The orbits produced by the iterations of the mapping x ? x2 + c, defined over Fq, are studied. Several upper bounds for their periods are obtained, ...

The orbits produced by the iterations of the mapping x↦ X2 + c, defined over Fq, are studied. Several upper bounds for their pe- riods are obtained, ...

Maximal Periods of x + c in Fq · AAECC-14: Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes.

Jun 18, 2024 · The orbits produced by the iterations of the mapping x ¿ x2 + c, defined over Fq, are studied. Several upper bounds for their periods are ...

Hence, a quadratic polynomial p(X) = aX2 + bX + c ∈ Fq[X] is linearly ... It follows directly from the definition of fc. Page 3. Maximal Periods of x2 + c in Fq.

The orbits produced by the iterations of the mapping x↦ X2 + c, defined over Fq, are studied. Several upper bounds for their pe- riods are obtained, ...

ask which PFLSfs have maximal ranks of apparition and maximal periods with ... i(a9 &s p) \p - 1 and p - 1 is the maximal value for \x(a9 b9 p) . a(a9. &9 p) ...

This has the solutions x = V2aiL1/2^T4b. (mod/?). Letting c ... x(7,7,p)f while the period of the other group is ... with maximal periods. If (a2 + 4) = ~1 and fi(a ...

Jun 27, 2023 · ... X defined over Fq is called Fq-maximal if the number |X(Fq)| of its Fq-rational points attains the Hasse-Weil upper bound. |X(Fq)| ≤ q +1+2g.

A sequence over Fq generated by a n-stage LFSR is called a maximal length sequence, or in short a m-sequence, if it has period qn − 1. We have the following ...