For a different presentation of finite fields of characteristic 2, the reader could consult Golomb [2]. Finite field arithmetic in characteristic 2 is used in the Advanced Encryption Standard (AES). It can be preferable in other cryptosystems, because computer hardware works in binary, and thus ...
An additive fast Fourier transform over a finite field of characteristic two efficiently evaluates polynomials at every element of an $\mathbb{F}_2$-linear subspace of the field. We view these transforms as performing a change of basis from the monomial basis to the associated Lagrange basis, ...
have characteristic 0. For aprime, thefinite fieldGF( ) has characteristic . If is asubfieldof , then and have the same characteristic. SEE ALSO Characteristic,Field,Field Characteristic Exponent,Finite Field,Subfield
Let k be a global field of characteristic p. A finite group G is called k-admissible if there exists a division algebra finite dimensional and central over k which is a crossed product for G. Let G be a finite group with normal Sylow p-subgroup P. If the factor group GP is k-admiss...
We prove the following result related to the inverse problem for universal deformation rings of group representations: Given a finite field k, denote by W(k) the ring of Witt vectors over k and by K the field of fractions of W(k). If a complete noetherian local ring R is a universal ...
On the isomorphism classes of Legendre elliptic curves over finite fields In this paper,the number of isomorphism classes of Legendre elliptic curves over finite field is enumerated. WU Hongfeng,RQ Feng - 《Science China Mathematics》 被引量: 23发表: 2011年 ...
1. This paper presents a construction of Cartesian authentication codes from non-alternate symmetric matrices over finite fields of characteristic 2 and the parameters of the code are computed. 利用特征为2的有限域上非交错对称矩阵构造了一个Cartesian认证码,并计算出其参数。
The interest for relational subhyperfields is motivated by the fact that they correspond to the submodels of hyperfields in a natural first-order language, which we describe in Section 3. The notion of this characteristic is fundamental in classical field theory and, when it is finite, it ...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook Lyapunov exponent (redirected fromCharacteristic exponents) Lyapunov exponent [li·pu̇′nȯf ik‚spō·nənt] (physics) One of a number of coefficients that describe the rates at which nearby trajectories...
Conjugacy of Odd order Hall Subgroups If G is a finite simple group, the author defines an ordering > G on the set of odd prime divisors of |G| as follows. Let p, q be odd primes in π (G). If G is a Chevalley group over a field of characteristic p, then p> G q. If neit...