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|Title:||Periodic sequences with maximal linear complexity and almost maximal k-rrror linear complexity|
|Authors:||Niederreiter, H. |
|Source:||Niederreiter, H.,Shparlinski, I.E. (2003). Periodic sequences with maximal linear complexity and almost maximal k-rrror linear complexity. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2898 : 183-189. ScholarBank@NUS Repository.|
|Abstract:||C. Ding, W. Shan and G. Xiao conjectured a certain kind of trade-off between the linear complexity and the k-error linear complexity of periodic sequences over a finite field. This conjecture has recently been disproved by the first author, by showing that for infinitely many period lengths N and some values of k both complexities may take very large values (contradicting the above conjecture). Here we use some recent achievements of analytic number theory to extend the class of period lengths N and the number of admissible errors k for which this conjecture fails for rather large values of k. We also discuss the relevance of this result for stream ciphers. © Springer-Verlag Berlin Heidelberg 2003.|
|Source Title:||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|Appears in Collections:||Staff Publications|
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