Some new binary, quasi-cyclic codes

P.W. Heijnen; H.C.A. Tilborg, van; T. Verhoeff; S. Weijs

doi:10.1109/18.705580

Some new binary, quasi-cyclic codes

P.W. Heijnen, H.C.A. Tilborg, van, T. Verhoeff, S. Weijs

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

By means of local search techniques, five quasi-cyclic codes have been found that have a higher minimum distance than known binary linear codes. The new codes have parameters [102,17,37], [60,20,17], [84,21,27], [105,21,36], and [100,25,30]. Also, 39 other quasi-cyclic codes have been found that improve the parameter sets of previously known quasi-cyclic codes. Twenty-four of them give a new and easier description of binary linear codes with best known parameters.

Original language	English
Pages (from-to)	1994-1996
Journal	IEEE Transactions on Information Theory
Volume	44
Issue number	5
DOIs	https://doi.org/10.1109/18.705580
Publication status	Published - 1998

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title = "Some new binary, quasi-cyclic codes",

abstract = "By means of local search techniques, five quasi-cyclic codes have been found that have a higher minimum distance than known binary linear codes. The new codes have parameters [102,17,37], [60,20,17], [84,21,27], [105,21,36], and [100,25,30]. Also, 39 other quasi-cyclic codes have been found that improve the parameter sets of previously known quasi-cyclic codes. Twenty-four of them give a new and easier description of binary linear codes with best known parameters.",

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AU - Heijnen, P.W.

AU - Tilborg, van, H.C.A.

AU - Verhoeff, T.

AU - Weijs, S.

PY - 1998

Y1 - 1998

N2 - By means of local search techniques, five quasi-cyclic codes have been found that have a higher minimum distance than known binary linear codes. The new codes have parameters [102,17,37], [60,20,17], [84,21,27], [105,21,36], and [100,25,30]. Also, 39 other quasi-cyclic codes have been found that improve the parameter sets of previously known quasi-cyclic codes. Twenty-four of them give a new and easier description of binary linear codes with best known parameters.

AB - By means of local search techniques, five quasi-cyclic codes have been found that have a higher minimum distance than known binary linear codes. The new codes have parameters [102,17,37], [60,20,17], [84,21,27], [105,21,36], and [100,25,30]. Also, 39 other quasi-cyclic codes have been found that improve the parameter sets of previously known quasi-cyclic codes. Twenty-four of them give a new and easier description of binary linear codes with best known parameters.

U2 - 10.1109/18.705580

DO - 10.1109/18.705580

M3 - Article

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VL - 44

SP - 1994

EP - 1996

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 5

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Some new binary, quasi-cyclic codes

Abstract

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