An Algebraic Construction of Quasi-Cyclic LDPC Codes Based on the Conjugates of Primitive Elements over Finite Fields

2018 ◽  
Author(s):  
Muhammad Asif ◽  
Wuyang Zhou ◽  
Juma Saidi Ally ◽  
Nauman Ali Khan ◽  
Zain ul Abiden Akhtar
Keyword(s):  
Finite Fields ◽  
Ldpc Codes ◽  
Primitive Elements ◽  
Algebraic Construction

Existence of pair of primitive elements over finite fields of characteristic 2

2018 ◽  
Vol 193 ◽  
pp. 386-394 ◽  
Author(s):  
Rajendra K. Sharma ◽  
Ambrish Awasthi ◽  
Anju Gupta
Keyword(s):  
Finite Fields ◽  
Primitive Elements ◽  
Characteristic 2

Quasi-Cyclic LDPC Codes on Cyclic Subgroups of Finite Fields

2011 ◽  
Vol 59 (9) ◽  
pp. 2330-2336 ◽  
Author(s):  
Li Zhang ◽  
Shu Lin ◽  
Khaled Abdel-Ghaffar ◽  
Zhi Ding ◽  
Bo Zhou
Keyword(s):  
Finite Fields ◽  
Ldpc Codes ◽  
Cyclic Subgroups

Quasi-Cyclic LDPC Codes: An Algebraic Construction, Rank Analysis, and Codes on Latin Squares

2010 ◽  
Vol 58 (11) ◽  
pp. 3126-3139 ◽  
Author(s):  
Li Zhang ◽  
Qin Huang ◽  
Shu Lin ◽  
Khaled Abdel-Ghaffar ◽  
Ian F. Blake
Keyword(s):  
Ldpc Codes ◽  
Latin Squares ◽  
Algebraic Construction ◽  
Rank Analysis

Pair of primitive elements with prescribed traces over finite fields

2019 ◽  
Vol 47 (3) ◽  
pp. 1278-1286 ◽  
Author(s):  
R. K. Sharma ◽  
Anju Gupta
Keyword(s):  
Finite Fields ◽  
Primitive Elements
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