In this paper, several conjectures proposed in [2] are studied, involving the equivalence and duality of polycyclic codes associated with trinomials. According to the results, we give methods to construct isodual and self-dual polycyclic codes, and study the self-orthogonal and dual-containing polycyclic codes over F2.
翻译:本文研究[2] 中建议的若干猜想,涉及与三环相联的多环代码的等同性和双重性,根据结果,我们给出方法来构建异式和自体多环代码,并研究与F2相比的自体多环代码和含有双重内容的多环代码。