Publications
Journal Publications
- T. Garefalakis, G. Kapetanakis, A note on the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials, Finite Fields and Applications, 35, 61 -- 63, 2015.
- T. Garefalakis, G. Kapetanakis, On the Hansen–Mullen conjecture for self-reciprocal irreducible polynomials, Finite Fields and Applications, 18(4), 832 -- 841, 2012.
- M. Christopoulou, T. Garefalakis, D. Panario, D. Thomson, Gauss periods as constructions of low complexity normal bases, Designs Codes and Cryptography, 62(1), 43 -- 62, 2012.
- T. Garefalakis, On the action of GL(2,q) on irreducible polynomials over Fq, Journal of Pure and Applied Algebra, 215, 1835 -- 1843, 2011.
- T. Garefalakis, Self-reciprocal irreducible polynomials with prescribed coefficients, Finite Fields and Applications, 17(2), 183 -- 193, 2010.
- I.F. Blake, T. Garefalakis, A transform property of Kloosterman sums, Discrete Applied Mathematics, 158, 1064 -- 1072, 2010.
- M. Christopoulou, T. Garefalakis, D. Panario, D. Thomson, The trace of an optimal normal element and low complexity normal bases, Designs Codes and Cryptography , 49, 199 -- 215, 2008.
- I.F. Blake, T. Garefalakis, Polynomial approximation of Bilinear-Diffie-Hellman maps, Finite Fields and Applications, 14(2), 379 -- 389, 2008.
- T. Garefalakis, Irreducible polynomials with consecutive zero coefficients, Finite Fields and Applications, 14(1), 201 -- 208, 2008.
- T. Garefalakis, The hidden number problem with non-prime modulus, JP Journal of Algebra, Number Theory and Applications, 8(2), 193 -- 211, 2007.
- I.F. Blake, T. Garefalakis and I.E. Shparlinski, On the bit security of the Diffie-Hellman key, Appl. Algebra in Engin., Commun. and Computing, 16(6), 397 -- 404, 2006.
- I.F. Blake, T. Garefalakis, On the complexity of the discrete logarithm and the Diffie-Hellman problems, J. of Complexity, 20(2-3), 148 -- 170, 2004.
- T. Garefalakis, The generalized Weil pairing and the discrete logarithm problem on elliptic curves, Theoretical Comp. Sci. 321, 59 -- 72, 2004.
- J. Dankers, T. Garefalakis, R. Schaffelhofer and T. Write, Public key infrastructure in mobile systems, Electronics & Communication Engineering Journal, 14(5), 2002.
- T. Garefalakis, D. Panario, Polynomials over Finite Fields Free from Large and Small Degree Irreducible Factors, J. of Algorithms 44(1), 98 -- 120, 2002.
- I.F. Blake, T. Garefalakis, On the security of the Digital Signature Algorithm, Designs Codes and Cryptography, 26, 87 -- 96, 2002.
- S.R. Blackburn, T. Garefalakis, Cryptanalysis of a Cryptosystem due to Yoo, Hong, Lee, Lim, Yi and Sung, Electronics Letters, 37(18), 1118 -- 1119, 2001.
- T. Garefalakis, D. Panario, The Index Calculus Method Using Non-Smooth Polynomials, Mathematics of Computation, 70(235), 1253 -- 1264, 2001.
- M. Christopoulou, T. Garefalakis, D. Panario, D. Thomson, The trace of an optimal normal element and low complexity normal bases, Proc.of the Workshop on Coding and Cryptography, 2007, INRIA, 79 -- 88, 2007.
- T. Garefalakis, C.J. Mitchell, Securing Personal Area Networks, 13th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Lisboa, Portugal, 2002, pp. 1257 -- 1259.
- T. Garefalakis, The generalized Weil pairing and the discrete logarithm problem on elliptic curves, 3rd Latin American Theoretical Informatics Conference, Cancun, Mexico, Lecture Notes in Computer Science, 2286 (2002), 118 -- 130.
- T. Garefalakis, A New Family of Randomized Algorithms for List Accessing, 5th European Symposium on Algorithms, Graz, Austria, Lecture Notes in Computer Science,1284 (1997), 200 -- 216.