New Extremal Binary Self-Dual Codes from Block Circulant Matrices and Block Quadratic Residue Circulant Matrices

Autor: Gildea, Joe, Kaya, Abidin, Taylor, Rhian, Tylyshchak, Alexander, Yildiz, Bahattin
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual codes of various lengths over F2 and F2 + uF2. Using extensions, neighbours and sequences of neighbours, we construct many new self-dual codes. In particular, we construct one new self-dual code of length 66 and 51 new self-dual codes of length 68.
Databáze: arXiv