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|Title:||Sequences with almost perfect linear complexity profiles and curves over finite fields|
|Authors:||Xing, C. |
|Source:||Xing, C., Lam, K.Y. (1999). Sequences with almost perfect linear complexity profiles and curves over finite fields. IEEE Transactions on Information Theory 45 (4) : 1267-1270. ScholarBank@NUS Repository. https://doi.org/10.1109/18.761282|
|Abstract:||For stream ciphers, we need to generate pseudorandom sequences which are of properties of unpredictability and randomness. A important measure of unpredictability and randomness is the linear complexity profile (l.c.p.) l a(n) of a sequence a. A sequence a is called almost perfect if the l.c.p. is l a(n) = n/2+O(1). Based on curves over finite fields, we present in this correspondence a method to construct almost perfect sequences. We also illustrate our construction by explicit examples from the projective line and elliptic curves over the binary field.|
|Source Title:||IEEE Transactions on Information Theory|
|Appears in Collections:||Staff Publications|
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