The Nonexistence of [132, 6, 86]3 Codes and [135, 6, 88]3 Codes
Serdica Journal of Computing (2011)
- Volume: 5, Issue: 2, page 117-128
- ISSN: 1312-6555
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topOya, Yusuke. "The Nonexistence of [132, 6, 86]3 Codes and [135, 6, 88]3 Codes." Serdica Journal of Computing 5.2 (2011): 117-128. <http://eudml.org/doc/196265>.
@article{Oya2011,
abstract = {We prove the nonexistence of [g3(6, d), 6, d]3 codes for d = 86, 87, 88, where g3(k, d) = ∑⌈d/3i⌉ and i=0 ... k−1. This determines n3(6, d) for d = 86, 87, 88, where nq(k, d) is the minimum length n for which an [n, k, d]q code exists.},
author = {Oya, Yusuke},
journal = {Serdica Journal of Computing},
keywords = {Ternary Linear Codes; Optimal Codes; Projective Geometry},
language = {eng},
number = {2},
pages = {117-128},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Nonexistence of [132, 6, 86]3 Codes and [135, 6, 88]3 Codes},
url = {http://eudml.org/doc/196265},
volume = {5},
year = {2011},
}
TY - JOUR
AU - Oya, Yusuke
TI - The Nonexistence of [132, 6, 86]3 Codes and [135, 6, 88]3 Codes
JO - Serdica Journal of Computing
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 5
IS - 2
SP - 117
EP - 128
AB - We prove the nonexistence of [g3(6, d), 6, d]3 codes for d = 86, 87, 88, where g3(k, d) = ∑⌈d/3i⌉ and i=0 ... k−1. This determines n3(6, d) for d = 86, 87, 88, where nq(k, d) is the minimum length n for which an [n, k, d]q code exists.
LA - eng
KW - Ternary Linear Codes; Optimal Codes; Projective Geometry
UR - http://eudml.org/doc/196265
ER -
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