TY - JOUR
T1 - Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes
AU - Harada, Masaaki
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number 19H01802. The author would like to thank the anonymous referees for helpful suggestions and comments. In particular, Proposition is suggested by one of the referees.
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2021/10
Y1 - 2021/10
N2 - We give two methods for constructing many linear complementary dual (LCD for short) codes from a given LCD code, by modifying some known methods for constructing self-dual codes. Using the methods, we construct binary LCD codes and quaternary Hermitian LCD codes, which improve the previously known lower bounds on the largest minimum weights.
AB - We give two methods for constructing many linear complementary dual (LCD for short) codes from a given LCD code, by modifying some known methods for constructing self-dual codes. Using the methods, we construct binary LCD codes and quaternary Hermitian LCD codes, which improve the previously known lower bounds on the largest minimum weights.
KW - Binary LCD code
KW - Quaternary Hermitian LCD code
KW - Ternary LCD code
UR - http://www.scopus.com/inward/record.url?scp=85111640106&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85111640106&partnerID=8YFLogxK
U2 - 10.1007/s10623-021-00916-1
DO - 10.1007/s10623-021-00916-1
M3 - Article
AN - SCOPUS:85111640106
SN - 0925-1022
VL - 89
SP - 2295
EP - 2312
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 10
ER -