Number Theoretic Model of Concurrent Access in Hypercube Interconnection Network

This paper proposes a mathematical logical model to use shared communication links in the hypercube interconnection network. To achieve our objective we have used the orthogonal property of binary coding used to label the processing nodes of the hypercube and applied binary coding based multiplexing technique and the XOR logic operation to separate the individual processing nodes data from the multiplexed signal. Keywords: Gray codes, Hypercube, 1’s complement logic, GIG codes, bipolar codes, orthogonal codes, Normalized inner product, Parallel computing System.

Efficient Chaos-Based Substitution-Box and Its Application to Image Encryption

Chaotic systems are vital in designing contemporary cryptographic systems. This study proposes an innovative method for constructing an effective substitution box using a 3-dimensional chaotic map. Moreover, bouyed by the efficiency of the proposed chaos-based substitution boxes’ effectiveness, we introduce a new chaos-based image cryptosystem that combines the adeptness of Gray codes, a non-linear and sensitive hyper-chaotic system, and the proposed S-box. The generated secret key emanating from the cryptosystem is correlated to the input image to produce a unique key for each image. Extensive experimental outcomes demonstrate the utility, effectiveness, and high performance of the resulting cryptosystem.