@article {IOPORT.05901718, author = {Yoshida, Yuri and Maruta, Tatsuya}, title = {An extension theorem for $[n,k,d]_q$ codes with $\gcd(d,q)=2$.}, year = {2010}, journal = {The Australasian Journal of Combinatorics}, volume = {48}, issn = {1034-4942}, pages = {117-131}, publisher = {Published for the Combinatorial Mathematics Society of Australasia by the Centre for Discrete Mathematics and Computing, the University of Queensland, Brisbane, QLD}, abstract = {Summary: As a continuation of work by {\it T. Maruta} [Finite Fields Appl. 10, No.~4, 674--685 (2004; Zbl 1075.11082)], we investigate the extendability of $[n,k,d]_q$ codes with $d\equiv-2\pmod q$ whose weights are congruent to 0, $-1$ or $-2\pmod q$ for even $q\ge 4$. We show that such codes are extendable for all even $q\ge 8$, giving a new extension theorem for $[n,k,d]_q$ codes with $\gcd(d,q)=2$. We also consider the extendability of such codes for $q=4$.}, identifier = {05901718}, }