Binary sequences derived from ML-sequences over rings I: periods and minimal polynomials
Journal of Cryptology
Shift Register Sequences
On Decimations of $\ell$-Sequences
SIAM Journal on Discrete Mathematics
Design and Properties of a New Pseudorandom Generator Based on a Filtered FCSR Automaton
IEEE Transactions on Computers
Autocorrelations of Maximum Period FCSR Sequences
SIAM Journal on Discrete Mathematics
Large period nearly de Bruijn FCSR sequences
EUROCRYPT'95 Proceedings of the 14th annual international conference on Theory and application of cryptographic techniques
F-FCSR: design of a new class of stream ciphers
FSE'05 Proceedings of the 12th international conference on Fast Software Encryption
Arithmetic crosscorrelations of feedback with carry shift register sequences
IEEE Transactions on Information Theory
A lower bound on the linear span of an FCSR
IEEE Transactions on Information Theory
Partial period distribution of FCSR sequences
IEEE Transactions on Information Theory
Compression mappings on primitive sequences over Z/(pe)
IEEE Transactions on Information Theory
Further Results on the Distinctness of Decimations of -Sequences
IEEE Transactions on Information Theory
Uniqueness of the distribution of zeroes of primitive level sequences over Z/(pe) (II)
Finite Fields and Their Applications
Uniqueness of the distribution of zeroes of primitive level sequences over Z/(pe)
Finite Fields and Their Applications
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For an odd prime number p and positive integer e, let ${\underline{a}}$ be an l-sequence with connection integer pe. Goresky and Klapper conjectured that when pe∉{5,9,11,13}, all decimations of ${\underline{a}}$ are cyclically distinct. For any primitive sequence ${\underline{u}}$ of order n over ℤ/(pe), call ${\underline{u}}(\rm mod;2)$ a generalized l-sequence. In this article, we show that almost all decimations of any generalized l-sequence are also cyclically distinct.