Mass formula for even codes over ℤ8

Koichi Betsumiya; Rowena Alma L. Betty; Akihiro Munemasa

doi:10.1007/978-3-642-10868-6_5

Mass formula for even codes over ℤ₈

Koichi Betsumiya, Rowena Alma L. Betty, Akihiro Munemasa

INF - Computer and Mathematical Sciences

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

3 Citations (Scopus)

Abstract

In this paper, we establish a mass formula for even codes over ℤ₈. In particular, a formula giving the total number of distinct Type II self-dual codes over ℤ₈ of length n is established for each positive integer n divisible by 8.

Original language	English
Title of host publication	Cryptography and Coding - 12th IMA International Conference, Cryptography and Coding 2009, Proceedings
Pages	65-77
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-642-10868-6_5
Publication status	Published - 2009 Dec 28
Event	12th IMA International Conference on Cryptography and Coding - Cirencester, United Kingdom Duration: 2009 Dec 15 → 2009 Dec 17

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	5921 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	12th IMA International Conference on Cryptography and Coding
Country/Territory	United Kingdom
City	Cirencester
Period	09/12/15 → 09/12/17

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-642-10868-6_5

Cite this

Betsumiya, K., Betty, R. A. L., & Munemasa, A. (2009). Mass formula for even codes over ℤ₈. In Cryptography and Coding - 12th IMA International Conference, Cryptography and Coding 2009, Proceedings (pp. 65-77). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5921 LNCS). https://doi.org/10.1007/978-3-642-10868-6_5

Mass formula for even codes over ℤ₈. / Betsumiya, Koichi; Betty, Rowena Alma L.; Munemasa, Akihiro.

Cryptography and Coding - 12th IMA International Conference, Cryptography and Coding 2009, Proceedings. 2009. p. 65-77 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5921 LNCS).

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

Betsumiya, K, Betty, RAL & Munemasa, A 2009, Mass formula for even codes over ℤ₈. in Cryptography and Coding - 12th IMA International Conference, Cryptography and Coding 2009, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5921 LNCS, pp. 65-77, 12th IMA International Conference on Cryptography and Coding, Cirencester, United Kingdom, 09/12/15. https://doi.org/10.1007/978-3-642-10868-6_5

Betsumiya K, Betty RAL, Munemasa A. Mass formula for even codes over ℤ₈. In Cryptography and Coding - 12th IMA International Conference, Cryptography and Coding 2009, Proceedings. 2009. p. 65-77. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-642-10868-6_5

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