Extremal doubly-even codes of length 64 derived from symmetric designs

✍ Scribed by S.N. Kapralov; V.D. Tonchev

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 331 KB
• Volume: 83
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(90)90012-7

✦ Synopsis

Any symmetric 2-(31, 10,3) design gives rise to a binary self-dual doubly-even code of length 64, and the code is extremal if and only if the design does not possess any ovals [15]. Codes derived from the known symmetric 2-(31,10,3) designs without ovals and their automorphism groups are investigated. It is shown that the 6 known such designs lead to 4 inequivalent extremal codes, one code having full automorphism group of order 2.