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Orthogonal Latin Square Codes

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3 Author(s)
Hsiao, M.Y. ; Systems Development Division Laboratory in Poughkeepsie, New York, USA ; Bossen, D.C. ; Chien, R.T.

A new class of multiple-error correcting codes has been developed. Since it belongs to the class of one-step-decodable majority codes, it can be decoded at an exceptionally high speed. This class of codes is derived from a set of mutually orthogonal Latin squares. This mutually orthogonal property provides a class of codes having a unique feature of “modularity.” The parity check matrix possesses a uniform pattern and results in a small number of inputs to modulo 2 adders. This class of codes has m2 data bits, where m is an integer, and 2tm check bits for t-error correcting.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:14 ,  Issue: 4 )

Date of Publication:

July 1970

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