Let F be a field of nonzero characteristic, with its algebraic closure, F. For positive integers a, b, let J(a, b) be the set of integers k, such that (x - 1)k is the minimal polynomial of the termwise product of linear recurring sequences sigma and tau in F ($) over bar, with minimal polynomials (x - 1)(a) and (x - 1)(b) respectively. This set plays a crucial role in the determination of the product of linear recurring sequences with arbitrary minimal polynomials. Here, we give an explicit formula to determine some of the elements of J(a, b), in the case of characteristic 2. We also give some clues for the extension to arbitrary characteristic. The method given here has produced a family of matrices which are themselves interesting
AbstractLet K be a Galois field and ƒ(D) = Dk − ak−1Dsuk−1− ⋯ minus;a0 be a monic polynomial over K,...
AbstractFor α ϵ Fq the finite field of order q and β ϵ Fq(α.), let Fq(α, β) = Fq(γ). We obtain an ex...
In this dissertation, I discuss bounds for the set of possible number of zeros of a homogeneous line...
AbstractBy using the techniques given by R. Güttfert and H. Niederreiter (Finite Fields Appl.1(1995)...
AbstractBy using the techniques given by R. Güttfert and H. Niederreiter (Finite Fields Appl.1(1995)...
AbstractThe determination of the minimal polynomial, and thus of the linear complexity, of the produ...
AbstractThe determination of the minimal polynomial, and thus of the linear complexity, of the produ...
AbstractWe exploit a connection between decimations and products to deduce the generating polynomial...
AbstractLet L(f) denote the space of all sequences of elements of a field F generated by the linear ...
AbstractWe exploit a connection between decimations and products to deduce the generating polynomial...
This thesis deals with fundamental concepts of linear recurring sequences over the finite fields. Th...
AbstractLet L(f) denote the space of all sequences of elements of a field F generated by the linear ...
AbstractLet S=(s1,s2,…,sm,…) be a linear recurring sequence with terms in GF(qn) and T be a linear t...
In linear algebra, the minimal polynomial of an n-by-n matrix A over a field F is the monic polynomi...
In linear algebra, the minimal polynomial of an n-by-n matrix A over a field F is the monic polynomi...
AbstractLet K be a Galois field and ƒ(D) = Dk − ak−1Dsuk−1− ⋯ minus;a0 be a monic polynomial over K,...
AbstractFor α ϵ Fq the finite field of order q and β ϵ Fq(α.), let Fq(α, β) = Fq(γ). We obtain an ex...
In this dissertation, I discuss bounds for the set of possible number of zeros of a homogeneous line...
AbstractBy using the techniques given by R. Güttfert and H. Niederreiter (Finite Fields Appl.1(1995)...
AbstractBy using the techniques given by R. Güttfert and H. Niederreiter (Finite Fields Appl.1(1995)...
AbstractThe determination of the minimal polynomial, and thus of the linear complexity, of the produ...
AbstractThe determination of the minimal polynomial, and thus of the linear complexity, of the produ...
AbstractWe exploit a connection between decimations and products to deduce the generating polynomial...
AbstractLet L(f) denote the space of all sequences of elements of a field F generated by the linear ...
AbstractWe exploit a connection between decimations and products to deduce the generating polynomial...
This thesis deals with fundamental concepts of linear recurring sequences over the finite fields. Th...
AbstractLet L(f) denote the space of all sequences of elements of a field F generated by the linear ...
AbstractLet S=(s1,s2,…,sm,…) be a linear recurring sequence with terms in GF(qn) and T be a linear t...
In linear algebra, the minimal polynomial of an n-by-n matrix A over a field F is the monic polynomi...
In linear algebra, the minimal polynomial of an n-by-n matrix A over a field F is the monic polynomi...
AbstractLet K be a Galois field and ƒ(D) = Dk − ak−1Dsuk−1− ⋯ minus;a0 be a monic polynomial over K,...
AbstractFor α ϵ Fq the finite field of order q and β ϵ Fq(α.), let Fq(α, β) = Fq(γ). We obtain an ex...
In this dissertation, I discuss bounds for the set of possible number of zeros of a homogeneous line...