Kharin, A. V.; Zavertkin, K. N.; Ovinnikov, A. A. Detecting cycles of length 10 in the Tanner graph of a QC-LDPC code based on protograph analysis. (English. Russian original) Zbl 07312360 Probl. Inf. Transm. 56, No. 4, 317-331 (2020); translation from Probl. Peredachi Inf. 56, No. 4, 19-34 (2020). MSC: 94B 05C48 PDF BibTeX XML Cite \textit{A. V. Kharin} et al., Probl. Inf. Transm. 56, No. 4, 317--331 (2020; Zbl 07312360); translation from Probl. Peredachi Inf. 56, No. 4, 19--34 (2020) Full Text: DOI
Dehghan, Ali; Banihashemi, Amir H. On finding bipartite graphs with a small number of short cycles and large girth. (English) Zbl 1452.05093 IEEE Trans. Inf. Theory 66, No. 10, 6024-6036 (2020). MSC: 05C38 94B05 05C65 05C75 05C85 PDF BibTeX XML Cite \textit{A. Dehghan} and \textit{A. H. Banihashemi}, IEEE Trans. Inf. Theory 66, No. 10, 6024--6036 (2020; Zbl 1452.05093) Full Text: DOI
Amirzade, Farzane; Sadeghi, Mohammad-Reza; Panario, Daniel QC-LDPC construction free of small size elementary trapping sets based on multiplicative subgroups of a finite field. (English) Zbl 1455.94222 Adv. Math. Commun. 14, No. 3, 397-411 (2020). MSC: 94B05 94B15 PDF BibTeX XML Cite \textit{F. Amirzade} et al., Adv. Math. Commun. 14, No. 3, 397--411 (2020; Zbl 1455.94222) Full Text: DOI
Kharin, A. V.; Zavertkin, K. N.; Ovinnikov, A. A. Detecting cycles of length 8 in the Tanner graph of a QC-LDPC code based on protograph analysis. (English. Russian original) Zbl 07226808 Probl. Inf. Transm. 56, No. 2, 173-184 (2020); translation from Probl. Peredachi Inf. 56, No. 2, 82-94 (2020). MSC: 94B05 PDF BibTeX XML Cite \textit{A. V. Kharin} et al., Probl. Inf. Transm. 56, No. 2, 173--184 (2020; Zbl 07226808); translation from Probl. Peredachi Inf. 56, No. 2, 82--94 (2020) Full Text: DOI
Zhang, Meixiang; Chan, Satya; Kim, Sooyoung Soft iterative decoding algorithms for rateless codes in satellite systems. (English) Zbl 1451.94024 Algorithms (Basel) 12, No. 8, Paper No. 151, 15 p. (2019). MSC: 94A29 PDF BibTeX XML Cite \textit{M. Zhang} et al., Algorithms (Basel) 12, No. 8, Paper No. 151, 15 p. (2019; Zbl 1451.94024) Full Text: DOI
Amirzade, Farzane; Alishahi, Meysam; Sadeghi, Mohammad Reza Rafsanjani An algebraic construction of QC-LDPC codes based on powers of primitive elements in a finite field and free of small ETSs. (English) Zbl 07253767 Algebr. Struct. Appl. 6, No. 1, 127-138 (2019). MSC: 05C50 PDF BibTeX XML Cite \textit{F. Amirzade} et al., Algebr. Struct. Appl. 6, No. 1, 127--138 (2019; Zbl 07253767) Full Text: DOI
Dehghan, Ali; Banihashemi, Amir H. Asymptotic average multiplicity of structures within different categories of trapping sets, absorbing sets, and stopping sets in random regular and irregular LDPC code ensembles. (English) Zbl 1432.94165 IEEE Trans. Inf. Theory 65, No. 10, 6022-6043 (2019). MSC: 94B05 94B15 94C15 PDF BibTeX XML Cite \textit{A. Dehghan} and \textit{A. H. Banihashemi}, IEEE Trans. Inf. Theory 65, No. 10, 6022--6043 (2019; Zbl 1432.94165) Full Text: DOI
