Journal Papers

         T. Baicheva and E.Velikova, Covering Radii of Ternary Linear Codes of Small Dimensions and Codimensions, IEEE Trans. Inform. Theory, vol. 43, pp. 2057-2061, 1997.

         T. Baicheva, The Covering Radius of Ternary Cyclic Codes with Length up to 25, Designs, Codes and Cryptography, vol.13, pp. 223-227, 1998.

         T. Baicheva, S. Dodunekov and P. Kazakov, On the Cyclic Redundancy-Check Codes with 8-Bit Redundancy, Computer Communications, vol. 21, pp. 1030-1033, 1998.

         P. Östergård, T. Baicheva and E. Kolev, Optimal Binary One-error-correcting Codes of Length 10 have 72 Codewords, IEEE Trans. Inform. Theory, vol. 45, No. 4, pp. 1229-1231, 1999.

         T. Baicheva, S. Dodunekov and P. Kazakov, On the Undetected Error Probability Performance of Cyclic Redundancy-Check Codes of 16-bit Redundancy, IEE Proc. Communications, vol. 147, No 5, pp. 253-256, 2000.

         T. Baicheva, On the covering radius of ternary negacyclic codes with length up to 26, IEEE Trans. on Inform. Theory, vol. 47, No. 1, pp. 413-416, 2001.

         T. Baicheva, S. Dodunekov and R. Koetter, On the Performance of the Ternary [13,7,5] Quadratic-Residue Codes, IEEE Trans. Inform. Theory, vol. 48, No. 2, pp. 562-564, 2002.

         T. Baicheva and V. Varek, On the least covering radius of binary linear codes with small lengths, IEEE Trans. on Inform. Theory, vol. 49, No. 3, pp. 738-740, 2003.

         T. Baicheva and I. Gancheva, Computer search for ternary cyclic and negacyclic LUEP codes of lengths up to 26, Mathematica Balkanica, New Series vol. 18, pp. 79-80, 2004.

         T. Baicheva, I. Boyukliev, S. Dodunekov and W. Willems, On Reed-Solomon and Glynn $[10,5,6]_9$ codes, Mathematica Balkanica, New Series vol. 18, pp. 67-78, 2004.

         T. Baicheva, I. Boyukliev, S. Dodunekov and W. Willems, Teaching linear codes, Mathematica Balkanica, New Series vol. 19, pp. 3-16, 2005.

         E. Velikova and T. Baicheva, On the computation of the weight distribution of the cosets of cyclic codes, Annuaire de l'Université de Sofia "St.~Kl.~Ohridski", vol. 97, pp. 109-114, 2005.

         T. Baicheva, I. Boyukliev, S. Dodunekov and W. Willems, Teaching linear codes, Mathematica Balkanica, New Series vol. 19, pp. 3-16, 2005.

         T. Baicheva, On the error correcting performance of some binary and ternary linear codes, Serdica, Journal of Computing, vol.1, pp. 157-170, 2007.

         T. Baicheva and F. Salam, CRC codes for error control, Mathematica Balkanica, New series vol. 21, Fasc. 3-4, pp. 377-388, 2007.

         T. Baicheva, Determination of the best CRC codes with up to 10-bit redundancy, IEEE Trans. on Communic., vol. 56, issue 8, pp. 1214-1220, 2008.

         T. Baicheva, I. Bouyukliev, S. Dodunekov, and V. Fack, Binary and Ternary Quasi-perfect Codes with Small Dimensions, IEEE Trans. on Inform. Theory, vol. 54, issue 9, pp. 4335-4339, 2008.

         T. Baicheva and I. Bouyukliev, On the least covering radius of the binary linear codes of dimension 6, Advances in Mathematics of Communications, vol.4, No 3, pp. 399-404, August, 2010.

         T. Baicheva and S. Topalova, Classification of optimal (v,4,1) binary cyclically permutable constant weight codes and cyclic S(2,4,v) designs with v≤76, Problems of Information Transmission, vol. 47, No 3, September 2011, pp.224-231.

         T. Baicheva, All binary linear codes of lengths up to 18 or redundancy up to 10 are normal, Advances in Mathematics of Communications, vol. 5, No 4, November 2011, pp. 681-686,

         T. Baicheva and S. Topalova, Optimal (v,4,2,1) optical orthogonal codes with small parameters, Journal of Combinatorial Designs, vol. 20 (2), 2012, pp. 142-160.

         T. Baicheva and S. Topalova, Optimal (v, 5, 2, 1) optical orthogonal codes of small v, Applical Algebra in Engeneering Communication and Computing, vol. 24, numbers 3-4, 2013, pp. 165-177.

