Generalizing binary quadratic residue codes to higher power residues over larger fields

Finite Fields and Their Applications - Tập 15 - Trang 404-413 - 2009
P. Charters1
1Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, TX 78712, United States

Tài liệu tham khảo

Berlekamp, 1968 Helleseth, 1992, Legendre sums and codes related to QR codes, Discrete Appl. Math., 35, 107, 10.1016/0166-218X(92)90035-9 Helleseth, 2005, Double circulant quadratic residue codes, IEEE Trans. Inform. Theory, 50, 2154, 10.1109/TIT.2004.833371 MacWilliams, 1977 Semyonovykh, 2005, A generalization of quadratic residue codes to the case of cubic and biquadratic residues, Discrete Math. Appl., 15, 573, 10.1515/156939205774939371