Dehghan, Ali; Banihashemi, Amir H. Cospectral bipartite graphs with the same degree sequences but with different number of large cycles. (English) Zbl 1431.05099 Graphs Comb. 35, No. 6, 1673-1693 (2019). MSC: 05C50 05C38 05C07 05C30 05C12 94B99 PDF BibTeX XML Cite \textit{A. Dehghan} and \textit{A. H. Banihashemi}, Graphs Comb. 35, No. 6, 1673--1693 (2019; Zbl 1431.05099) Full Text: DOI arXiv
Xu, Hengzhou; Bai, Baoming; Feng, Dan; Sun, Cheng On the girth of Tanner \( (5,7)\) quasi-cyclic LDPC codes. (English) Zbl 1399.94101 J. Harbin Inst. Technol. (N.S.) 24, No. 6, 80-89 (2017). MSC: 94B15 68P30 PDF BibTeX XML Cite \textit{H. Xu} et al., J. Harbin Inst. Technol. (N.S.) 24, No. 6, 80--89 (2017; Zbl 1399.94101) Full Text: DOI
Xu, Hengzhou; Bai, Baoming; Feng, Dan; Sun, Cheng On the girth of Tanner \((3,11)\) quasi-cyclic LDPC codes. (English) Zbl 1420.94107 Finite Fields Appl. 46, 65-89 (2017). MSC: 94B05 94B15 94B60 PDF BibTeX XML Cite \textit{H. Xu} et al., Finite Fields Appl. 46, 65--89 (2017; Zbl 1420.94107) Full Text: DOI
Gholami, Mohammad; Rahimi, Zahra Recursive construction of \((J,L)\) QC LDPC codes with girth 6. (English) Zbl 07274715 Trans. Comb. 5, No. 2, 11-22 (2016). MSC: 11H71 68P30 PDF BibTeX XML Cite \textit{M. Gholami} and \textit{Z. Rahimi}, Trans. Comb. 5, No. 2, 11--22 (2016; Zbl 07274715) Full Text: DOI
Gholami, Mohammad; Gholami, Zahra An explicit method to generate some QC LDPC codes with girth 8. (English) Zbl 1342.94114 Iran. J. Sci. Technol., Trans. A, Sci. 40, No. 2, 145-149 (2016). MSC: 94B05 PDF BibTeX XML Cite \textit{M. Gholami} and \textit{Z. Gholami}, Iran. J. Sci. Technol., Trans. A, Sci. 40, No. 2, 145--149 (2016; Zbl 1342.94114) Full Text: DOI
Janbaz, Shahrooz; Taheri, Zahra; Zaghian, Ali Sparse codes derived from graphs. (English) Zbl 1363.94087 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 77, No. 4, 105-116 (2015). MSC: 94B05 94C15 PDF BibTeX XML Cite \textit{S. Janbaz} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 77, No. 4, 105--116 (2015; Zbl 1363.94087)
Zhao, Yuli; Lau, Francis C. M.; Zhu, Zhiliang; Zhang, Wei Generation of Luby transform codes with low redundancy. (English) Zbl 1317.94160 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550072, 8 p. (2015). MSC: 94B35 94A40 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550072, 8 p. (2015; Zbl 1317.94160) Full Text: DOI
Høholdt, Tom; Piñero, Fernando; Zeng, Peng Optimal codes as Tanner codes with cyclic component codes. (English) Zbl 1346.94150 Des. Codes Cryptography 76, No. 1, 37-47 (2015). MSC: 94B15 94B25 94B27 11T71 PDF BibTeX XML Cite \textit{T. Høholdt} et al., Des. Codes Cryptography 76, No. 1, 37--47 (2015; Zbl 1346.94150) Full Text: DOI
Gholami, Mohammad; Mostafaiee, Fahime Sadat On the girth of Tanner \((3, 7)\) quasi-cyclic LDPC codes. (English) Zbl 1316.94125 Trans. Comb. 1, No. 2, 1-16 (2012). MSC: 94B60 11T71 94C15 PDF BibTeX XML Cite \textit{M. Gholami} and \textit{F. S. Mostafaiee}, Trans. Comb. 1, No. 2, 1--16 (2012; Zbl 1316.94125)
