Bounds on minimum distance for linear codes over GF(5)

Applicable Algebra in Engineering, Communications and Computing

Volumn 9, Issue 6, 1999, Pages 547-558

  Daskalov, Rumen N ^a   Gulliver, T Aaron ^b  

^a TECHNICAL UNIVERSITY OF GABROVO   (Bulgaria)

^b UNIVERSITY OF CANTERBURY   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

ENCODING (SYMBOLS); LINEAR SYSTEMS;

LINEAR CODES; QUASI-CYCLIC CODES;

CODES (SYMBOLS);

EID: 0033165510     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002000050117     Document Type: Article

References (13)

1. Boukliev, I., Kapralov, S., Maruta, T., Fukui, M.: Optimal Linear Codes of Dimension 4 over GF(5). IEEE Trans. Inf. Theory 43, 308-313 (1997)
2. Brouwer, A.E.: The Linear Programming Bound for Binary Linear Codes. IEEE Trans. Inf. Theory 39, 677-680 (1993)
3. Brouwer, A.E.: Linear Code Bound Server, Eindhoven University of Technology, the Netherlands, available electronically at URL: http://www.win.tue.nl/win/math/dw/ voorlincod.html.
4. Daskalov, R.N.: The Linear Programming Bound for Quaternary Linear Codes. Proc. Fourth Inter. Workshop on Algebraic and Combinatorial Coding Theory, Novgorod, Russia, 74-77 (1994)
5. Daskalov, R.N., Gulliver, TA.: New Good Quasi-cyclic Ternary and Quaternary Linear Codes. IEEE Trans. Inf. Theory 43, 1647-1650 (1997)
6. Dodunekov, S.M., Landjev, I.: Near-MDS Codes over Some Small Fields. Disc. Math. (to appear)
7. Greenough, P.P., Hill, R.: Optimal Ternary Quasi-cyclic Codes, Designs, Codes and Crypt. 2, 81-91 (1992)
8. Gulliver, TA., Bhargava, V.K.: Some Best Rate 1/p and Rate (p-1)/p Systematic Quasi-cyclic Codes over GF(3) and GF(4). IEEE Trans. Inf. Theory 38, 1369-1374 (1992)
9. Gulliver, T.A., Bhargava, V.K.: Some Best Rate 1/p Quasi-cyclic Codes over GF(5). In: Fortier, P., Chouinard, J.-Y., Gulliver, T.A. (eds.) Information Theory and Applications 2. Lecture Notes in Computer Science, pp 28-40 Vol. 1133. New York: Springer, 1996
10. Gulliver, T. A., Bhargava, V.K.: New Good Rate (m - 1 )/pm Ternary and Quaternary Quasi-cyclic Codes. Designs, Codes and Crypt. 7, 223-233 (1996)
11. Hill, R.: Optimal Linear Codes. In: Mitchel, C., (ed.) Cryptography and Coding II. pp 75-104 Oxford: Oxford Univ. Press, 1992
12. MacWilliams, F.J., Sloane, N.J.A.: The Theory of Error-Correcting Codes. New York: North-Holland 1977
13. Séguin, G.E., Drolet, G.: The Theory of 1-generator Quasi-cyclic Codes. Techncial Report, Royal Military College of Canada (1991)