On the linear complexity of products of shift-register sequences

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Abstract

In the theory of stream ciphers the termwise product of shift-register sequences plays a crucial role. In this paper we improve and generalize earlier results on the linear complexity of a termwise product of two shift-register sequences and we also provide information on the minimal polynomial of such a product.

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Göttfert, R., & Niederreiter, H. (1994). On the linear complexity of products of shift-register sequences. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 765 LNCS, pp. 151–158). Springer Verlag. https://doi.org/10.1007/3-540-48285-7_13

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