与一般线性群相关的二维Kloosterman和幂矩的递推公式
A Recursive Formula for Power Moments of 2-Dimensional Kloosterman Sums Assiciated with General Linear Groups
摘要：
本文构造了一个与$GL(2,q)$的Kloosterman和有关的二元线性码.这里，$q$是2的幂。得到了二维Kloosterman和的幂次矩的递推公式，等价于Kloosterman和的偶次矩的递推公式。这是通过Pless幂矩恒等式和利用$GL(2,q)$的Kloosterman和的显式表达式来完成的。
英文摘要：
In this paper, we construct a binary linear code connected with the Kloosterman sum for $GL(2,q)$. Here $q$ is a power of two. Then we obtain a recursive formula generating the power moments 2-dimensional Kloosterman sum, equivalently that generating the even power moments of Kloosterman sum in terms of the frequencies of weights in the code. This is done via Pless power moment identity and by utilizing the explicit expression of the Kloosterman sum for $GL(2,q)$.
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。
