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Chapter and Conference Paper
Pseudo-Randomness of Discrete-Log Sequences from Elliptic Curves
We investigate an upper bound on the discrepancy and a lower bound on the linear complexity of a class of sequences, derived from elliptic curves by using discrete logarithm in this paper. The results indicate...
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Chapter and Conference Paper
Some Notes on d-Form Functions with Difference-Balanced Property
The relation between a cyclic relative difference set and a cyclic difference set is considered. Both the sets are with Singer parameters and can be constructed from a difference-balanced d-form function. Althoug...
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Chapter and Conference Paper
Construction of Pseudo-random Binary Sequences from Elliptic Curves by Using Discrete Logarithm
An upper bound is established for certain exponential sums with respect to multiplicative characters defined on the rational points of an elliptic curve over a prime field. The bound is applied to investigate ...
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Chapter and Conference Paper
A Fast Algorithm for Determining the Linear Complexity of Periodic Sequences
An efficient algorithm for determining the linear complexity and the minimal polynomial of sequence with period p m q ...
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Chapter and Conference Paper
Fast Algorithms for Determining the Linear Complexity of Period Sequences
We introduce a fast algorithm for determining the linear complexity and the minimal polynomial of a sequence with period p n over GF(q) , where p is an odd prime, q is a prime and a primit...