Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to analyse ...

Our research group has discovered a new technique for compressing the computations of encryption and decryption operations known as Galois field arithmetic operations, and has succeeded in developing ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 17, No. 2 (Feb. 15, 1931), pp. 120-122 (3 pages) ...

A technique for compressing the computations of encryption and decryption operations, known as Galois field arithmetic operations, has been developed by a team from Tohoku University. With this ...

In this article, we introduce the abstract notion of Galois wavelet groups over finite fields as the finite group of Galois dilations, and translations. We then present a unified theoretical linear ...

means that the level of factor F is computed by adding the levels of B and D and two times the levels of C and E, all modulo 3. Note that if q is not a prime number, Galois field arithmetic is not ...