AU - Emami, M.
AU - pedram, L.
TI - Optimal Linear Codes Over GF(7) and GF(11) with Dimension 3
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 10
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-384-en.html
4100 - http://ijmsi.ir/article-1-384-en.pdf
SO - IJMSI 1
ABĀ - Let $n_q(k,d)$ denote the smallest value of $n$ for which there exists a linear $[n,k,d]$-code over the Galois field $GF(q)$. An $[n,k,d]$-code whose length is equal to $n_q(k,d)$ is called {em optimal}. In this paper we present some matrix generators for the family of optimal $[n,3,d]$ codes over $GF(7)$ and $GF(11)$. Most of our given codes in $GF(7)$ are non-isomorphic with the codes presented before. Our given codes in $GF(11)$ are all new.
CP - IRAN
IN - Univ. of Zanjan
LG - eng
PB - IJMSI
PG - 11
PT - Research paper
YR - 2015