Constructing error-correcting binary codes using transitive permutation groups

نویسندگان

  • Antti Laaksonen
  • Patric R. J. Östergård
چکیده

Let A2(n, d) be the maximum size of a binary code of length n and minimum distance d. In this paper we present the following new lower bounds: A2(18, 4) ≥ 5632, A2(21, 4) ≥ 40960, A2(22, 4) ≥ 81920, A2(23, 4) ≥ 163840, A2(24, 4) ≥ 327680, A2(24, 10) ≥ 136, and A2(25, 6) ≥ 17920. The new lower bounds are a result of a systematic computer search over transitive permutation groups.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 233  شماره 

صفحات  -

تاریخ انتشار 2017