ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q)

Yue Dianwu; Hu Zhengming

Volume 18 Issue 3

May 1996

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Article Navigation > Journal of Electronics & Information Technology > 1996 > 18(3): 263-269

Yue Dianwu, Hu Zhengming. ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q)[J]. Journal of Electronics & Information Technology, 1996, 18(3): 263-269.

Citation:

Yue Dianwu, Hu Zhengming. ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q)[J]. Journal of Electronics & Information Technology, 1996, 18(3): 263-269.

Yue Dianwu, Hu Zhengming. ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q)[J]. Journal of Electronics & Information Technology, 1996, 18(3): 263-269.

Citation:

Yue Dianwu, Hu Zhengming. ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q)[J]. Journal of Electronics & Information Technology, 1996, 18(3): 263-269.

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ON THE DIMENSION AND MINIMUM DISTANCE OF BCH CODES OVER GF(q)

Received Date: 1994-11-01
Rev Recd Date: 1995-02-27
Publish Date: 1996-05-19

Abstract

Abstract

At first, a formula for computing the dimension of (narrow-sense, primitive) BCH codes over GF(q) is offered, which is better than the result given by F. J. MacWilliams et al. (1977). then a new method for calculating the dimension of BCH codes is proposed. Moreover, it is proved that BCH bound is a leader of cyclotomic cosets, and it is guessed that the minimum distance of BCH codes is also a leader of cvclotomic cosets.

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References(1)

References

MacWilliams F J, Sloane N J A. The Theory of Error-Correcting Codes. Amsterdam: North-Holland,[2]Publishing Company. 1977, 201-267.[3]岳殿武.循环陪集结构及其应用.系统科学与数学,1992, 12(1): 15-20.[4]岳殿武,纪青君.关于Goppa码、Alternant码最小距离下限的简化算法.通信学报,1991, 12(3): 10-16.[5]Augot D, Charpin P, Sendrier N. IEEE Trans. on IT, 1992, IT-38(3): 960-973.[6]Cohen G. IEEE Trans. on IT, 1980, IT-26(3): 363.[7]Peterson W W. J. IECE Japan, 1967, 50(6): 1183-1190.[8]Kasami T, Tokura N. IEEE Trans. on IT, 1969, IT-15(3): 408-413.[9]Helleseth T. Discrete Applied Mathematics, 1985, (11): 157-173.

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