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从多项式理想的观点译Goppa码

岳殿武 胡正名

岳殿武, 胡正名. 从多项式理想的观点译Goppa码[J]. 电子与信息学报, 1997, 19(2): 274-277.
引用本文: 岳殿武, 胡正名. 从多项式理想的观点译Goppa码[J]. 电子与信息学报, 1997, 19(2): 274-277.
Yue Dianwu, Hu Zhengming. ALGEBRAIC DECODING OF GOPPA CODES FROM A POLYNOMIAL IDEAL POINT OF VIEW[J]. Journal of Electronics & Information Technology, 1997, 19(2): 274-277.
Citation: Yue Dianwu, Hu Zhengming. ALGEBRAIC DECODING OF GOPPA CODES FROM A POLYNOMIAL IDEAL POINT OF VIEW[J]. Journal of Electronics & Information Technology, 1997, 19(2): 274-277.

从多项式理想的观点译Goppa码

ALGEBRAIC DECODING OF GOPPA CODES FROM A POLYNOMIAL IDEAL POINT OF VIEW

  • 摘要: 从多项式理想的观点出发,本文给出了译Goppa码新的方法,该方法能纠正t=[(d-1)/2]个错误,其中d是Goppa码的真正最小距离。
  • Brinton Cooper III A. Direct solution of BCH decoding equations, Communication, Control and Signal Processing. Amsterdam, The Netherlands Elsevier Science Publishers, 1990, 281-286.[2]Chen X, et al. Use of Grobner bases to decode binary cyclic codes up to the true minimum distance. IEEE Trans. on IT., 1994, IT-40(5): 1654-1660.[3]Chen X, et al. General principles for the algebraic decoding of cyclic codes. IEEE Trans. on IT.,1994, IT-40(5): 1661-1663.[4]MacWilliams F J, Sloane N J A. The theory of error-correcting codes, Amsterdam: North Holland Pubiahers, 1977.[5]Massey J L. Shift-register synthesis and BCH decoding. IEEE Trans. on IT., 1969, IT-15(1): 122- 127.[6]岳殿武.求分圆陪集首元的新算法.通信保密,1995, 16(1): 28-32.[7]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.[8]Lang S. Algebra, 2nd ed. Memo Park, CA: Addison-Wesley, 1984, 375.[9]Buchberger B. Grobner Bases: An Algorithmic Method in Polynomial Ideal Theory, Multidimensional Systems Theory. Dordrecht: Reidel, 1985, 185-232.[10]Becker T. Grobner Basea. NewYork: Springer-Verlag, 1993.[11]冯贵良,曾开明.广义Goppa码最小距离下限的扩张及其译码,中国科学,1983, 12.(8): 745-755.
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出版历程
  • 收稿日期:  1995-03-13
  • 修回日期:  1995-06-30
  • 刊出日期:  1997-03-19

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