The objective of this letter is to present a family of q-ary codes with parameters $[rac{q^m-1}{q-1},rac{q^m-1}{q-1}-2m,d]$, where m is a positive integer, q is a power of an odd prime and 4≤d≤5. The parameters are proved to be optimal or almost optimal with respect to an upper bound on linear codes.
Wenhua ZHANG
Southwest Jiaotong University
Shidong ZHANG
Southwest Jiaotong University
Yong WANG
Southwest Jiaotong University
Jianpeng WANG
Southwest Jiaotong University
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Wenhua ZHANG, Shidong ZHANG, Yong WANG, Jianpeng WANG, "A Family of q-Ary Cyclic Codes with Optimal Parameters" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 3, pp. 631-633, March 2020, doi: 10.1587/transfun.2019EAL2126.
Abstract: The objective of this letter is to present a family of q-ary codes with parameters $[rac{q^m-1}{q-1},rac{q^m-1}{q-1}-2m,d]$, where m is a positive integer, q is a power of an odd prime and 4≤d≤5. The parameters are proved to be optimal or almost optimal with respect to an upper bound on linear codes.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019EAL2126/_p
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@ARTICLE{e103-a_3_631,
author={Wenhua ZHANG, Shidong ZHANG, Yong WANG, Jianpeng WANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Family of q-Ary Cyclic Codes with Optimal Parameters},
year={2020},
volume={E103-A},
number={3},
pages={631-633},
abstract={The objective of this letter is to present a family of q-ary codes with parameters $[rac{q^m-1}{q-1},rac{q^m-1}{q-1}-2m,d]$, where m is a positive integer, q is a power of an odd prime and 4≤d≤5. The parameters are proved to be optimal or almost optimal with respect to an upper bound on linear codes.},
keywords={},
doi={10.1587/transfun.2019EAL2126},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - A Family of q-Ary Cyclic Codes with Optimal Parameters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 631
EP - 633
AU - Wenhua ZHANG
AU - Shidong ZHANG
AU - Yong WANG
AU - Jianpeng WANG
PY - 2020
DO - 10.1587/transfun.2019EAL2126
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2020
AB - The objective of this letter is to present a family of q-ary codes with parameters $[rac{q^m-1}{q-1},rac{q^m-1}{q-1}-2m,d]$, where m is a positive integer, q is a power of an odd prime and 4≤d≤5. The parameters are proved to be optimal or almost optimal with respect to an upper bound on linear codes.
ER -