Frolov, Alexey; Zyablov, Victor On the multiple threshold decoding of LDPC codes over \(\mathrm{GF}(q)\). (English) Zbl 1357.94081 Adv. Math. Commun. 11, No. 1, 123-137 (2017). MSC: 94B05 94B35 PDF BibTeX XML Cite \textit{A. Frolov} and \textit{V. Zyablov}, Adv. Math. Commun. 11, No. 1, 123--137 (2017; Zbl 1357.94081) Full Text: DOI
Marrocco, C.; Tortorella, F. Exploiting coding theory for classification: an LDPC-based strategy for multiclass-to-binary decomposition. (English) Zbl 1427.68270 Inf. Sci. 357, 88-107 (2016). MSC: 68T05 62H30 94B05 94B35 PDF BibTeX XML Cite \textit{C. Marrocco} and \textit{F. Tortorella}, Inf. Sci. 357, 88--107 (2016; Zbl 1427.68270) Full Text: DOI
Zhilin, I. V.; Ivanov, F. I. Vectorizing computations at decoding of nonbinary codes with small density of checks. (English. Russian original) Zbl 1355.94097 Autom. Remote Control 77, No. 10, 1781-1791 (2016); translation from Avtom. Telemekh. 2016, No. 10, 109-122 (2016). MSC: 94B60 PDF BibTeX XML Cite \textit{I. V. Zhilin} and \textit{F. I. Ivanov}, Autom. Remote Control 77, No. 10, 1781--1791 (2016; Zbl 1355.94097); translation from Avtom. Telemekh. 2016, No. 10, 109--122 (2016) Full Text: DOI
Rybin, P. S.; Zyablov, V. V. Asymptotic bounds on the decoding error probability for two ensembles of LDPC codes. (English. Russian original) Zbl 1367.94469 Probl. Inf. Transm. 51, No. 3, 205-216 (2015); translation from Probl. Peredachi Inf. 51, No. 3, 3-14 (2015). MSC: 94B70 94B05 94B35 PDF BibTeX XML Cite \textit{P. S. Rybin} and \textit{V. V. Zyablov}, Probl. Inf. Transm. 51, No. 3, 205--216 (2015; Zbl 1367.94469); translation from Probl. Peredachi Inf. 51, No. 3, 3--14 (2015) Full Text: DOI
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
Frolov, A. A.; Zyablov, V. V. Asymptotic estimation of the fraction of errors correctable by \(q\)-ary LDPC codes. (English. Russian original) Zbl 1237.94145 Probl. Inf. Transm. 46, No. 2, 142-159 (2010); translation from Probl. Peredachi Inf. 46, No. 2, 47-65 (2010). MSC: 94B60 94B35 94B70 PDF BibTeX XML Cite \textit{A. A. Frolov} and \textit{V. V. Zyablov}, Probl. Inf. Transm. 46, No. 2, 142--159 (2010; Zbl 1237.94145); translation from Probl. Peredachi Inf. 46, No. 2, 47--65 (2010) Full Text: DOI
Zyablov, V. V.; Rybin, P. S. Erasure correction by low-density codes. (English. Russian original) Zbl 1178.94254 Probl. Inf. Transm. 45, No. 3, 204-220 (2009); translation from Probl. Peredachi Inf. 45, No. 3, 15-32 (2009). MSC: 94B60 94B20 PDF BibTeX XML Cite \textit{V. V. Zyablov} and \textit{P. S. Rybin}, Probl. Inf. Transm. 45, No. 3, 204--220 (2009; Zbl 1178.94254); translation from Probl. Peredachi Inf. 45, No. 3, 15--32 (2009) Full Text: DOI
Zyablov, V. A.; Johannesson, R.; Lončar, M. Low-complexity error correction of Hamming-code-based LDPC codes. (English. Russian original) Zbl 1173.94451 Probl. Inf. Transm. 45, No. 2, 95-109 (2009); translation from Probl. Peredachi Inf. 45, No. 2, 25-40 (2009). MSC: 94B05 PDF BibTeX XML Cite \textit{V. A. Zyablov} et al., Probl. Inf. Transm. 45, No. 2, 95--109 (2009; Zbl 1173.94451); translation from Probl. Peredachi Inf. 45, No. 2, 25--40 (2009) Full Text: DOI
Zigangirov, K. Sh.; Pusane, A. E.; Zigangirov, D. K.; Costello, D. J. On the error-correcting capability of LDPC codes. (English. Russian original) Zbl 1173.94010 Probl. Inf. Transm. 44, No. 3, 214-225 (2008); translation from Probl. Peredachi Inf. 44, No. 3, 50-62 (2008). MSC: 94B60 PDF BibTeX XML Cite \textit{K. Sh. Zigangirov} et al., Probl. Inf. Transm. 44, No. 3, 214--225 (2008; Zbl 1173.94010); translation from Probl. Peredachi Inf. 44, No. 3, 50--62 (2008) Full Text: DOI
Zigangirov, D. K.; Zigangirov, K. Sh. Decoding of low-density codes with parity-check matrices composed of permutation matrices in an erasure channel. (English. Russian original) Zbl 1237.94142 Probl. Inf. Transm. 42, No. 2, 106-113 (2006); translation from Probl. Peredachi Inf. 42, No. 2, 44-52 (2006). MSC: 94B35 PDF BibTeX XML Cite \textit{D. K. Zigangirov} and \textit{K. Sh. Zigangirov}, Probl. Inf. Transm. 42, No. 2, 106--113 (2006; Zbl 1237.94142); translation from Probl. Peredachi Inf. 42, No. 2, 44--52 (2006) Full Text: DOI
Burshtein, David; Miller, Gadi Iterative decoding of LDPC codes: some bounds and properties. (English) Zbl 0980.68046 Physica A 302, No. 1-4, 35-43 (2001). MSC: 68P30 PDF BibTeX XML Cite \textit{D. Burshtein} and \textit{G. Miller}, Physica A 302, No. 1--4, 35--43 (2001; Zbl 0980.68046) Full Text: DOI
Zyablov, V. V.; Justesen, J.; Dettmar, U.; Sorger, U. Decoding concatenated codes with inner convolutional codes. (English. Russian original) Zbl 0913.94016 Probl. Inf. Transm. 30, No. 2, 95-101 (1994); translation from Probl. Peredachi Inf. 30, No. 2, 3-9 (1994). MSC: 94B10 94B35 PDF BibTeX XML Cite \textit{V. V. Zyablov} et al., Probl. Inf. Transm. 30, No. 2, 95--101 (1994; Zbl 0913.94016); translation from Probl. Peredachi Inf. 30, No. 2, 3--9 (1994) Full Text: DOI