On Completely Regular Codes

被引：29
作者：
Borges, J. [1 ]
Rifa, J. [1 ]
Zinoviev, V. A. [2 ]
机构：
[1] Univ Autonoma Barcelona, Sch Engn, Dept Informat & Commun Engn, Bellaterra, Spain
[2] Russian Acad Sci, Kharkevich Inst Informat Transmiss Problems, Moscow, Russia
来源：
PROBLEMS OF INFORMATION TRANSMISSION | 2019年 / 55卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
PERFECT CODES; NONEXISTENCE;
D O I：
10.1134/S0032946019010010
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This work is a survey on completely regular codes. Known properties, relations with other combinatorial structures, and construction methods are considered. The existence problem is also discussed, and known results for some particular cases are established. In addition, we present several new results on completely regular codes with covering radius = 2 and on extended completely regular codes.
引用
收藏
页码：1 / 45
页数：45
相关论文
共 104 条
[1]  
[Anonymous], PHILIPS RES REP S
[2]  
[Anonymous], 1989, DISTANCE REGULAR GRA
[3]   GENERALIZED TERT-DESIGNS AND MAJORITY DECODING OF LINEAR CODES [J].
ASSMUS, EF ;
GOETHALS, JM ;
MATTSON, HF .
INFORMATION AND CONTROL, 1976, 32 (01) :43-60
[4]  
Avgustinovich SV, 2011, SIB ELECTRON MATH RE, V8, P310
[5]   COMPLETELY REGULAR CODES IN THE INFINITE HEXAGONAL GRID [J].
Avgustinovich, Sergey Vladimirovich ;
Krotov, Denis Stanislavovich ;
Vasil'eva, Anastasia Yurievna .
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2016, 13 :987-1016
[6]  
[Августинович Сергей Владимирович Avgustinovich Sergey Vladimirovich], 2010, [Дискретный анализ и исследование операций, Diskretnyi analiz i issledovanie operatsii], V17, P3
[7]  
BAKER RD, 1945, IEEE TRANS INFORM TH, V29, P342
[8]  
BANNAI E, 2002, J LONDON MATH SOC 2, V16, P197
[9]  
Bassalygo L.A., 1977, Probl. Peredachi Inf, V13, P22
[10]  
Bassalygo L.A., 1974, Probl. Peredachi Inf, V10, P9
12345678910