Linear Feedback Shift Registers (LFSR) are tools commonly used in cryptography in many contexts, for example as pseudo-random numbers generators. In this paper we characterize LFSR with certain symmetry properties. Related to this question we also classify polynomials f satisfying the property that if α is a root of f then f (α deg f) = 0. The classification heavily depends on the choice of the fields of coefficients of the polynomial; we consider the cases (Figure presented.) and K = ℚ.
Capuano, L., Di Scala, A.J. (2021). A note on cyclotomic polynomials and Linear Feedback Shift Registers. QUAESTIONES MATHEMATICAE, 1-13 [10.2989/16073606.2021.1967504].
A note on cyclotomic polynomials and Linear Feedback Shift Registers
Capuano L.;
2021-01-01
Abstract
Linear Feedback Shift Registers (LFSR) are tools commonly used in cryptography in many contexts, for example as pseudo-random numbers generators. In this paper we characterize LFSR with certain symmetry properties. Related to this question we also classify polynomials f satisfying the property that if α is a root of f then f (α deg f) = 0. The classification heavily depends on the choice of the fields of coefficients of the polynomial; we consider the cases (Figure presented.) and K = ℚ.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
