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本文分析了由IEC TC-57,IEEE 77.1工作组和HDLC,SDLC,DDCMP,ADCCP规约所推荐的(8i+16,8i)码的生成多项式,提出了选择生成多项式的原则、分析方法和计算结果。说明了用g(x)=15B93生成的缩短循环码码长在128以内有海明距离6,短码时,不可检测错误概率比较小。对于帧校验用的多项式,以g(x)=1A097生成的缩短循环码和以g(x)=1D6C5生成的缩短BCH码是比较好的选择。
This paper analyzes the generator polynomials of (8i + 16, 8i) codes recommended by IEC TC-57, IEEE 77.1 Working Group and HDLC, SDLC, DDCMP and ADCCP protocols. The principle, analysis method and calculation result of selecting generator polynomials . It is shown that the shortened cyclic code length generated with g (x) = 15B93 has a Hamming distance of less than 128, and the probability of undetectable error when short codes is relatively small. For frame check polynomials, a shortened cyclic code generated at g (x) = 1A097 and a shortened BCH code generated at g (x) = 1D6C5 are preferred choices.