Cyclic self-dual codes

نویسندگان

  • N. J. A. Sloane
  • John G. Thompson
چکیده

Ahstruct-It is shown that if the automorphism group of a binary self-dual code satisfies a certain condition then the code contains words of weight congruent to 2 modulo 4. In particular, no cyclic binary self-dual code can have all its weights divisible by four. The number of cyclic binary self-dual codes of length n is determined, and the shortest nontrivial code in this class is shown to have length 14.

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عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 29  شماره 

صفحات  -

تاریخ انتشار 1983