PST)
巻: - ページ: 199-206
120006675652
2014 17th International Conference on Network-Based Information Systems (NBiS)
巻: - ページ: 511-516
120006675661
2014 IEEE International Conference on Computer and Information Technology (CIT)
巻: - ページ: 373-387
120006675656
The 10th Information Security Practice and Experience Conference(ISPEC 2014), Lecture Notes in Com- puter Science, 8434(2014), Springer-Verlag
巻: 8434 ページ: 373-387
120005602733
The 28th IEEE International Conference on Advanced Information Networking and Applications (AINA 2014), IEEE
巻: - ページ: 343-350
120007005446
巻: - ページ: 245-252
120007005447
Journal of Applied Mathematics
巻: 2014
120005624449
Intl. J. of Security and Communication Networks SCN
巻: Online 号: 2 ページ: 298-310
10.1002/sec.980
International Journal of Computational Science and Engineering (IJCSE), Special Issue on Converged Networks, Technologies and Applications
120005661887
Computers & Mathematics with Applications
巻: 66 ページ: 1-10
120005298575
Security Engineering and Intelligence Informatics, CD-ARES 2013 Workshops, Lecture Notes in Computer Science, 8128(2013), Springer-Verlag
巻: 8128 ページ: 1-15
120005367951
The 12th IEEE International Conference on Trust, Security and Privacy in Computing and Communications (IEEE TrustCom'13)
巻: CD-ROM ページ: 431-438
10.1109/trustcom.2013.54
120006675373
巻: CD-ROM ページ: 102-109
10.1109/trustcom.2013.17
120006675368
The 6th International Conference on Internet and Dsitributed Computing Systems (IDCS 2013), Lecture Notes in Computer Science, Springer-Verlag
巻: 8223 ページ: 92-105
International Journal of Applied Cryptography (IJACT)
巻: 2(3) ページ: 199-211
120004664487
IEICE Trans., Fundamentals
巻: E95-A(12) ページ: 2148-2159
10031161346
The 5th International Conference on Internet and Dsitributed Computing Systems, IDCS 2012,Lecture Notes in Computer Science, Springer-Verlag
巻: 7646 ページ: 71-84
120005147911
The 4th International Symposium on Cyberspace Safety and Security , CANS 2012, Springer-Verlag
巻: 7712 ページ: 263-279
120005147913
The 11th International Conference on Cryptology and Network Security, CSS 2012, Springer-Verlag
巻: 7672 ページ: 400-413
120005147912
The 8th International Conference on Wireless Communications, Networking and Mobile Computing, WiCOM2012, IEEE
巻: - ページ: 1-8
120006675329
The 6th International Conference on Network and System Security , NSS 2012, Springer-Verlag
巻: 7645 ページ: 476-489
120005147914
The 8th International Conference on Information Security Practice and Experience, ISPEC 2012, Lecture Notes in Computer Science
巻: 7232 ページ: 245-258
120004247387
The 2012 Symposium on Cryptography and Information Security
巻: SCIS2012- 1B2-2E
IEICE Japan Tech. Rep.
巻: ISEC2012 (2012-3) ページ: 141-148
110009545770
Journal of Cryptographic Engineering (2011),Springer-Verlag
巻: Vol.1 ページ: 161-176
IEICE Trans., Fundamentals.
巻: E94-A ページ: 1368-1374
10029802473
巻: ISEC2011 (2011-11) ページ: 109-114