Zyablov, V. V.; Rybin, P. S. Analysis of the relation between properties of LDPC codes and the Tanner graph. (English. Russian original) Zbl 1312.94117 Probl. Inf. Transm. 48, No. 4, 297-323 (2012); translation from Probl. Peredachi Inf. 48, No. 4, 3–29 (2012). MSC: 94B05 94B35 05C90 PDF BibTeX XML Full Text: DOI
Srinivasan, Srimathy; Thangaraj, Andrew Codes on planar Tanner graphs. (English) Zbl 1278.94075 Adv. Math. Commun. 6, No. 2, 131-163 (2012). MSC: 94B05 05C10 94B65 PDF BibTeX XML Cite \textit{S. Srinivasan} and \textit{A. Thangaraj}, Adv. Math. Commun. 6, No. 2, 131--163 (2012; Zbl 1278.94075) Full Text: DOI arXiv
Sakzad, Amin; Sadeghi, Mohammad-Reza On cycle-free lattices with high rate label codes. (English) Zbl 1225.94032 Adv. Math. Commun. 4, No. 4, 441-452 (2010). MSC: 94B75 11H31 11H71 94A29 PDF BibTeX XML Cite \textit{A. Sakzad} and \textit{M.-R. Sadeghi}, Adv. Math. Commun. 4, No. 4, 441--452 (2010; Zbl 1225.94032) Full Text: DOI
Sakzad, Amin; Sadeghi, Mohammad-Reza On cycle-free lattices. (English) Zbl 1216.94039 Brualdi, Richard A. (ed.) et al., Combinatorics and graphs. Selected papers based on the presentations at the twentieth anniversary conference of IPM on combinatorics, Tehran, Iran, May 15–21, 2009. Dedicated to Reza Khosrovshahi on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4865-4/pbk). Contemporary Mathematics 531, 143-147 (2010). MSC: 94A24 11H31 05C38 PDF BibTeX XML Cite \textit{A. Sakzad} and \textit{M.-R. Sadeghi}, Contemp. Math. 531, 143--147 (2010; Zbl 1216.94039) Full Text: arXiv
Kelley, Christine A. Minimum distance and pseudodistance lower bounds for generalised LDPC codes. (English) Zbl 1204.94100 Int. J. Inf. Coding Theory 1, No. 3, 313-333 (2010). MSC: 94B05 PDF BibTeX XML Cite \textit{C. A. Kelley}, Int. J. Inf. Coding Theory 1, No. 3, 313--333 (2010; Zbl 1204.94100) Full Text: DOI
Sakzad, Amin; Sadeghi, Mohammad-Reza; Panario, Daniel Codes with girth 8 Tanner graph representation. (English) Zbl 1202.94235 Des. Codes Cryptography 57, No. 1, 71-81 (2010). Reviewer: Piroska Lakatos (Debrecen) MSC: 94C15 94B05 05C90 05C38 PDF BibTeX XML Cite \textit{A. Sakzad} et al., Des. Codes Cryptography 57, No. 1, 71--81 (2010; Zbl 1202.94235) Full Text: DOI
Esmaeili, Morteza On full-rank parity-check matrices of product codes. (English) Zbl 1211.94042 Util. Math. 76, 3-10 (2008). MSC: 94B05 15A99 PDF BibTeX XML Cite \textit{M. Esmaeili}, Util. Math. 76, 3--10 (2008; Zbl 1211.94042)
Hu, Xiao-Yu; Eleftheriou, Evangelos; Arnold, Dieter-Michael Regular and irregular progressive edge-growth Tanner graphs. (English) Zbl 1304.05135 IEEE Trans. Inf. Theory 51, No. 1, 386-398 (2005). MSC: 05C85 94B35 94B60 PDF BibTeX XML Cite \textit{X.-Y. Hu} et al., IEEE Trans. Inf. Theory 51, No. 1, 386--398 (2005; Zbl 1304.05135) Full Text: DOI
Djurdjevic, Ivana; Xu, Jun; Abdel-Ghaffar, Khaled; Lin, Shu A class of low-density parity-check codes constructed based on Reed-Solomon codes with two information symbols. (English) Zbl 1031.94553 Fossorier, Marc (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 15th international symposium, AAECC-15, Toulouse, France, May 12-16, 2003. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2643, 98-107 (2003). MSC: 94B60 05C90 94B35 05B20 PDF BibTeX XML Cite \textit{I. Djurdjevic} et al., Lect. Notes Comput. Sci. 2643, 98--107 (2003; Zbl 1031.94553) Full Text: Link
