论文信息 - An Upper Bound for the Extended Kloosterman Sums over Galois Rings - 字舞流文

An Upper Bound for the Extended Kloosterman Sums over Galois Rings

An upper bound for the extended Kloosterman sum over Galois rings is derived. This bound is then used to construct new sequence families with low correlation properties and alphabet size a power of a prime.

Tor Helleseth | A. G. Shanbhag | P. Vijay Kumar | P. V. Kumar | T. Helleseth | A. Shanbhag | P. V. Kumar

[1] P. Vijay Kumar,et al. 4-phase Sequences with Near-optimum Correlation Properties , 1992, IEEE Trans. Inf. Theory.

[2] Laurence B. Milstein,et al. Spread-Spectrum Communications , 1983 .

[3] P Shankar. On BCH codes over arbitrary integer rings , 1979 .

[4] Priti Shankar. On BCH codes over arbitrary integer tings (Corresp.) , 1979, IEEE Trans. Inf. Theory.

[5] M.B. Pursley,et al. Crosscorrelation properties of pseudorandom and related sequences , 1980, Proceedings of the IEEE.

[6] Patrick Solé,et al. A quaternary cyclic code, and a family of quadriphase sequences with low correlation properties , 1989, Coding Theory and Applications.

[7] B. R. McDonald. Finite Rings With Identity , 1974 .

[8] N. Jacobson. Lectures In Abstract Algebra , 1951 .

[9] Henning Stichtenoth,et al. Algebraic function fields and codes , 1993, Universitext.

[10] A. Robert Calderbank,et al. An upper bound for Weft exponential sums over Galois tings and applications , 1994, IEEE Trans. Inf. Theory.

[11] Tor Helleseth,et al. Improved binary codes and sequence families from Z4-linear codes , 1996, IEEE Trans. Inf. Theory.

[12] N. J. A. Sloane,et al. The Z4-linearity of Kerdock, Preparata, Goethals, and related codes , 1994, IEEE Trans. Inf. Theory.

[13] Robert A. Liebler,et al. Certain distance-regular digraphs and related rings of characteristic 4 , 1988, J. Comb. Theory, Ser. A.