Type II codes over IF2r

Koichi Betsumiya; Masaaki Harada; Akihiro Munemasa

Type II codes over IF_2r

Koichi Betsumiya, Masaaki Harada, Akihiro Munemasa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Motivated by the work of Pasquier and Wolfmann in 1980’s, we define Type II codes over IF2r as self-dual codes with the property that their binary images with respect to a trace-orthogonal basis are doubly-even. We give a classification of Type II codes of length 8 over IF₈, IF₁₆ and IF₃₂. We also characterize all Type II codes whose binary images are the extended Golay [24, 12, 8] code.

Original language	English
Title of host publication	Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings
Editors	Serdar Boztas, Igor E. Shparlinski
Publisher	Springer-Verlag
Pages	102-111
Number of pages	10
ISBN (Print)	9783540456247
Publication status	Published - 2001 Jan 1
Externally published	Yes
Event	14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 2001 - Melbourne, Australia Duration: 2001 Nov 26 → 2001 Nov 30

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2227
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 2001
Country	Australia
City	Melbourne
Period	01/11/26 → 01/11/30

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

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Cite this

Betsumiya, K., Harada, M., & Munemasa, A. (2001). Type II codes over IF_2r. In S. Boztas, & I. E. Shparlinski (Eds.), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings (pp. 102-111). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2227). Springer-Verlag.

Type II codes over IF_2r. / Betsumiya, Koichi; Harada, Masaaki ; Munemasa, Akihiro.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings. ed. / Serdar Boztas; Igor E. Shparlinski. Springer-Verlag, 2001. p. 102-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2227).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Betsumiya, K, Harada, M & Munemasa, A 2001, Type II codes over IF_2r. in S Boztas & IE Shparlinski (eds), Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2227, Springer-Verlag, pp. 102-111, 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 2001, Melbourne, Australia, 01/11/26.

Betsumiya K, Harada M , Munemasa A. Type II codes over IF_2r. In Boztas S, Shparlinski IE, editors, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings. Springer-Verlag. 2001. p. 102-111. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

Betsumiya, Koichi ; Harada, Masaaki ; Munemasa, Akihiro. / Type II codes over IF_2r. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 14th International Symposium, AAECC-14, Proceedings. editor / Serdar Boztas ; Igor E. Shparlinski. Springer-Verlag, 2001. pp. 102-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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