منابع مشابه
Some new distance-4 constant weight codes
Improved binary constant weight codes with minimum distance 4 and length at most 28 are constructed. A table with bounds on the chromatic number of small Johnson graphs is given.
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Let h l (x)h2 (x) be the parity check polynomial of a binary cyclic code. This article presents a formula for decomposing words in the code as sums of multiples of words in the codes whose parity check polynomials are hl(x) and h 2 (x). This decomposition provides information about the weight distribution of the code. This work was supported by National Science Foundation Grants GK-37449 and GK...
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In 2006, Smith et al. published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by filling in 9 missing constant weight codes, all of which are optimal by the second Johnson bound. This completes the tables for A(n, 16, 9) and A(n, 18, 10) up to n = 63 and corrects some A(n, 14, 8).
متن کاملA new table of constant weight codes
A table of binary constant weight codes of length n <; 28 is presented. Explicit constructions are given for most of the 600 codes in the table; the majority of these codes are new. The known techniques for constructing constant weight codes are surveyed, and also a table is given of (unrestricted) binary codes of length J1 <; 28.
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with M (which is expected). However, as M increases beyond Ahstrart -Some new lower bounds are given for A(n,4, IV), the maximum number of codewords in a binary code of length n, min imum distance 4, and constant weight IV. In a number of cases the results significantly 1.0 improve on the best bounds previously known. h=O 1 .
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1980
ISSN: 0018-9448
DOI: 10.1109/tit.1980.1056190