منابع مشابه
Six New Constant Weight Binary Codes
We give six improved bounds on A(n, d, w), the maximum cardinality of a binary code of length n with minimum distance d and constant weight w.
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Constant weight binary codes are used in a number of applications. The most fully developed treatment of these codes in the literature is restricted to codes of length at most 28. Only recently have comprehensive results been presented for longer codes. Constructions based on mathematical structure are known for many of the shorter codes. However, such constructions are rarer for lengths greate...
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Binary constant weight codes have important applications and have been studied for many years. Optimal or near-optimal binary constant weight codes of small lengths have been determined. In this paper we propose a new construction of explicit binary constant weight codes from q-ary ReedSolomon codes. Some of our binary constant weight codes are optimal or new. In particular new binary constant ...
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A new class of binary constant weight codes is presented. We establish new lower bound and exact values on A(n, 2k, k + 1), in particular, A(30, 12, 7) = 9, A(48, 16, 9) = 11, A(51,16, 9) = 12, A(58, 18, 10) = 12. An ( ) w d n , , constant weight binary code is a code of length n , code distance d in which all code words have the same number of “ones” . The number of “ones” is w . We will denot...
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ژورنال
عنوان ژورنال: SN Computer Science
سال: 2021
ISSN: 2662-995X,2661-8907
DOI: 10.1007/s42979-021-00739-w