Acta Scientiarum Naturalium Universitatis Pekinensis

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A Scheme of Error-detecting Codes

QIU Weisheng   

  1. Department of mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2000-03-17 Online:2001-01-20 Published:2001-01-20



  1. 北京大学数学科学学院数学系,北京,100871

Abstract: It is presented that a scheme of error-detecting codes, give its computational methods, find probabilities detected of each type of error. In particular, a set of check character systems of 《National Standard of People's Republic of China: Data Processing-Check Character Systems》 and 《International Standard ISO 7064》can be derived from this scheme.

Key words: error-detecting codes, ring of congruence classes, probabilities detected of errors

摘要: 提出了一类检错编码方案,给出了它的计算方法,求出了它检查出各类错误的概率。特别地,从这类检错编码方案,可以推导出《中华人民共和国国家标准:数据处理——校验码系统》和《International Standard ISO 7064》中的各个校验码系统。

关键词: 检错编码, 剩余类环, 检错概率

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