Reed-Muller codes associated to projective algebraic varieties

Author:

Aubry Yves

Publisher

Springer Berlin Heidelberg

Reference13 articles.

1. Chakravarti I.M., Families of codes with few distinct weights from singular and non-singular hermitian varieties and quadrics in projective geometries and Hadamard difference sets and designs associated with two-weights codes, Coding Theory and Design Theory-Part I: Coding Theory IMA vol. 20.

2. Delsarte P., Goethals J.M. and Mac Williams F.J., On generalized Reed-Muller codes and their relatives, Inform. and Control 16 (1970) 403–442.

3. Games R.A., The Geometry of Quadrics and Correlations of sequences, IEEE Transactions on Information Theory. Vol. IT-32, No. 3, May 1986, 423–426.

4. Hirschfeld J.W.P., Projective Geometries over Finite Fields, Clarendon Press, Oxford, 1979.

5. Kasami T., Lin S. and Peterson W.W., New generalization of the Reed-Muller codes-Part I: Primitive codes, IEEE Trans. Information Theory IT-14 (1968), 189–199.

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