长比特循环码的最大码长与同构
The Maximum Length and Isomorphism of Circuit Codes with Long Bit Runs
摘要：
最近，Byrnes提出了一个具有长比特游程和奇数扩展的对称电路码的最大长度的公式。在这里，我们表明，该公式也是有效的，当蔓延是均匀的。我们还建立了所有的最大长度的对称电路码与长的位运行同构的无限和非平凡的家庭的电路码，道格拉斯以前的结果进行了推广。
英文摘要：
Recently, Byrnes presented a formula for the maximum length of a symmetric circuit code that has a long bit run and odd spread. Here we show that the formula is also valid when the spread is even. We also establish that all maximum length symmetric circuit codes with long bit runs are isomorphic for an infinite and nontrivial family of circuit codes, extending a previous result of Douglas.
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。
