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On a test for codes.

Falucskai, J. (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

On codes with finite interpreting delay: a defect theorem

Yannick Guesnet (2010)

RAIRO - Theoretical Informatics and Applications

We introduce two new classes of codes, namely adjacent codes and codes with finite interpreting delay. For each class, we establish an extension of the defect theorem.

On extremal additive 𝔽 4 codes of length 10 to 18

Christine Bachoc, Philippe Gaborit (2000)

Journal de théorie des nombres de Bordeaux

In this paper we consider the extremal even self-dual 𝔽 4 -additive codes. We give a complete classification for length 10 . Under the hypothesis that at least two minimal words have the same support, we classify the codes of length 14 and we show that in length 18 such a code is equivalent to the unique 𝔽 4 -hermitian code with parameters [18,9,8]. We construct with the help of them some extremal 3 -modular lattices.

On Extremal Binary Doubly-Even Self-Dual Codes of Length 88*

Yorgova, Radinka, At, Nuray (2009)

Serdica Journal of Computing

In this paper we present 35 new extremal binary self-dual doubly-even codes of length 88. Their inequivalence is established by invariants. Moreover, a construction of a binary self-dual [88, 44, 16] code, having an automorphism of order 21, is given.*This work was partly supported by the Norwegian Government Scholarship.

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