论文标题
估计Hermitian代码子场子代码的尺寸
Estimating The Dimension Of The Subfield Subcodes of Hermitian Codes
论文作者
论文摘要
在本文中，我们研究了Hermitian代码子场子代码的真实维度的行为。我们的动机是使用这些类别的线性代码来改善McEliece密码系统的参数，从而使关键大小和安全级别。 McEliece方案是自当前公共密钥方案的有前途的替代加密方案之一，因为在过去的四十年中，他们抗拒所有已知的量子计算攻击。通过分析真实维度的计算数据系列，我们得出结论，可以通过极值分布函数来估算它们。
In this paper, we study the behavior of the true dimension of the subfield subcodes of Hermitian codes. Our motivation is to use these classes of linear codes to improve the parameters of the McEliece cryptosystem, such that key size and security level. The McEliece scheme is one of the promising alternative cryptographic schemes to the current public key schemes since in the last four decades, they resisted all known quantum computing attacks. By analyzing computational data series of true dimension, we concluded that they can be estimated by the extreme value distribution function.
