ON LINEAR CODES OF ALMOST CONSTANT WEIGHT AND THE RELATED ARCS

被引：4
|
作者：
Landjev, Ivan [1 ]
Rousseva, Assia [2 ]
Storme, Leo [3 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev St,Bl 8, BU-1113 Sofia, Bulgaria
[2] Sofia Univ St Kliment Ohridski, Fac Math & Informat, 5 J Bourchier Blvd, Sofia 1164, Bulgaria
[3] Univ Ghent, Dept Math Anal Log & Discrete Math, Krijgslaan 281 Bldg S8, B-9000 Ghent, Belgium
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2019年 / 72卷 / 12期
关键词：
finite geometries; arcs; linear codes; constant weight codes; MAXIMAL ARCS;
D O I：
10.7546/CRABS.2019.12.04
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this note we characterize arcs in PG(r, q) in which the hyperplanes have multiplicities w, w + 1, and w + 2. This result characterizes all linear codes in which the non-zero weights are d, d + 1, or d + 2.
引用
收藏
页码：1626 / 1633
页数：8
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