An Investigation of Quaternary [5,3] Error Correcting Codes and their Implementation with Binary Devices

A.K.M. Toyarak Rian, Partha Pratim Dey, Farzana Karim Elora


In this paper we investigate the existence, equivalence and some other features of quaternary error correcting codes. We also discuss the binary hardware devices that could be used to code and decode messages when these error correcting codes are used.


Linear code; Generator matrix; Equivalent code; Gates

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V. Pless, Introduction to the Theory of Error Correcting Codes, Wiley Student Edition, John Wiley & Sons (Asia) Pte. Ltd., Singapore, (2003).

R. Hill, A First Course in Coding Theory, The Oxford University Press, Oxford, UK, (1986).

W.C. Huffman and V. Pless, Fundamentals of Error Correcting Codes, Cambridge University Press, New York, (2003).


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