### TESSERACT ENCRYPTION ALGORITHM USING LATIN SQUARE OF ORDER 8 (TEA-O8)

#### Abstract

In this paper, we investigate the possibility of extending Latin Square of Order 4 in Hybrid Cube Encryption Algorithm (HiSea) and Three-Dimensional Hybrid Cubes Encryption (3D-HiSea) algorithm using Latin square of order 8. The objective of this research is to investigate the security improvement of key provided in current algorithm using Four-Dimensional (4D) concept. Entries of Latin square of order 8 are used as a method extended to form a 4D Hybrid Cubes or Tesseract (TEA-08). The existence of 108 quintillion LS of order 8 (LS8) open up new possibilities for increasing possible key space for 3D-HiSea. New tesseract structure based on 8 3D-Hybrid Cube has been successfully implemented using LS order 8. Master Key generated from HiSea, 3D HiSea and Tesseract is used to study its security analysis using Entropy Test. Next, Frequency, Block Frequency and Run Test analysis is perform using NIST Testing Tool to investigate the security of ciphertext produced. The results show that entropy for TEA-08 master key is 0.9961 more closer to 1. Furthermore, ciphertext security analysis resultant the P-Value of Frequency is 0.328363, Block Frequency is 0.488475 and Run Test is 0.457713 which greater than 0.01 prove that algorithm proposed are random. Thus, based on the findings TEA-O8 it can be concluded that the key and ciphertext generated is random and can be evaluated further to include other security analysis testing tool and method which suitable for non-binary block cipher.

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DOI: http://dx.doi.org/10.6084/ijact.v9i4.1155

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