Publications of László Mérai

Papers in journals

  1. G. Horváth, J. Lawrence, L. Mérai, Cs. Szabó, The complexity of the equivalence problem for nonsolvable groups, Bull. Lond. Math. Soc. 39 (2007), no. 3, 433-438.

  2. G. Horváth, L. Mérai, The complexity of checking identities over non-solvable groups, (in Hungarian) Mat. Lapok 13 (2006/07), no. 2, 20-27 (2008).

  3. L. Mérai, Construction of large families of pseudorandom binary sequences, Ramanujan J. 18 (2009), 341-349, the original publication is available at www.springerlink.com.

  4. L. Mérai, A construction of pseudorandom binary sequences using rational functions, Unif. Distrib. Theory, 4 (2009), no. 1, 35-49.

  5. L. Mérai, A construction of pseudorandom binary sequences using both additive and multiplicative characters, Acta Arith. 139 (2009), 241-252.

  6. L. Mérai, Construction of pseudorandom binary lattices based on multiplicative characters, Periodica Math. Hungar. 59 (2009) 43-51.

  7. L. Mérai, On finite pseudorandom lattices of k symbols, Monatsh. Math. 161 (2010), no. 2, 173-191.

  8. L. Mérai, Construction of pseudorandom binary lattices using elliptic curves, Proc. Amer. Math. Soc. 139 (2011), no. 2, 407-420.

  9. L. Mérai, Construction of pseudorandom binary sequences over elliptic curves using multiplicative characters, Publ. Math. Debrecen, 80 (2012) no. 1-2, 199-213.

  10. L. Mérai, Remarks on pseudorandom binary sequences over elliptic curves, Fund. Inform. 114 (2012) no. 3-4, 301-308.

  11. M. Bárász, P. Ligeti, L. Mérai, D. A. Nagy, Anonymous sealed bid auction protocol based on a variant of the Dining Cryptographers' protocol, Periodica Math. Hungar. 65 (2012), no. 2, 167-176, doi: 10.1007/s10998-012-6512-6

  12. M. Bárász, P. Ligeti, K. Lónya, L. Mérai, D. A. Nagy, An another twist in the Dining Cryptographers' protocol, Tatra Mt. Math. Publ. 57 (2013) 85-99, doi: 10.2478/tmmp-2013-0037

  13. L. Mérai, The higher dimensional analogue of certain estimates of Roth and Sárközy, Periodica Math. Hungar. 68 (2014) 77-91, doi: 0.1007/s10998-014-0016-5

  14. L. Mérai, On the elliptic curve power generator, Unif. Distrib. Theory, 9 (2014) no. 2, 59-65.

  15. L. Mérai, Pseudorandomness of binary sequences derived from linear recursions, Periodica Math. Hungar. 71 (2015) 64-77, doi: 10.1007/s10998-015-0085-0

  16. L. Mérai, O. Yayla, Improving results on the pseudorandomness of sequences generated via the additive order, Discrete Math. 338 (2015), 2020-2025, doi: 10.1016/j.disc.2015.04.015

  17. L. Mérai, A. Winterhof, On the linear complexity profile of some sequences derived from elliptic curves, Des. Codes Cryptogr., 81 (2016) no. 2, 259-267, doi: 10.1007/s10623-015-0140-0

  18. L. Mérai, A. Winterhof, On the pseudorandomness of the Liouville function of polynomials over a finite field, Unif. Distrib. Theory, 11 (2016), no. 1, 47-58.

  19. L. Mérai, On the typical values of the cross-correlation measure, Monatsh. Math. 180 (2016) no. 1, 83-99, doi: 10.1007/s00605-016-0886-0

  20. L. Mérai, The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values, Discrete Appl. Math. 214 (2016) 153–168. doi: 10.1016/j.dam.2016.06.024

  21. L. Mérai, H. Niederreiter, A. Winterhof, Expansion complexity and linear complexity of sequences over finite fields, Cryptogr. Commun. 9 (2017) no. 4, 501-509 doi: 10.1007/s12095-016-0189-2

  22. L. Mérai, Predicting the elliptic curve congruential generator, Appl. Algebra Eng. Commun. Comput. 28 (2017) no. 3, 193-203 doi: 10.1007/s00200-016-0303-x

  23. L. Mérai, On pseudorandom properties of certain sequences of points on elliptic curve, Lecture Notes in Comput. Sci., 10064, Springer, Berlin, 2017, 54--63 doi: 10.1007/978-3-319-55227-9_4

  24. R. Hofer, L. Mérai, A. Winterhof, Measures of pseudorandomness: Arithmetic autocorrelation and correlation measure. In: C. Elsholtz, P. Grabner (Eds.), Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday.: Springer, to appear

  25. L. Mérai, On the elliptic curve endomorphism generator, Des. Codes Cryptogr. (2017). doi: 10.1007/s10623-017-0382-0

  26. L. Mérai, A. Winterhof, On the pseudorandomness of automatic sequences, Cryptogr. Commun. (2017). doi: 10.1007/s12095-017-0260-7

  27. L. Mérai, A. Winterhof, On the Nth linear complexity of automatic sequences, to appear.

  28. D. Gómez-Pérez, L. Mérai, I. E. Shparlinski, On the complexity of exact counting of dynamically irreducible polynomials. preprint.

  29. D. Gómez-Pérez, L. Mérai, H. Niederreiter, On the expansion complexity of sequences over finite fields. preprint.


Patents