Publications of László Mérai

Papers in journals

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

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

  3. Construction of large families of pseudorandom binary sequences,  The Ramanujan Journal 18 (2009), 341--349, pdf, the original publication is available at

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

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

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

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

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

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

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

  11.  (with M. Bárász, P. Ligeti, 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, pdf

  12.  (with M. Bárász, P. Ligeti, K. Lónya, D. A. Nagy) An another twist in the Dining Cryptographers' protocol, Tatra Mt. Math. Publ. 57 (2013) 85--99 pdf

  13.  The higher dimensional analogue of certain estimates of Roth and Sárközy, Periodica Math. Hungar. 68 (2014) 77--91, pdf

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

  15.  Pseudorandomness of binary sequences derived from linear recursions, Periodica Math. Hungar. 71 (2015) 64--77, pdf

  16.  (with O. Yayla) Improving results on the pseudorandomness of sequences generated via the additive order, Discrete Math. 338 (2015), 2020--2025 pdf

  17.  (with A. Winterhof) On the pseudorandomness of the Liouville function of polynomials over a finite field, Unif. Distrib. Theory, to appear pdf

  18.  (with A. Winterhof) On the linear complexity profile of some sequences derived from elliptic curves, Des. Codes Cryptogr. , to appear pdf

  19.  On the typical values of the cross-correlation measure, submitted pdf

  20.  The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values, submitted pdf

  21.  Predicting the elliptic curve congruential generator, submitted pdf