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Constructions of Sequences with Almost Perfect Linear Complexity Profile from Curves over Finite Fields

โœ Scribed by Chaoping Xing; Harald Niederreiter; Kwok Yan Lam; Cunsheng Ding


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
118 KB
Volume
5
Category
Article
ISSN
1071-5797

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โœฆ Synopsis


Sequences with almost perfect linear complexity pro"le are of importance for the linear complexity theory of sequences. In this paper we present several constructions of sequences with almost perfect linear complexity pro"le based on algebraic curves over "nite "elds. Moreover, some interesting consequences and examples are derived from our constructions.


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Explicit Constructions of Perfect Hash F
โœ Huaxiong Wang; Chaoping Xing ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

Let A be a set of order n and B be a set of order m. An (n, m, w)-perfect hash family is a set H of functions from A to B such that for any X A with |X |=w, there exists an element h # H such that h is one-to-one when restricted to X. Perfect hash families have many applications to computer science,