Abstract

CUELLAR JUSTIZ, Oristela et al. Algorithms for determination of the immersion homomorphisms of Galois Fields.. Rev cuba cienc informat [online]. 2018, vol.12, suppl.1, pp.58-70. ISSN 2227-1899.

Homomorphisms between algebraic structures are very useful in both mathematics and computer science. In particular, homomorphisms between Galois Fields are used in Cryptography, in the called homomorphic encryption schemes Zhang and Yue (2013), and in coding theory, for example, in the so-called local decoding Grigorescu et˜al. (2006). So it may be necessary to know what functions are homomorphisms between Galois Fields. In this work an algorithm for determining embedding homomorphisms between the GF (pn) and GF (pm) fields is proposed, when n | m.

Keywords : Homomorphisms; Immersion; Galois Fields.

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