On ℤ4-linear codes with the parameters of Reed-Muller codes-Reference-Cited by-同舟云学术

On ℤ4-linear codes with the parameters of Reed-Muller codes

Published:2007-03 Issue:1 Volume:43 Page:26-32
ISSN:0032-9460
Container-title:Problems of Information Transmission
language:en
Short-container-title:Probl Inf Transm

Author:

Solov’eva F. I.

Publisher

Pleiades Publishing Ltd

Subject

Computer Networks and Communications,Computer Science Applications,Information Systems

Link

http://link.springer.com/content/pdf/10.1134/S0032946007010048.pdf

Reference21 articles.

1. Nechaev, A.A., Kerdock Code in a Cyclic Form, Diskret. Mat., 1989, vol. 1, no. 4, pp. 123–139 [Discrete Math. Appl. (Engl. Transl.), 1991, vol. 1, no. 4, pp. 365–384].

2. Kuz’min, A.S. and Nechaev, A.A., Construction of Noise-Resistant Codes by Means of Linear Recurrences over Galois Rings, Uspekhi Mat. Nauk, 1992, vol. 47, no. 5, pp. 183–184 [Russian Math. Surveys (Engl. Transl.), 1992, vol. 47, no. 5, pp. 189–190].

3. Hammons, A.R., Jr., Kumar, P.V., Calderbank, A.R., Sloane, N.J.A., and Solé, P., The ℤ4-Linearity of Kerdock, Preparata, Goethals, and Related Codes, IEEE Trans. Inform. Theory, 1994, vol. 40, no. 2, pp. 301–319.

4. Nechaev, A.A. and Kuz’min, A.S., ℤ 4 n -Linearity, Two Approaches, in Proc. 5th Int. Workshop on Algebraic and Combinatorial Coding Theory, Sozopol, Bulgary, 1996, pp. 212–215.

5. Pujol, J. and Rifà, J., Additive Reed-Muller Codes, in Proc. 1997 IEEE Int. Symp. on Information Theory, Ulm, Germany, 1997, p. 508.

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