4 papers · 1 filter
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…
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…
On Fractional Decoding of Reed-Solomon Codes
Welington Santos
We define a virtual projection of a Reed-Solomon code to an Reed-Solomon code. A new probabilistic decoding algorithm that can be used to perform fracti…
Polynomial Invariant Theory and Shape Enumerator of Self-Dual Codes in the NRT-Metric
Welington Santos, Marcelo Muniz Silva Alves
In this paper we consider self-dual NRT-codes, that is, self-dual codes in the metric space endowed with the Niederreiter-Rosenbloom-Tsfasman (NRT-metric). We use polynomial invari…