New Soft Set Based Class of Linear Algebraic Codes
Article
Article Title | New Soft Set Based Class of Linear Algebraic Codes |
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ERA Journal ID | 211403 |
Article Category | Article |
Authors | Ali, Mumtaz (Author), Khan, Huma (Author), Son, Le Hoang (Author), Smarandache, Florentin (Author) and Kandasamy, W. B. Vasantha (Author) |
Journal Title | Symmetry |
Journal Citation | 10 (10), pp. 1-10 |
Article Number | 510 |
Number of Pages | 10 |
Year | 2018 |
Place of Publication | Switzerland |
ISSN | 2073-8994 |
Digital Object Identifier (DOI) | https://doi.org/10.3390/sym10100510 |
Web Address (URL) | https://www.mdpi.com/2073-8994/10/10/510 |
Abstract | In this paper, we design and develop a new class of linear algebraic codes defined as soft linear algebraic codes using soft sets. The advantage of using these codes is that they have the ability to transmit m-distinct messages to m-set of receivers simultaneously. The methods of generating and decoding these new classes of soft linear algebraic codes have been developed. The notion of soft canonical generator matrix, soft canonical parity check matrix, and soft syndrome are defined to aid in construction and decoding of these codes. Error detection and correction of these codes are developed and illustrated by an example. |
Keywords | linear algebraic code; soft set theory; soft linear algebraic code; soft communication; soft syndrome; soft codewords; soft generator matrix |
ANZSRC Field of Research 2020 | 460912. Knowledge and information management |
490199. Applied mathematics not elsewhere classified | |
Byline Affiliations | School of Agricultural, Computational and Environmental Sciences |
University of Management and Technology, Pakistan | |
Ton Duc Thang University, Vietnam | |
University of New Mexico, United States | |
Vellore Institute of Technology, India | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q5047/new-soft-set-based-class-of-linear-algebraic-codes
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