# Note on an Improvement of the Griesmer Bound for q-ary Linear Codes

Hamada, Noboru; Maruta, Tatsuya

Serdica Journal of Computing (2011)

- Volume: 5, Issue: 3, page 199-206
- ISSN: 1312-6555

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topHamada, Noboru, and Maruta, Tatsuya. "Note on an Improvement of the Griesmer Bound for q-ary Linear Codes." Serdica Journal of Computing 5.3 (2011): 199-206. <http://eudml.org/doc/219598>.

@article{Hamada2011,

abstract = {Let nq(k, d) denote the smallest value of n for which an [n, k, d]q code exists for given integers k and d with k ≥ 3, 1 ≤ d ≤ q^(k−1)
and a prime or a prime power q. The purpose of this note is to show that there exists a series of the functions h3,q, h4,q, ..., hk,q
such that nq(k, d) can be expressed.This research was partially supported by Grant-in-Aid for Scientific Research of Japan
Society for the Promotion of Science under Contract Number 20540129.},

author = {Hamada, Noboru, Maruta, Tatsuya},

journal = {Serdica Journal of Computing},

keywords = {Linear Codes; Griesmer Bound; Griesmer bound; -ary linear codes},

language = {eng},

number = {3},

pages = {199-206},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Note on an Improvement of the Griesmer Bound for q-ary Linear Codes},

url = {http://eudml.org/doc/219598},

volume = {5},

year = {2011},

}

TY - JOUR

AU - Hamada, Noboru

AU - Maruta, Tatsuya

TI - Note on an Improvement of the Griesmer Bound for q-ary Linear Codes

JO - Serdica Journal of Computing

PY - 2011

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 5

IS - 3

SP - 199

EP - 206

AB - Let nq(k, d) denote the smallest value of n for which an [n, k, d]q code exists for given integers k and d with k ≥ 3, 1 ≤ d ≤ q^(k−1)
and a prime or a prime power q. The purpose of this note is to show that there exists a series of the functions h3,q, h4,q, ..., hk,q
such that nq(k, d) can be expressed.This research was partially supported by Grant-in-Aid for Scientific Research of Japan
Society for the Promotion of Science under Contract Number 20540129.

LA - eng

KW - Linear Codes; Griesmer Bound; Griesmer bound; -ary linear codes

UR - http://eudml.org/doc/219598

ER -

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