双偶self-dual二元码的自同构
Automorphisms of doubly-even self-dual binary codes
摘要：
二元双偶自对偶码的自同构群总是包含在交错群中。另一方面，给定次数为$n$的置换群$G$，存在双偶自对偶$G$ -不变码当且仅当$n$是8的倍数，每个简单自对偶$\F_2G$ -模在$\F_2^n$中偶重数出现，并且$G$包含在交错群中。
英文摘要：
The automorphism group of a binary doubly-even self-dual code is always contained in the alternating group. On the other hand, given a permutation group $G$ of degree $n$ there exists a doubly-even self-dual $G$-invariant code if and only if $n$ is a multiple of 8, every simple self-dual $\F_2G$-module occurs with even multiplicity in $\F_2^n$, and $G$ is contained in the alternating group.
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。
