Polynomial Generator From Roots Lesson Summary FAQs Activities How do you solve polynomial equations? Polynomial equations are solved by setting the function equal to 0. Then the values of x that make this true are calculated by guessing, factoring. using the quadratic formula, or rational zeroe...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook polynomial equation [¦päl·ə¦nō·mē·əl i′kwā·zhən] (mathematics) An equation in which a polynomial in one or more variables is set equal to zero. ...
The 'Representation of Polynomial' refers to a unique way of expressing Boolean and vectorial functions as univariate polynomials over a field, where each function can be represented by a polynomial form of degree not exceeding 2n - 1.
When the given rank distance BCH code is maximum rank distance BCH code, the condition that roots of generator polynomial must satisfy was discussed in that paper. 本文作者在“关于秩距离BCH码的校验矩阵及其秩距离”一文中提出了秩距离BCH码的概念,讨论了所给秩距离BCH码为最大秩距离BCH码时,码的生...
#include <CGAL/Polynomial_type_generator.h> int main(){ CGAL::set_pretty_mode(std::cout); typedefCGAL::Polynomial_type_generator<int,2>::TypePoly_2; typedefCGAL::Polynomial_traits_d<Poly_2>PT_2; typedef PT_2::Coefficient_type Poly_1; ...
returns the image, in a finite field G, of the polynomial generator of a finite field F with the same cardinality as G. '''c, w = cputime(), walltime() R = PolynomialRing(GF(p),'X')# If no polynomials are given, we compute both of them randoml...
A condition is proven on the roots of the generator polynomial of a q-ary cyclic code of block length n which guarantees full cyclic order for all nonzero codewords. For such cyclic codes having n = qm –1, a theorem is proven which allows to partition the set of all nonzero code...
If roots of the generator polynomial g(X) of the RS code are 2T consecutive powers of alpha as in Eq. (1), T being a predetermined positive integer, as many as T errors can be corrected: "Eq. (1)" g(X) = i=12T(X- alpha ) wherein alpha is a primitive element in a finite ...
(Digression: in Group Theory, the equivalence class of gg in ZpZp is a generator of Z∗pZp∗) E.g For P=7P=7 and for all positive integers <P<P, we calculate the possibilities of their powers. 1-> {1} 2-> {1,2,4} 3-> {1,2,3,4,5,6} 4-> {1,2,4} 5-> {1,...
Fast and reliable pseudo-random number generator (PRNG) is required for simulation and other applications in scientific computing. In this work, a polynomial PRNG algorithm, based on a linear feedback shift register (LFSR) is presented. LFSR generator of order k determines a 2 k 1 cyclic seque...