Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582635 | Finite Fields and Their Applications | 2016 | 10 Pages |
Abstract
It is shown that the extended quadratic residue code of length 20 over GF(7)GF(7) is a unique self-dual [20,10,9][20,10,9] code C such that the lattice obtained from C by Construction A is isomorphic to the 20-dimensional unimodular lattice D20+, up to equivalence. This is done by converting the classification of such self-dual codes to that of skew-Hadamard matrices of order 20.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Masaaki Harada, Akihiro Munemasa,