A note on formally self-dual even codes of length divisible by 8

نویسندگان

  • Jon-Lark Kim
  • Vera Pless
چکیده

A binary code with the same weight distribution as its dual code is called formally self-dual (f.s.d.). We only consider f.s.d. even codes (codes with only even weight codewords). We show that any formally self-dual even binary code C of length n not divisible by 8 is balanced. We show that the weight distribution of a balanced near-extremal f.s.d. even code of length a multiple of 8 is unique. We also determine the possible weight enumerators of a nearextremal f.s.d. even [n, n/2, 2bn/8c] code with 8 | n as well as the dimension of its radical.

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عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2007