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.
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).
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.
L. Mérai, A construction of pseudorandom binary sequences using rational functions, Unif. Distrib. Theory, 4 (2009), no. 1, 35-49.
L. Mérai, A construction of pseudorandom binary sequences using both additive and multiplicative characters, Acta Arith. 139 (2009), 241-252.
L. Mérai, Construction of pseudorandom binary lattices based on multiplicative characters, Periodica Math. Hungar. 59 (2009) 43-51.
L. Mérai, On finite pseudorandom lattices of k symbols, Monatsh. Math. 161 (2010), no. 2, 173-191.
L. Mérai, Construction of pseudorandom binary lattices using elliptic curves, Proc. Amer. Math. Soc. 139 (2011), no. 2, 407-420.
L. Mérai, Construction of pseudorandom binary sequences over elliptic curves using multiplicative characters, Publ. Math. Debrecen, 80 (2012) no. 1-2, 199-213.
L. Mérai, Remarks on pseudorandom binary sequences over elliptic curves, Fund. Inform. 114 (2012) no. 3-4, 301-308.
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.
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.
L. Mérai, The higher dimensional analogue of certain estimates of Roth and Sárközy, Periodica Math. Hungar. 68 (2014) 77-91.
L. Mérai, On the elliptic curve power generator, Unif. Distrib. Theory, 9 (2014) no. 2, 59-65.
L. Mérai, Pseudorandomness of binary sequences derived from linear recursions, Periodica Math. Hungar. 71 (2015) 64-77.
L. Mérai, O. Yayla, Improving results on the pseudorandomness of sequences generated via the additive order, Discrete Math. 338 (2015), 2020-2025.
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
L. Mérai, A. Winterhof, On the pseudorandomness of the Liouville function of polynomials over a finite field, Unif. Distrib. Theory, 11 (2016), no. 1, 74-58.
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
L. Mérai, H. Niederreiter, A. Winterhof, Expansion complexity and linear complexity of sequences over finite fields, Cryptogr. Commun. (2016) doi: 10.1007/s12095-016-0189-2
L. Mérai, The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values, Discrete Appl. Math. (2016) doi: 10.1016/j.dam.2016.06.024
L. Mérai, Predicting the elliptic curve congruential generator, Appl. Algebra Eng. Commun. Comput. (2016) doi: 10.1007/s00200-016-0303-x
L. Mérai, On pseudorandom properties of certain sequences of points on elliptic curve, Lecture Notes Computer Science, to appear.
M. Bárász, P. Ligeti, L. Mérai, D. Nagy, P. Sziklai Voting system P0700548, Hungarian patent, submission: 2007.
M. Bárász, P. Ligeti, K. Lója, L. Mérai, D. Nagy, P. Sziklai Bidding system P0700596, Hungarian patent, submission: 2007.