On another two cryptographic identities in universal Osborn loops
Journal Title: Surveys in Mathematics and its Applications - Year 2010, Vol 5, Issue 0
Abstract
In this study, by establishing an identity for universal Osborn loops, two other identities (of degrees 4 and 6) are deduced from it and they are recognized and recommended for cryptography in a similar spirit in which the cross inverse property (of degree 2) has been used by Keedwell following the fact that it was observed that universal Osborn loops that do not have the 3-power associative property or weaker forms of; inverse property, power associativity and diassociativity to mention a few, will have cycles (even long ones). These identities are found to be cryptographic in nature for universal Osborn loops and thereby called cryptographic identities. They were also found applicable to security patterns, arrangements and networks which the CIP may not be applicable to.
Authors and Affiliations
T. Jaiyéolá , J. Adéníran
Keywords
Related Articles
- EP ID EP102532
- DOI -
- Views 145
- Downloads 0
Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations
In this paper an efficient modification of Adomian decomposition method is introduced for solving singular initial value problem in the second-order ordinary differential equations. The scheme is tested for some examples...
Neumann system and hyperelliptic al functions
This article shows that the Neumann dynamical system is described well in terms of the Weierstrass hyperelliptic al functions. The descriptions are very primitive; their proofs are provided only by residual computations...
Elliptic functions and integrals
This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as t...
Degree of approximation of functions belonging to Lipα class and weighted (L<SUP>r</SUP>,ξ(t)) class by product summability method
A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip(α,r), Lip(ξ(t),r) and W(L<SUP>r</SUP>, ξ(t)) classes using Cesàro and (generalized) Nörlund single summabilit...
Representation Theorem for Stochastic Differential Equations in Hilbert Spaces and its Applications
In this survey we recall the results obtained in [Ungureanu,Electronic Journal of Qualitative Theory of Differential Equations, 2004] where we gave a representation theorem for the solutions of stochastic differential eq...