English

应用科学学报 ›› 1987, Vol. 5 ›› Issue (3): 260-264.

• 论文 • 上一篇    下一篇

p-值逻辑与纠错编码

肖国镇   

  1. 西北电讯工程学院
  • 收稿日期:1984-11-03 修回日期:1986-02-14 出版日期:1987-09-30 发布日期:1987-09-30
  • 基金资助:
    中国科学院科学基金资助项目

P-VALUED LOGIC AND ERROR-CORRECTING CODES

XIAO GUOZHEN   

  1. Northwest Telecommunication Engineering Institute
  • Received:1984-11-03 Revised:1986-02-14 Online:1987-09-30 Published:1987-09-30

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摘要： 本文试图把GF(p)上的纠错编码问题作为数字网络系统看待,从而给出纠错编码的新的数学模型.应用这一思想,可以简化传统的编码方法。为此,我们首先把线性分组码转化为p-值逻辑函数组,然后把这一函数组作为[0,pn)上的阶梯函数,再运用Cherestenson变换在谱域上进行研究.

Abstract: This paper treats the error-correcting codes over GF(p) as a digital network problem, and presents a new mathematical model of errorcorrecting. The traditional coding method is simplified. The linear block code is transformed into a system of p-valued logical function, and the system is expanded in a finite Oherestenson series.