Soljanin, E.; Offer, E. Bit-optimal decoding of codes whose Tanner graphs are trees. (English) Zbl 1031.94019 Discrete Appl. Math. 128, No. 1, 293-303 (2003). Reviewer: Ioan Tomescu (Bucureşti) MSC: 94B25 94B35 94B05 05C90 PDF BibTeX XML Cite \textit{E. Soljanin} and \textit{E. Offer}, Discrete Appl. Math. 128, No. 1, 293--303 (2003; Zbl 1031.94019) Full Text: DOI
Janwa, H.; Lal, A. K. On Tanner codes: Minimum distance and decoding. (English) Zbl 1031.94018 Appl. Algebra Eng. Commun. Comput. 13, No. 5, 335-347 (2003). Reviewer: Ioan Tomescu (Bucureşti) MSC: 94B25 94B35 94B65 05C90 94B05 PDF BibTeX XML Cite \textit{H. Janwa} and \textit{A. K. Lal}, Appl. Algebra Eng. Commun. Comput. 13, No. 5, 335--347 (2003; Zbl 1031.94018) Full Text: DOI
Cadic, E.; Carlach, J. C.; Olocco, G.; Otmani, A.; Tillich, J. P. Low complexity tail-biting trellises of self-dual codes of length 24, 32 and 40 over GF(2) and \({\mathbb Z}_4\) of large minimum distance. (English) Zbl 1057.94023 Boztaş, Serdar (ed.) et al., Applied algebra, algebraic algorithms and error-correcting codes. 14th international symposium, AAECC-14, Melbourne, Australia, November 26–30, 2001. Proceedings. Berlin: Springer (ISBN 3-540-42911-5). Lect. Notes Comput. Sci. 2227, 57-66 (2001). MSC: 94B05 05C90 94B12 PDF BibTeX XML Cite \textit{E. Cadic} et al., Lect. Notes Comput. Sci. 2227, 57--66 (2001; Zbl 1057.94023) Full Text: Link
Paire, J. T.; Coulton, P.; Farrell, P. G. Graph configurations and decoding performance. (English) Zbl 0998.94559 Honary, Bahram (ed.), Cryptography and coding. 8th IMA international conference, Cirencester, GB, December 17-19, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2260, 158-165 (2001). MSC: 94B35 05C90 PDF BibTeX XML Cite \textit{J. T. Paire} et al., Lect. Notes Comput. Sci. 2260, 158--165 (2001; Zbl 0998.94559) Full Text: DOI
Wang, Qi; Wei, Lei Graph-based iterative decoding algorithms for parity-concatenated trellis codes. (English) Zbl 1024.94015 IEEE Trans. Inf. Theory 47, No. 3, 1062-1074 (2001). MSC: 94B12 94B35 05C90 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{L. Wei}, IEEE Trans. Inf. Theory 47, No. 3, 1062--1074 (2001; Zbl 1024.94015) Full Text: DOI
Tanner, Robert Michael Minimum-distance bounds by graph analysis. (English) Zbl 1002.94034 IEEE Trans. Inf. Theory 47, No. 2, 808-821 (2001). MSC: 94B05 05C90 94B65 90C05 90C27 PDF BibTeX XML Cite \textit{R. M. Tanner}, IEEE Trans. Inf. Theory 47, No. 2, 808--821 (2001; Zbl 1002.94034) Full Text: DOI
Ping, Li; Wu, Keying Y. Concatenated tree codes: A low-complexity, high-performance approach. (English) Zbl 1003.94014 IEEE Trans. Inf. Theory 47, No. 2, 791-799 (2001). MSC: 94A29 05C90 PDF BibTeX XML Cite \textit{L. Ping} and \textit{K. Y. Wu}, IEEE Trans. Inf. Theory 47, No. 2, 791--799 (2001; Zbl 1003.94014) Full Text: DOI