General Mathematics


A New Approach to Algebraic Coding Theory Through the Applications of Soft Sets

Authors: Mumtaz Ali, Florentin Smarandache

Algebraic codes play a signicant role in the minimisation of data corruption which caused by de⁄ects 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 constrcut the soft generator matrix and soft parity check matrix for the soft linear codes. Moreover, we develop two techinques for the decoding of soft codes.

Comments: 12 Pages.

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Submission history

[v1] 2017-01-10 07:47:02

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