@Article{CMR-31-4,
author = {Nan, Jizhu and Yu, Xuemin},
title = {Self-Dual Codes with Symplectic Inner Product},
journal = {Communications in Mathematical Research },
year = {2015},
volume = {31},
number = {4},
pages = {345--350},
abstract = {<p style="text-align: justify;">In this paper, we discuss a kind of Hermitian inner product — symplectic
inner product, which is different from the original inner product — Euclidean inner
product. According to the definition of symplectic inner product, the codes under
the symplectic inner product have better properties than those under the general
Hermitian inner product. Here we present the necessary and sufficient condition for
judging whether a linear code $C$ over $F_p$ with a generator matrix in the standard
form is a symplectic self-dual code. In addition, we give a method for constructing a
new symplectic self-dual codes over $F_p$, which is simpler than others.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2015.04.06},
url = {https://global-sci.com/article/81728/self-dual-codes-with-symplectic-inner-product}
}