ON THE COVERING RADIUS OF SOME MODULAR CODES

被引:10
作者
Gupta, Manish K. [1 ]
Durairajan, Chinnappillai [2 ]
机构
[1] Dhirubhai Ambani Inst Informat & Commun Technol, Lab Nat Informat Proc, Gandhinagar 382007, Gujarat, India
[2] Bharathidasan Univ, Dept Math, Sch Math Sci, Tiruchirappalli 620024, Tamil Nadu, India
关键词
Covering radius; codes over rings; simplex codes; Hamming codes; SELF-DUAL CODES; II CODES;
D O I
10.3934/amc.2014.8.129
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper gives lower and upper bounds on the covering radius of codes over Z(2s) with respect to homogenous distance. We also determine the covering radius of various Repetition codes, Simplex codes (Type alpha and Type beta) and their dual and give bounds on the covering radii for MacDonald codes of both types over Z(4).
引用
收藏
页码:129 / 137
页数:9
相关论文
共 22 条
[11]  
Constantinescu I., 1996, P 5 INT WORKSH ALG C, P98
[12]   SELF-DUAL CODES OVER THE INTEGERS MODULO-4 [J].
CONWAY, JH ;
SLOANE, NJA .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1993, 62 (01) :30-45
[13]  
Dodunekov S., 1998, Electron. J. Comb, V5, pR37, DOI DOI 10.37236/1375
[14]  
Dougherty S. T., 2001, FINITE FIELDS APPL, V7
[15]  
Dougherty S. T., 1999, HOKKAIDO MATH J, V28, P253, DOI [10.14492/hokmj/1351001213, DOI 10.14492/H0KMJ/1351001213]
[16]   Type II self-dual codes over finite rings and even unimodular lattices [J].
Dougherty, ST ;
Gulliver, TA ;
Harada, M .
JOURNAL OF ALGEBRAIC COMBINATORICS, 1999, 9 (03) :233-250
[17]  
Durairajan C., 1996, THESIS IIT KANPUR
[18]   Double circulant self-dual codes over Z2k [J].
Gulliver, TA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (07) :3105-3123
[19]   THE Z4-LINEARITY OF KERDOCK, PREPARATA, GOETHALS, AND RELATED CODES [J].
HAMMONS, AR ;
KUMAR, PV ;
CALDERBANK, AR ;
SLOANE, NJA ;
SOLE, P .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1994, 40 (02) :301-319
[20]   New Extremal Type II Codes over ℤ4 [J].
Harada M. .
Designs, Codes and Cryptography, 1998, 13 (3) :271-284