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Classification of Extremal and s-Extremal Binary Self-Dual Codes of Length 38

Authors
  • Aguilar Melchor, Carlos
  • Gaborit, Philippe
  • Kim, Jon-Lark
  • Sok, Lin
  • Solé, Patrick
Publication Date
Jan 01, 2012
Source
HAL-UPMC
Keywords
Language
English
License
Unknown
External links

Abstract

In this paper we classify all extremal and s-extremal binary self-dual codes of length 38. There are exactly 2744 ex- tremal [38, 19, 8] self-dual codes, two s-extremal [38, 19, 6] codes, and 1730 s-extremal [38, 19, 8] codes. We obtain our results from the use of a recursive algorithm used in the recent classification of all extremal self-dual codes of length 36, and from a generalization of this recursive algorithm for the shadow. The classification of s-extremal [38, 19, 6] codes permits to achieve the classification of all s-extremal codes with d = 6.

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