Recursive Solution to a Type of Finite Field Matrix Equation and its Application in Information Security

Shen Hai Yan; Xian Tong Huang

doi:10.4028/www.scientific.net/AMR.846-847.934

Paper Titles

Coverage Optimization of Hybrid Wireless Sensor Networks Based on Modified Particle Swarm Algorithm
p.914

Application Situation of Distributed Optical Fiber Temperature Measurement Technology in Power System
p.918

Improved BP Decoding Algorithm for LDPC Codes
p.925

Blind Images Separation Based on Sparse Independent Component Analysis
p.929

Recursive Solution to a Type of Finite Field Matrix Equation and its Application in Information Security
p.934

Sparse Recovery Based on Squarewave-Like Sum Function Minimization
p.939

EEG-Based Motor Imagery Feature Extraction
p.944

Comparison of the Image Encryption Effects Based on Different Unary Polynomial Transformation Chaos
p.948

Research on the Signal Encrypted by Unary Polynomial Transformation Chaos
p.952

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 846-847Recursive Solution to a Type of Finite Field...

Recursive Solution to a Type of Finite Field Matrix Equation and its Application in Information Security

Abstract:

On the question of solving lower triangular matrices or symmetric matrix by a type of matrix equation, we obtain the necessary and sufficient conditions for its only solution and design a recursive algorithm to compute the solution. With finite domain multiplicative inverse technology and Differ-Hellman protocol, a new cryptosystem is designed based on finite fields matrix equations. Numerical experiments demonstrate the correctness of the new cryptosystem and feasibility.