Author : Mohanesh B M 1
Date of Publication :24th January 2018
Abstract: The objective of the study is to look into a new method to generate an intermediate key for a symmetric key given in DES encryption algorithm. Using the concept of Mathematical Logic and Logical Equivalence an intermediate key is generated. An intermediate key used at the sender and the receiver side.There are two equations used one on the sender side and another on the receiver side both giving the same intermediate key. Mathematical logic is the science dealing with the methods of reasoning; these are the statements that are called propositions. Propositions are the statement which in a given context said to be true or false.These propositions are connected by the logical connectives and they are “notâ€, “andâ€, “orâ€, “if thenâ€, “if and only ifâ€. The propositions formed using these logical connectives is called compound propositions. Two propositions u and v are said to be logically equivalent whenever u and v have the same truth value. This is denoted by uâ‡â‡’v and it’s represented as u and v are logically equivalent. During the generation of the intermediate key, u is used at the sender side and v is used at the receiver end to provide the same intermediate key.This paper proposes a new method for generating an intermediate key for DES algorithm.
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