A. Frolov - Publications

2015

Frolov A., An Upper Bound on the Minimum Distance of LDPC Codes over GF(q) // In Proc. IEEE Int. Symp. Inf. Theory (ISIT), Hong Kong, China, June 14-19 2015, pp. 2885-2888. http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7282984
Frolov A., Zyablov V., On the Multiple Threshold Decoding of LDPC codes over GF(q) // In Proc. IEEE Int. Symp. Inf. Theory (ISIT), Hong Kong, China, June 14-19 2015, pp. 2673-2677. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7282941
Frolov A., Zyablov V., A new coding method for a multiple-access system with a large number of active users // In Proc. IEEE Information Theory Workshop (ITW), Jerusalem, Israel, April 26-May 1 2015. pp.1-5. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7133114
Frolov A., An Upper Bound on the Minimum Distance of Tail-Biting LDPC Convolutional codes // Information Technology and Systems, September 7-11, Olympic Village, Sochi, Russia, 2015. pp. 2-8. http://www.itas2015.iitp.ru/pdf/1570152633.pdf

2014

Frolov A., Upper Bounds on the Minimum Distance of Quasi-Cyclic LDPC codes // XIV International Workshop on Algebraic and Combinatorial Coding Theory (ACCT 2014) September 7-13, 2014, Kaliningrad, Russia. P. 163-168. http://www.moi.math.bas.bg/acct2014/a26.pdf
Frolov A., On the Hamming-Like Upper Bound on the Minimum Distance of LDPC Codes// XIV International Workshop on Algebraic and Combinatorial Coding Theory (ACCT 2014) September 7-13, 2014, Kaliningrad, Russia. P. 157-162. http://www.moi.math.bas.bg/acct2014/a25.pdf
Frolov A., Zyablov V., A Coding Technique for Q-Frequency S-User Gaussian Channel // Journal of Communications Technology and Electronics, 2014, Vol. 59, No. 12, pp. 1483–1488.
Frolov A., Zyablov V., A Coding Technique for Q-Frequency S-User Gaussian Channel // ITaS"2014 Nizhny Novgorod, Russia, September 1-5, 2014. P. 455-459.
Frolov A., Zyablov V., On the capacity of a multiple-access vector adder channel // Problems of Information Transmission, 2014, 50:2, 133–143
Frolov A., Coding for S-User Vector Adder Channel // // Proc. of XIV International Symposium on Problems of Redundancy in Information and Control Systems, Saint-Petersburg, Russia. 01-05 June 2014.

2013

Osipov D., Frolov A., Zyablov V., On the User Capacity for a Multiple-Access System in a Vector Disjunctive Channel with Errors. //Probl. Inf. Transm. 2013. V. 49. ¹4.
Osipov D., Frolov A., Zyablov V., On the Capacity of a PPM UWB Multiple-Access System with a Single User Noncoherent Reception. // In Proc. «Wireless Access Flexibility First International Workshop». Kaliningrad, 2013. P. 49-57.
Frolov A., Upper Bounds on the Minimum Code Distance of Quasi-Cyclic LDPC Codes. // In Proc «Information Technology and Systems (ITaS’13)». Kaliningrad, 2013. Ñ. 480-483.
Frolov A., Zyablov V., Sidorenko V., Fischer R., On a multiple-access in a vector disjunctive channel. // In Proc. «IEEE International Symposium on Information Theory». Istanbul, Turkey, July 7-12, 2013. P. 211-215. http://arxiv.org/abs/1301.5852

2012

Osipov D., Frolov A., Zyablov V., Multiple-Access System for a Vector Disjunctive Channel. // Probl. Inf. Transm. 2012. V. 48. ¹3 P. 52–59.
Frolov A., Error-correcting capabilities of non-binary LDPC codes (thesis).
Frolov A., Error-correcting capabilities of non-binary LDPC codes (thesis synopsis).
Osipov D., Frolov A., Zyablov V., A Multiple Access System for Disjunctive Vector Channel // XIII International Workshop on Algebraic and Combinatorial Coding Theory (ACCT 2012) June 15 - 21, 2012, Pomorie, Bulgaria. P. 269-274.

2011

Frolov A., Zyablov V., Bounds on the minimum code distance for nonbinary codes based on bipartite graphs // Probl. Peredachi Inf., 47:4 (2011), 27–42. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ppi&paperid=2058&option_lang=rus
Zyablov V., Rybin P., Frolov A., "Decoding algorithm with erasure insertion for LDPC codes constructed under GF(q)", Information-control systems, vol. 50, ¹1, 2011. http://i-us.ru/
Frolov A., Zyablov V., Upper and Lower Bounds on the Minimum Distance of Expander Codes, in Proceedings of 2011 IEEE International Symposium on Information Theory (ISIT 2011), July 31 - August 5, 2011, Saint-Petersburg, Russia, pp. 1302-1306. http://arxiv.org/abs/1105.6224

2010

Frolov A., Zyablov V., Insertion of Erasures as a Method of Q-ry LDPC Codes Decoding // Twelfth International Workshop on Algebraic and Combinatorial Coding Theory (ACCT 2010) September 5 - 11, 2010, Akademgorodok, Novosibirsk, Russia. http://math.nsc.ru/conference/acct2010/
Frolov A., Zyablov V., Asymptotic estimation of the fraction of errors correctable by q-ary ldpc codes, Probl. Inf. Transm., vol. 46, no. 2, pp. 142–159, 2010. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ppi&paperid=2015&option_lang=rus

2009

Frolov A., Zyablov V., "The application of q-ary LDPC-codes for fiber optic lines", //The XII Symposium Problems of redundancy in information and control systems, 2009. http://www.k36.org/redundancy2009/proceedings.pdf
Frolov A., Zyablov V., The application of q-ary LDPC-codes for fiber optical lines. // Proc. of XII International Symposium on Problems of Redundancy in Information and Control Systems, St. Petersburg, Russia, May 2009.