2006 IEEE Information Theory Workshop - ITW '06â€¦

2006

In the talk we describe known methods for investigation binary self-dual codes using automorphisms. Some new theoretical results concerning a decomposition of a binary self-dual code having anâ€¦ (More)

In this paper, we construct new binary singly even self-dual codes with larger minimum weights than the previously known singly even self-dual codes for several lengths. Several known constructionâ€¦ (More)

In this correspondence, we present some results concerning a decomposition of binary self-dual codes possessing an automorphism of certain type. Two applications are given. The first one is theâ€¦ (More)

2006 IEEE International Symposium on Informationâ€¦

2006

In this note a construction of an extremal binary self-dual code of length 92, possessing an automorphism of order 15, is presented. Thirteen new codes are found. All of them have weight enumeratorsâ€¦ (More)

In this note 35 new extremal binary self-dual doubly-even codes of length 88 are presented. Their inequivalence is established by invariants. Moreover, a construction of a binary self-dual [88; 44;â€¦ (More)

The existence of an extremal binary self-dual doubly-even code of length 112 is an open problem. In this work we study the automorphism group Aut(C) of such a putative code. The types of all theâ€¦ (More)