On Decoding Algebraic Codes Using Radical Locators

2020 ◽  
Vol 66 (11) ◽  
pp. 6835-6854
Author(s):  
Tsung-Ching Lin ◽  
Chong-Dao Lee ◽  
Trieu-Kien Truong ◽  
Yaotsu Chang ◽  
Yan-Haw Chen
Keyword(s):  
Algebraic Codes

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.

Fast CELP coding based on algebraic codes

2005 ◽  
Author(s):  
J.-P. Adoul ◽  
P. Mabilleau ◽  
M. Delprat ◽  
S. Morissette
Keyword(s):  
Algebraic Codes

Algebraic codes for network coding

2009 ◽  
Vol 45 (4) ◽  
pp. 343-356 ◽  
Author(s):  
E. M. Gabidulin ◽  
M. Bossert
Keyword(s):  
Network Coding ◽  
Algebraic Codes
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