一类不可约循环码的重量计数器
The weight Enumerator of some irreducible cyclic codes
摘要：
不可约循环码是已知的最大的分组码类之一，已经研究了很长时间。然而，它们的权重分布仅在少数情况下已知。本文研究了一类不可约循环码，确定了它们的重量分布。此外，还通过编程得到了一些不可约循环码的全部码字，以解释其分布。本文所讨论的码中不同的非零权数在1，2，3，6，8之间变化。
英文摘要：
Irreducible cyclic codes are one of the largest known classes of block codes which have been investigated for a long time. However, their weight distributions are known only for a few cases. In this paper, a class of irreducible cyclic codes are studied and their weight distributions are determined. Moreover, all codewords of some irreducible cyclic codes are obtained through programming in order to explain their distributions. The number of distinct nonzero weights in these codes dealt with in this paper varies among 1,2,3,6,8.
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。
