ON JUSTESENS ALGEBRAIC GEOMETRY CODES

Lu Peizhong; Song Guowen

Volume 14 Issue 6

Nov. 1992

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Lu Peizhong, Song Guowen. ON JUSTESENS ALGEBRAIC GEOMETRY CODES[J]. Journal of Electronics & Information Technology, 1992, 14(6): 602-610.

Citation:

Lu Peizhong, Song Guowen. ON JUSTESENS ALGEBRAIC GEOMETRY CODES[J]. Journal of Electronics & Information Technology, 1992, 14(6): 602-610.

Lu Peizhong, Song Guowen. ON JUSTESENS ALGEBRAIC GEOMETRY CODES[J]. Journal of Electronics & Information Technology, 1992, 14(6): 602-610.

Citation:

Lu Peizhong, Song Guowen. ON JUSTESENS ALGEBRAIC GEOMETRY CODES[J]. Journal of Electronics & Information Technology, 1992, 14(6): 602-610.

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ON JUSTESENS ALGEBRAIC GEOMETRY CODES

Received Date: 1991-05-30
Rev Recd Date: 1992-01-03
Publish Date: 1992-11-19

Abstract

Abstract

An isomorphism preserving Hamming weight between two algebraic geometry (AG) codes is presented to obtain the main parameters of Justesen s algebraic geometry (JAG) codes. To deduce a simple approach to the decoding algorithm, a code word in a small JAG code is used to correspond to error-locator polynomial. By this means, a simple decoding procedure and the ability of error correcting are explored obviously. The low and up bounds of the dimension of AG codes are also obtained.

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References(1)

References

J. Justesen et al., IEEE Trans. on IT-35(1989)4, 811-821.[2]A. N. Skorobogatov, S.G.Vladut, IEEE Trans. on IT, IT-36(1990)5, 1051-1060.[3]S. Iitaka, Algebraic Geometry, New York: Springer-Verlag, (1982), pp. 185-187.[4]R. Blahut, Theory and Practice of Error Control Codes, MA: Addison-Wesley, (1983), pp. I80-200.

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