Extension of the field, generates a primitive space matrix Galois
نویسندگان
چکیده
منابع مشابه
Primitive generators for cyclic vector spaces over a Galois field
For a prime power q > 1 and an integer n ≥ 2 we consider the extension Fqn/Fq of Galois fields together with a cyclic Fq-vector space endomorphism τ . An element of Fqn is called a primitive τ-generator over Fq provided it generates the multiplicative group of Fqn , as well as the additive group of Fqn regarded as an Fq[x]-module with respect to τ . The notion of a primitive τ -generator genera...
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Let L be a degree 2 Galois extension of the field K and M an n×n matrix with coefficients in L. Let 〈 , 〉 : Ln × Ln −→ L be the sesquilinear form associated to the involution L −→ L fixing K. We use 〈 , 〉 to define the numerical range Num(M) of M (a subset of L), extending the classical case K = R, L = C and the case of a finite field introduced by Coons, Jenkins, Knowles, Luke and Rault. There...
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ژورنال
عنوان ژورنال: Ukrainian Information Security Research Journal
سال: 2015
ISSN: 2410-7840,2221-5212
DOI: 10.18372/2410-7840.17.9785