Algebraic codes play a signifcant role in the minimisation of data corruption which caused by defects such as inference, noise channel, crosstalk, and packet loss. In this paper, we introduce soft codes (soft linear codes) through the application of soft sets which is an approximated collection of codes. We also discuss several types of soft codes such as type-1 soft codes, complete soft codes etc. Further, we construct the soft generator matrix and soft parity check matrix for the soft linear codes. Moreover, we develop two techniques for the decoding of soft codes.
Algebraic codes, soft set, soft linear code
Smarandache, Florentin and Mumtaz Ali. "A NEW APPROACH TO ALGEBRAIC CODING THEORY THROUGH THE APPLICATIONS OF SOFT SETS." - (2011): 1-12. https://digitalrepository.unm.edu/math_fsp/368
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