New code parameters from reed-solomon subfield codes

IEEE Transactions on Information Theory

Volumn 43, Issue 3, 1997, Pages 953-968

  Bierbrauer, Jürgen ^a   Edel, Yves ^b  

^a MICHIGAN TECHNOLOGICAL UNIVERSITY   (United States)

^b UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

BCH codes; Cyclotomic cosets; Extension; Lengthening; Optimal codes; Orthogonal arrays; Reed Solomon codes

Indexed keywords

BINARY CODES; DATABASE SYSTEMS; INFORMATION THEORY; OPTIMIZATION; PARAMETER ESTIMATION; THEOREM PROVING;

CODE PARAMETERS;

CODES (SYMBOLS);

EID: 0031142676     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.568704     Document Type: Article

References (11)

1. J. Bierbrauer, "Construction of orthogonal arrays," to be published in J. Statist. Planning and Inference.
2. J. Bierbrauer. Home page. Available HTTP: http://www.math.mtu.edu/home/math/jbierbra/Home.html.
3. A. E. Brouwer. Database of bounds for the minimum distance for binary, ternary, and quaternary codes. Available HTTP: URL http://www.win.-tue.nl/win/math/dw/voorlincod.html or URL http://www.cwi.nl/htbin-/aeb/lincodbd/2/136/114. Also available FTP: URL ftp://ftp.win.tue.nl-/pub/math/codes/table[234].gz.
4. I. Boukliev, "A method for construction of good linear codes," unpublished.
5. A. E. Brouwer and T. Verhoeff, "An updated table of minimum-distance bounds for binary linear codes," IEEE Trans. Inform. Theory, vol. 39, pp. 662-677, 1993.
6. P. Delsarte, "On subfield subcodes of modified Reed-Solomon codes," IEEE Trans. Inform. Theory, vol. IT-21, pp. 575-576, 1975.
7. S. M. Dodunekov, T. Helleseth, N. Manev, and Ø.Ytrehus, "New bounds on binary linear codes of dimension eight," IEEE Trans. Inform. Theory, vol. IT-33, pp. 917-919, 1987.
8. B. Groneick and S. Grosse, "New binary codes," IEEE Trans. Inform. Theory, vol. 40, pp. 510-512, 1994.
9. J. H. van Lint, Introduction to Coding Theory. Berlin, Germany: Springer 1982.
10. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North-Holland, 1977 (7th ed. 1992).
11. L. Rédei, Lückenhafte Polynome. Basel, Stuttgart: Birkhäuser, 1970.