Group polynomials over rings
AbstractWe consider polynomials over rings such that the polynomials represent Latin squares and define a group operation over the ring. We introduce the notion of a group polynomial, describe a number of properties of these polynomials and the groups generated. For the case of residue rings$\mathbb{Z}_{r^n},$where r is a prime number, we give a description of groups specified by polynomials and identify a class of group polynomials that can be used to construct controlled cryptographic transformations.
Keyword(s):
Keyword(s):
Keyword(s):
2020 ◽
Vol 0
(0)
◽
Keyword(s):
2021 ◽
Vol 1818
(1)
◽
pp. 012081