In this paper, we introduce and investigate the neighborhood of binary self-dual codes. We prove that there is no better Type I code than the best Type II code of the same length. Further, we give some new necessary conditions for the existence of a singly-even $(56,28,12)$-code and a doubly-even $(72,36,16)$-code.
翻译:在本文中,我们介绍和调查了二元自用代码的周边。我们证明,第一型代码没有比同一长度的第二型最佳代码更好的了。此外,我们为单数(56,28,12)美元代码和双倍数(72,36,16)美元代码的存在提供了一些新的必要条件。