Codes defined by forms of degree 2 on non-degenerate Hermitian varieties in $${\mathbb{P}^{4}(\mathbb{F}

Codes defined by forms of degree 2 on non-degenerate Hermitian varieties in $${\mathbb{P}^{4}(\mathbb{F}_q)}$$

Published:2008-06-21 Issue:1 Volume:50 Page:135-146
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Edoukou Frédéric A. B.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

http://link.springer.com/content/pdf/10.1007/s10623-008-9219-1.pdf

Reference17 articles.

1. Bose R.C., Chakravarti I.M. (1966) Hermitian varieties in finite projective space PG(N,q). Can. J. Math. 18: 1161–1182

2. Chakravarti I.M. (1971) Some properties and applications of Hermitian varieties in finite projective space PG(N,q 2) in the construction of strongly regular graphs (two-class association schemes) and block designs. J. Comb. Theory Ser. B 11(3): 268–283

3. Edoukou F.A.B. (2007) Codes defined by forms of degree 2 on Hermitian surface and Sørensen conjecture. Finite Fields Th. Appli. 13(3): 616–627

4. Edoukou F.A.B.: The weight distribution of the functional codes defined by forms of degree 2 on Hermitian surfaces. arXiv:math. AG/0512476 v 1 20 Dec 2005, 13 pp., Accepted by Journal de Théorie de Nombres de Bordeaux (2008).

5. Hansen S.H. (2001) Error-correcting codes from higher-dimensional varieties. Finite Fields Th. Appl. 7: 530–552

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