S4. Finite fields and applications

Adler Vieira Marques. Linear Complementary Pairs of AG Codes.

Alonso Sepulveda Castellanos. Weierstrass Semigroups in Fiber Product of Kummer Covers.

Andre Gerard Leroy. Combinatorial Nullstellensatz.

Cícero Carvalho. Results on the number of minimal and next-to-minimal weight codewords of certain toric codes.

Erik Antonio Rojas Mendoza. On generalized Weierstrass semigroups in arbitrary Kummer extensions of 𝔽(x).

Lucas da Silva Reis. Prescribing Traces of Primitive Elements via a New Character Sum Bound.

Miguel Beltrá Vidal. A McEliece cryptosystem with GRS codes, QC structure and small keys and ciphertexts.

Nazar Arakelian. Curves on Frobenius nonclassical loci of hypersurfaces.

Pietro Speziali. On some remarkable algebraic function field lattices.

Sajad Salami. Rational Points and Zeta Function of Weighted Projective Spaces over Finite Fields.

Samir Assuena. Multi-twisted codes as ideals in some twisted group algebra.

Sara D. Cardell. Generalizations of Hadamard-Type Matrices over Finite Fields.

Verónica Requena Arévalo. Matrices, Codes, Sequences and Boolean functions.

Victor Gonzalo López Neumann. Affine Subspaces of k-Normal Elements over Finite Fields.

Wilson Olaya León. Twisted Castle Codes for Post-Quantum Cryptography.

Arthur Fernandes Papa Pereira. Normal elements with prescribed norms.

Caio Monteiro de Oliveira. Projective and binomial methods for sparse polynomials over finite fields.

Cintya Wink de Oliveira Benedito. A Superregular Matrix Approach to Burst-Error Correction in MDS Array Codes.

Conrado Rigotti de Carvalho. On the Existence of Primitive Normal Elements over Finite Fields.

*Filipe dos Santos. An Introduction to Elliptic Curve Cryptography.

Isabel Souza Gaio. Algebraic Function Fields and Applications.

Jean Brunialti Godard. Graphs induced by quadratic forms over finite fields from vector spaces.

João Vitor Camargo Fattori. Weierstrass points in positive characteristic and Stöhr-Voloch theory.

*Lídia Campelo da Silva. A Study on the Algebraic Structure of Rhotrices.

Pedro Leonardo Pinto de Souza. Gonality, genus, and the automorphism group of algebraic curves over finite fields.

Rafael Froner Prando. Reticulados sobre corpos de funções de Fermat.

Selma Alves de Araújo. Functional graphs and dynamics of polynomials over finite fields.

*Vinícius da Costa Silva. Finite Fields and Their Applications in Cryptography.

*William Scanapieco Dias da Silva. A Study of the Mathematical Structure of the Advanced Encryption Standard.