1998 Fiscal Year Annual Research Report

代数的符号理論とそれに関連した代数的・幾何学的および解析的研究

Research Project

Project/Area Number	09440003
Research Institution	Yamagata University
Principal Investigator	小関道夫山形大学, 理学部, 教授 (90087073)
Co-Investigator(Kenkyū-buntansha)	上野慶介山形大学, 理学部, 助手 (10250911) 原田昌晃山形大学, 理学部, 助手 (90292408) 渡辺伸一山形大学, 理学部, 講師 (40007175) 内田吉昭山形大学, 理学部, 助教授 (80280890) 平吹慎吉山形大学, 理学部, 助教授 (70007136) 佐野隆志山形大学, 理学部, 助教授 (20250912) 村林直樹山形大学, 理学部, 助教授 (80261676) 澤田秀樹山形大学, 理学部, 助教授 (30095856) 井伊清隆山形大学, 理学部, 助教授 (10007180) 鹿野健山形大学, 教育学部, 教授 (90020669) 平松豊一法政大学, 工学部, 教授 (40029674) 尾方隆司山形大学, 理学部, 教授 (10042425) 大池宏清山形大学, 理学部, 教授 (20007165) 内田伏一山形大学, 理学部, 教授 (90028126)
Keywords	2元符号 / 3元符号 / 被覆半径
Research Abstract	Springer(1998)233-245に発表した。分担者村林直樹は"A remark on the modularity of abelian vari-eties of GL2-type over Q"を投稿中。分担者内田吉昭は論文"Delta-unknotting number for knots"をJour.of Knot Theory and its Ramifications.Vol.7,No.5 1998 639-650に発表した。分担者上野慶介は論文"Initial-final value problems for ordinary differential equations and applications to equivariant harmonic maps."をJ.Math.Soc.Japan,50,No.3,(1998),545-555に発表した。分担者原田は"Ex-tremal double circulant Type II codes over Z4 and construction of 5-(24,10,36)designs,Discrete Math.194(1999)pp.129-137"他4編を今年度外国学術誌に発表した。

Research Products

(6 results)

All Other

All Publications (6 results)

[Publications] M.Ozeki: "Determination of covering radias and coset weight distributions of doubly even extremal binary self-dual codes of length 40" Theoretical Computer Science. in press.
[Publications] M.Ozeki and others: "On the ring of simultaneous invariants for the Gleason-Mac Williams Groop" European J.Combinatorics. to appear.
[Publications] Y.Uchida and others: "Delta-unknotting number for knots" Jour.of knot Theory and its Ramifications. 7・5. 639-650 (1998)
[Publications] K.Ueno and other: "Initial-final value problems for ordinary differential equations and applications to equivariant harmonic maps." J.Math.Soc.Japan. 50・3. 545-555 (1998)
[Publications] M.Harada and other: "Extremal double circulant Type II codes over 24 and construction of 5-(24,10,36)designs" Discrete Math.194. 129-137 (1999)
[Publications] M.Harada: "New 5-designs constructed from the litted Golay codes over 24" J.Combin.Designs. 6. 225-229 (1998)

1998 Fiscal Year Annual Research Report

代数的符号理論とそれに関連した代数的・幾何学的および解析的研究

Principal Investigator

小関 道夫 山形大学, 理学部, 教授 (90087073)

Research Products

[Publications] M.Ozeki: "Determination of covering radias and coset weight distributions of doubly even extremal binary self-dual codes of length 40" Theoretical Computer Science. in press.

[Publications] M.Ozeki and others: "On the ring of simultaneous invariants for the Gleason-Mac Williams Groop" European J.Combinatorics. to appear.

[Publications] Y.Uchida and others: "Delta-unknotting number for knots" Jour.of knot Theory and its Ramifications. 7・5. 639-650 (1998)

[Publications] K.Ueno and other: "Initial-final value problems for ordinary differential equations and applications to equivariant harmonic maps." J.Math.Soc.Japan. 50・3. 545-555 (1998)

[Publications] M.Harada and other: "Extremal double circulant Type II codes over 24 and construction of 5-(24,10,36)designs" Discrete Math.194. 129-137 (1999)

[Publications] M.Harada: "New 5-designs constructed from the litted Golay codes over 24" J.Combin.Designs. 6. 225-229 (1998)

小関道夫山形大学, 理学部, 教授 (90087073)