Algebraic Cryptography

Author(s):  
Richard Klima ◽  
Neil Sigmon ◽  
Ernest Stitzinger
2021 ◽  
Author(s):  
Mohammed Faruque Ahmed

Signature Analyzer is an analyzer which is widely used for mixed-signal system testing. But its hardware has high complexity in implementation as the application technique is a system with rules of an arithmetic finite field with arbitrary radix. It’s a challenging task. To avoid this complexity here the project is made based on Algebraic Signature Analyzer that can be used for mixed signal testing and the analyzer doesn’t contain carry propagation circuitry. It improves performance and fault tolerance. This technique is simple and applicable to systems of any size or radix. The hardware complexity is very low compared to the conventional one and can be used in arithmetic/ algebraic cryptography as well as coding


2009 ◽  
Vol 20 (6) ◽  
pp. 937-953 ◽  
Author(s):  
D. Grigoriev ◽  
A. Kojevnikov ◽  
S. J. Nikolenko

1972 ◽  
Vol 24 (3) ◽  
pp. 369-378 ◽  
Author(s):  
B. R. McDonald

A square matrix A over a commutative ring R is said to be involutory if A2 = I (identity matrix). It has been recognized for some time that involutory matrices have important applications in algebraic cryptography and the special cases where R is either a finite field or a quotient ring of the rational integers have been extensively researched. However, there has been no detailed attempt to extend the theory to all finite commutative rings. In this paper we illustrate in detail the theory of involutory matrices over finite commutative rings with 1 having odd characteristic. The method is a careful analysis of finite local rings of odd prime power characteristic. The techniques might be also used in the examination of involutory matrices over local rings of characteristic 2λ; however, as illustrated by finite fields of characteristic 2 and Z/2λZ (Z the rational integers), the arguments are basically different. The reader will note the methods are not limited to only questions on involutory matrices.


Sign in / Sign up

Export Citation Format

Share Document