论文信息 - Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences

Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some q-ary sequences

An upper bound for a hybrid exponential sum over Galois rings is derived. This bound is then used to obtain an upper bound for the maximum aperiodic correlation of some sequence families over Galois rings. The bound is of the order of /spl radic/qlnq where q-1 is the period of the sequences.

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

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

[3] Dilip V. Sarwate. An upper bound on the aperiodic autocorrelation function for a maximal-length sequence , 1984, IEEE Trans. Inf. Theory.

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

[5] I. Vinogradov,et al. Elements of number theory , 1954 .

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

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

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

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

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

[11] Jyrki Lahtonen,et al. On the odd and the aperiodic correlation properties of the Kasami sequences , 1995, IEEE Trans. Inf. Theory.

[12] A. Nechaev,et al. Kerdock code in a cyclic form , 1989 .

[13] Robert J. McEliece. Correlation Properties of Sets of Sequences Derived from Irreducible Cyclic Codes , 1980, Inf. Control..