New families of balanced symmetric functions and a generalization of Cusick, Li and Stǎnicǎ’s conjecture

Author:

Arce-Nazario Rafael A.,Castro Francis N.,González Oscar E.,Medina Luis A.,Rubio Ivelisse M.

Funder

National Science Foundation

Mellon-Mays Undergraduate Fellowship

UPR-FIPI

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference15 articles.

1. Arce-Nazario R.A., Castro F.N., Rubio I.M.: Using the covering method to compute $$p$$-divisibility of exponential sums of polynomial deformations. Proposal to the National Security Agency (2014).

2. Arce-Nazario R.A., Castro F.N., Rubio I.M.: On a generalization of Cusick-Li-Stǎnicǎ’s conjecture about balanced elementary symmetric Boolean functions. In: Talk given at the 12th International Conference on Finite Fields and Their Applications (2015).

3. Castro F.N., González O.E., Medina L.A.: A divisibility approach to the open boundary cases of Cusick-Li-Stǎnicǎ’s conjecture. Cryptogr. Commun. 7(4), 379–402 (2015).

4. Castro F.N., Medina L.A.: Linear recurrences and asymptotic behavior of exponential sums of symmetric Boolean functions. Electron. J. Combin. 18(2), 8,21 (2011).

5. Castro, F.N., Rubio I.M.: Extension of the covering method to any finite field (pre-print), https://franciscastr.files.wordpress.com/2016/01/covering-q-1 .

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