         T. Baicheva and S. Topalova, Classification of maximal optical orthogonal codes of weight 3 and small lengths, Serdica Journal of Computing, vol. 9, No. 1, 2015, pp. 83-92.

         E. Kolev and T. Baicheva, Minimal coverings of {0,1,2}n with spheres of radius n, to appear in Utiltitas Mathematica.

 

 

Papers in Conference Proceedings

         T. Baicheva, G.Bogdanova, S.Ilieva, Sv.Topalova, Object-oriented C++ library for computations in and over finite fields of characteristic 2, Mathematics and Education in Mathematics, pp. 227-230, 1994.

         T. Baicheva and K.Manev, Finding a linear closure of a set of vectors over a finite field of a non-binary characteristic, Mathematics and Education in Mathematics, pp. 313-318, 1994. (in Bulgarian)

         T. Baicheva, Least Covering Radius of Two-dimensional Codes over GF(3) and GF(4), Proc. of the International Workshop on Optimal Codes, Sozopol, Bulgaria, pp. 7-10, 1995.

         T. Baicheva, Computer Tools for Determining the Covering Radius of Ternary Linear Codes, Mathematics and Education in Mathematics, pp. 78-81, 1997.

         T. Baicheva, On the least covering radius of some binary linear codes, Mathematics and Education in Mathematics, pp. 144-149, 1998.

         T. Baicheva, S. Dodunekov and P. Kazakov, On the error detection performance of some standardized CRC codes, Proc.of the Int. Workshop TELECOM, St. Konstantin, Bulgaria, 1998.

         T. Baicheva, Binary and ternary linear codes which are good and proper for error correction, Proc of the International Workshop on Algebraic and Combinatorial Coding Theory, Bansko, Bulgaria, pp. 55-60, 2000. (pdf)

         T. Baicheva, The Newton radius of some binary and ternary cyclic codes, Proc of the International Workshop on Algebraic and Combinatorial Coding Theory, Tsarskoe Selo, Russia, pp. 18-21, 2002. (pdf, List of codes)

         T. Baicheva and I. Boyukliev, On the ternary projective codes with dimensions 4 and 5, Proc of the International Workshop on Algebraic and Combinatorial Coding Theory, Kranevo, Bulgaria, pp. 34-39, 2004. (pdf)

         T. Baicheva and F. Sallam, On the error detection performance of some CRC codes, Proc. of the workshop 'Mathematics, Informatics and Computer Sciences', Veliko Tarnovo, Bulgaria, pp. 107-110, 2006.

         T. Baicheva and F. Sallam, Error control performance of CRC codes with up to 8 bit redundancy, Proc. of the International Workshop on Algebraic and Combinatorial Coding Theory, Zvenigorod, Russia, pp. 11-14, 2006.

         T. Baicheva, I. Bouyukliev, Stefan Dodunekov and V. Fack, Binary and ternary quasi-perfect codes with small dimensions, Proc. of the International Workshop Optimal Codes and Related Topics, White Lagoon, Bulgaria, pp.13-18, 2007.

         T. Baicheva and I. Bouyukliev, On the least covering radius of the binary linear codes of dimension 6, Proc. of the International Workshop on Algebraic and Combinatorial Coding Theory, Pamporovo, Bulgaria, pp. 7-12, 2008.

         T. Baicheva, Normality of some binary linear codes, Proc. of the International Workshop Optimal Codes and Related Topics, Varna, Bulgaria, pp. 5-10, 2009.

         T. Baicheva and S. Topalova, Classification of optimal (v,4,1) optical orthogonal codes with v<=76, Proc. of the International Workshop on Algebraic and Combinatorial Coding Theory, Novosibirsk, Russia, pp. 26-30, 2010.

         T. Baicheva and S. Topalova, Optimal (v, 3, 1) binary cyclically permutable constant weight codes with small v, Proc. of the International Workshop on Algebraic and Combinatorial Coding Theory, Primorsko, Bulgaria, pp. 41-46, 2012.

         E. Kolev and T. Baicheva, About the inverse football pool problem for 9 games, Proc of Seventh Int. Workshop on Optimal Codes and Related Topics, Albena, Bulgaria, pp. 125 133, 2013.

         T. Baicheva and S. Topalova, New perfect difference families, Proc. of the International Workshop on Algebraic and Combinatorial Coding Theory, Svetlogorsk, Russia, pp. 18-23, 2014.

         T. Baicheva and S. Topalova, Classification of optimal conflict-avoiding codes of weights 6 and 7, Proc. of the International Workshop on Algebraic and Combinatorial Coding Theory, Albena, Bulgaria, pp. 13-18, 2016.