长比特循环码的最大码长及一个新的特征定理
The Maximum Length of Circuit Codes With Long Bit Runs and a New Characterization Theorem
摘要:
我们研究电路码与长位运行(序列的不同的转变),并推导出一个公式的最大长度为一个无限类的对称电路码与长位运行。这个公式也导致在一个无限类的电路码的对称性或位游程长度没有限制的最大长度的改进的下界。基于Deimer定理,给出了扩展$k$电路码的一个新的刻画.
英文摘要:
We study circuit codes with long bit runs (sequences of distinct transitions) and derive a formula for the maximum length for an infinite class of symmetric circuit codes with long bit runs. This formula also results in an improved lower bound on the maximum length for an infinite class of circuit codes without restrictions on symmetry or bit run length. We also present a new characterization of circuit codes of spread $k$ based on a theorem of Deimer.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。