Stopping Set Elimination by Parity-Check Matrix Extension via Integer Linear Programming

2015 ◽  
Vol 63 (5) ◽  
pp. 1533-1540 ◽  
Author(s):  
Hossein Falsafain ◽  
Sayyed Rasoul Mousavi
Keyword(s):  
Linear Programming ◽  
Integer Linear Programming ◽  
Parity Check ◽  
Parity Check Matrix ◽  
Stopping Set ◽  
Check Matrix ◽  
Matrix Extension

Parity-Check Matrix Extension to Lower the Error Floors of Irregular LDPC Codes

2011 ◽  
Vol E94-B (6) ◽  
pp. 1725-1727
Author(s):  
Jianjun MU ◽  
Xiaopeng JIAO ◽  
Jianguang LIU ◽  
Rong SUN
Keyword(s):  
Ldpc Codes ◽  
Parity Check ◽  
Parity Check Matrix ◽  
Check Matrix ◽  
Irregular Ldpc Codes ◽  
Error Floors ◽  
Matrix Extension

BCK-codes Based on a Parity Check Matrix

2020 ◽  
Vol 174 (2) ◽  
pp. 137-165
Author(s):  
Nazanin Keshavarzian ◽  
Arsham Borumand Saeid ◽  
Abolfazl Tehranian
Keyword(s):  
Parity Check ◽  
Parity Check Matrix ◽  
Check Matrix

scholarly journals New Soft Set Based Class of Linear Algebraic Codes

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 510 ◽  
Author(s):  
Mumtaz Ali ◽  
Huma Khan ◽  
Le Son ◽  
Florentin Smarandache ◽  
W. Kandasamy
Keyword(s):  
Error Detection ◽  
Parity Check ◽  
Generator Matrix ◽  
Parity Check Matrix ◽  
Soft Sets ◽  
New Class ◽  
Error Detection And Correction ◽  
Check Matrix ◽  
Algebraic Codes ◽  
Canonical Generator

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.

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