Not Distributive Lattice Over Field of Residue Classes Modulo 5
T. Srinivasarao, V. Mallipriya · International Journal of Engineering Research and · 2020
The symmetry in algebra usually allows a undirected path between the source and sink in any discussion.So, creating a super algebra in the form of a lattice over a known algebra which does not admit associativity or commutativity or distributivity will help a directed path which has no retreat.Keeping this view point, i have created 3 not distributive lattices over different known fields which can be used in the cryptography techniques of varied approach.This is the 4 th lattice over somewhat bigger field where the lattice is constructed using the suitable definitions of disjunction and conjunction that allows the failure of distributive property and the lattice is a field extension over the residue classes modulo 5.