On Cosets of Weight 4 of Binary BCH Codes with Minimum Distance 8 and Exponential Sums-Reference-Cited by-同舟云学术

On Cosets of Weight 4 of Binary BCH Codes with Minimum Distance 8 and Exponential Sums

Published:2005-10 Issue:4 Volume:41 Page:331-348
ISSN:0032-9460
Container-title:Problems of Information Transmission
language:en
Short-container-title:Probl Inf Transm

Author:

Zinoviev V. A.,Helleseth T.,Charpin P.

Publisher

Springer Science and Business Media LLC

Subject

Computer Networks and Communications,Computer Science Applications,Information Systems

Link

http://link.springer.com/content/pdf/10.1007/s11122-006-0003-4.pdf

Reference18 articles.

1. Charpin, P. and Zinoviev, V.A., On Coset Weight Distributions of the 3-Error-Correcting BCH Codes, SIAM J. Discrete Math., 1997, vol. 10, no.1, pp. 128–145.

2. van der Geer, G. and van der Vlugt, M., The Coset Weight Distributions of Certain BCH Codes and a Family of Curves, Enseign. Math. (2), 2002, vol. 48, no.1–2, pp. 3–21.

3. Carlitz, L., Kloosterman Sums and Finite Field Extensions, Acta Arith., 1969, vol. 15, no.2, pp. 179–193.

4. Charpin, P., Helleseth, T., and Zinoviev, V.A., On Binary BCH Codes with Minimum Distance 8 and Kloosterman Sums, in Proc. 9th Int. Workshop on Algebraic and Combinatorial Coding Theory, Kranevo, Bulgaria, 2004, pp. 90–95.

5. Charpin, P., Helleseth, T., and Zinoviev, V.A., The Divisibility Modulo 24 of Kloosterman Sums on GF(2 m ), m Odd, to appear in J. Combin. Theory, Ser. A.

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1. Crosscorrelation of m-Sequences, Exponential Sums and Dickson Polynomials;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2010

2. On Cosets of Weight 4 of $BCH(2^{m},8), m$ Even, and Exponential Sums;SIAM Journal on Discrete Mathematics;2009-01

3. The divisibility modulo 24 of Kloosterman sums on GF(2m), m odd;Journal of Combinatorial Theory, Series A;2007-02