New Soft Set Based Class of Linear Algebraic Codes

作者：Ali, Mumtaz; Khan, Huma; Le Hoang Son^*; Smarandache, Florentin; Kandasamy, W. B. Vasantha

来源：Symmetry-Basel, 2018, 10(10): 510.

DOI：10.3390/sym10100510

• linear algebraic code
• soft set theory
• soft linear algebraic code
• soft communication
• soft syndrome
• soft codewords
• soft generator matrix

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.

• 出版日期2018-10