منابع مشابه
On cyclotomic schemes over finite near-fields
We introduce a concept of cyclotomic association scheme over a finite near-field K. It is proved that any isomorphism of two such nontrivial schemes is induced by a suitable element of the group AGL(V ), where V is the linear space associated with K. A sufficient condition on a cyclotomic scheme C that guarantee the inclusion Aut(C)≤ A L(1,F), where F is a finite field with |K| elements, is given.
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Homomorphic encryption scheme enables computation in the encrypted domain, which is of great importance because of its wide and growing range of applications. The main issue with the known fully (or partially) homomorphic encryption schemes is the high computational complexity and large communication cost required for their execution. In this work, we study symmetric partially homomorphic encry...
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We investigate the structure of incidence rings of group automata over finite fields. One of the major tools used in research on the structure of ring constructions is the Jacobson radical. Our main theorem gives a complete description of the Jacobson radicals of incidence rings of (possibly nondeterministic) group automata over finite fields in the important special case where the input group ...
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It is shown that the invertible polynomial maps over a finite field Fq, if looked at as bijections Fq −→ Fq , give all possible bijections in case q = 2, or q = p where p > 2. In case q = 2 where r > 1 it is shown that the tame subgroup of the invertible polynomial maps give only the even bijections, i.e. only half the bijections. As a consequence it is shown that a set S ⊂ Fq can be a zero set...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.2307/2038051