Construction of type-II QC-LDPC codes with fast encoding based on perfect cyclic difference sets

2017 ◽  
Vol 13 (5) ◽  
pp. 358-362 ◽  
Author(s):  
Ling-xiang Li ◽  
Hai-bing Li ◽  
Ji-bi Li ◽  
Hua Jiang
Keyword(s):  
Ldpc Codes ◽  
Difference Sets ◽  
Type Ii ◽  
Fast Encoding ◽  
Cyclic Difference Sets

scholarly journals Gauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets

1999 ◽  
Vol 87 (1) ◽  
pp. 74-119 ◽  
Author(s):  
Ronald Evans ◽  
Henk D.L. Hollmann ◽  
Christian Krattenthaler ◽  
Qing Xiang
Keyword(s):  
Difference Sets ◽  
Gauss Sums ◽  
Cyclic Difference Sets ◽  
Jacobi Sums

scholarly journals On circulant codes with prescribed distances

1977 ◽  
Vol 16 (3) ◽  
pp. 361-369
Author(s):  
M. Deza ◽  
Peter Eades
Keyword(s):  
Sufficient Conditions ◽  
Difference Sets ◽  
Necessary And Sufficient Conditions ◽  
Necessary Condition ◽  
Weighing Matrices ◽  
Cyclic Difference Sets ◽  
The Matrix ◽  
Circulant Codes ◽  
Necessary And Sufficient ◽  
Square Matrix

Necessary and sufficient conditions are given for a square matrix to te the matrix of distances of a circulant code. These conditions are used to obtain some inequalities for cyclic difference sets, and a necessary condition for the existence of circulant weighing matrices.

Construction of Type-II QC LDPC Codes Based on Perfect Cyclic Difference Set

2015 ◽  
Vol 24 (1) ◽  
pp. 146-151 ◽  
Author(s):  
Lijun Zhang ◽  
Bing Li ◽  
Leelung Cheng
Keyword(s):  
Ldpc Codes ◽  
Difference Set ◽  
Type Ii ◽  
Cyclic Difference Set

scholarly journals Exhaustive determination of (1023,~511,~255)-cyclic difference sets

2000 ◽  
Vol 70 (233) ◽  
pp. 357-367 ◽  
Author(s):  
Peter Gaal ◽  
Solomon W. Golomb
Keyword(s):  
Difference Sets ◽  
Cyclic Difference Sets

scholarly journals Type-II QC-LDPC Codes From Multiplicative Subgroup of Prime Field

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 142459-142467
Author(s):  
Guohua Zhang ◽  
Yulin Hu ◽  
Defeng Ren ◽  
Yuanhua Liu ◽  
Yang Yang
Keyword(s):  
Ldpc Codes ◽  
Type Ii ◽  
Prime Field ◽  
Multiplicative Subgroup

A Novel Scheme for Type-II Hybrid ARQ Protocols Using LDPC Codes

2007 ◽  
Author(s):  
Liang Chen ◽  
Xiumin Shi ◽  
Shijun Yan ◽  
Ziyu Wu ◽  
Wenjun Zhang ◽  
...  
Keyword(s):  
Ldpc Codes ◽  
Type Ii ◽  
Hybrid Arq
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