Weak and strong orders of linear recurring sequences
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DOI: 10.1007/s40314-017-0532-z
Abstract: The concept of the strong order of linear recurring sequence (LRS) is introduced in this paper. Necessary and sufficient conditions for the existence of the strong LRS order are derived. The strong LRS order is… read more here.
Keywords: order; linear recurring; lrs order; lrs ... See more keywords
Linear Recurring Sequences and Explicit Factors of x2nd−1 in ????q[x]
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DOI: 10.1142/s1005386720000462
Abstract: Let ????q be a finite field of odd characteristic containing q elements, and n be a positive integer. An important problem in finite field theory is to factorize xn − 1 into the product of… read more here.
Keywords: irreducible factors; finite field; linear recurring; explicit factors ... See more keywords