| 摘要: |
| 设为m正整数，利用有限域上形如f(x) = \alpha x^{m} + \beta x的五类置换多项式簇，构造了五类置换码，并且借助有限域上解方程的一些方法，精确地算出了这五类置换码的参数，包括码长、码字数量和极小汉明距离 |
| 关键词: 置换多项式 置换码 极小汉明距离 码字数量 有限域 |
| DOI： |
| 分类号:O157.4 |
| 基金项目:国家自然科学基金资助项目（62171479） |
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| Construction and Parameter Analysis of Five Classes of Permutation Codes |
|
xiayongbo
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South-Central Minzu University
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| Abstract: |
| Let m be a positive integer. Utilizing five classes of permutation polynomials over finite fields of the form f(x) = \alpha x^{m} + \beta x five classes of permutation codes are constructed. Employing some techniques of solving equations, we determine the parameters of these codes, including the code length, cardinality, and minimum Hamming distance. |
| Key words: permutation polynomial permutation code minimum Hamming distance cardinality Finite field |
