3 papers
cs.IT2024
Fractional decoding of algebraic geometry codes over extension fields
Eduardo Camps-Moreno, Gretchen L. Matthews, Welington Santos
In this paper, we study algebraic geometry codes from curves over through their virtual projections which are algebraic geometric codes over . W…
cs.IT2023
HerA Scheme: Secure Distributed Matrix Multiplication via Hermitian Codes
Roberto A. Machado, Gretchen L. Matthews, Welington Santos
We consider the problem of secure distributed matrix multiplication (SDMM), where a user has two matrices and wishes to compute their product with the help of honest but curiou…
cs.IT2023
Bounds on Binary Niederreiter-Rosenbloom-Tsfasman LCD codes
Welington Santos
Linear complementary dual codes (LCD codes) are codes whose intersections with their dual codes are trivial. These codes were introduced by Massey in 1992. LCD codes have wide appl…