Construction of divisible formal weight enumerators and extremal polynomials not satisfying the Riemann hypothesis

• Published in: arXiv.org
• Main Author: Chinen, Koji
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 21.05.2018
• Subjects: Algorithms; Hypotheses; Invariants; Mathematical analysis; Polynomials; Rings (mathematics); Weight

The formal weight enumerators were first introduced by M. Ozeki. They form a ring of invariant polynomials which is similar to that of the weight enumerators of Type II codes. Later, the zeta functions for linear codes were discovered and their theory was developed by I. Duursma. It was generalized...