论文信息 - A Generalization of Niho’s Theorem

A Generalization of Niho’s Theorem

In this note, we generalize Niho’s theorem on cross-correlation functions of binary m-sequences. Our theorem applies both to binary and non-binary sequences.

Petri Rosendahl | Petri Rosendahl

[1] T. Helleseth,et al. On Certain Equations over Finite Fields and Cross-Correlations of m-Sequences , 2004 .

[2] Tor Helleseth,et al. Some results about the cross-correlation function between two maximal linear sequences , 1976, Discret. Math..

[3] Rudolf Lide,et al. Finite fields , 1983 .

[4] Yoji Niho. Multi-Valued Cross-Correlation Functions between Two Maximal Linear Recursive Sequences , 1972 .

[5] Tor Helleseth,et al. On Niho type cross-correlation functions of m-sequences , 2007, Finite Fields Their Appl..

[6] Robert J. McEliece,et al. Weights of Irreducible Cyclic Codes , 1972, Inf. Control..

[7] Anne Canteaut,et al. Construction of bent functions via Niho power functions , 2006, J. Comb. Theory, Ser. A.

[8] Tor Helleseth,et al. New pairs of m-sequences with 4-level cross-correlation , 2005, Finite Fields Their Appl..

[9] R. McEliece. Finite Fields for Computer Scientists and Engineers , 1986 .

[10] Hans Dobbertin,et al. One-to-One Highly Nonlinear Power Functions on GF(2n) , 1998, Applicable Algebra in Engineering, Communication and Computing.

[11] Pascale Charpin,et al. Cyclic codes with few weights and Niho exponents , 2004, J. Comb. Theory, Ser. A.

[12] R. McEliece. Finite field for scientists and engineers , 1987 .