5 citations · 6 across the 7 of their papers we have counts for
18 papers · 1 filter
Influences of some families of error-correcting codes
Hailey Egan, Jason T. LeGrow, Gretchen L. Matthews +1
Binary codes of length may be viewed as subsets of vertices of the Boolean hypercube . The ability of a linear error-correcting code to recover erasures is connected…
Curve-lifted codes for local recovery using lines
Gretchen L. Matthews, Travis Morrison, Aidan W. Murphy
In this paper, we introduce curve-lifted codes over fields of arbitrary characteristic, inspired by Hermitian-lifted codes over . These codes are designed for loc…
Multishot Adversarial Network Decoding
Giuseppe Cotardo, Gretchen L. Matthews, Alberto Ravagnani +1
We investigate adversarial network coding and decoding focusing on the multishot regime. Errors can occur on a proper subset of the network edges and are modeled via an adversarial…
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…
Relative hulls and quantum codes
Sarah E. Anderson, Eduardo Camps-Moreno, Hiram H. López +3
Given two -ary codes and , the relative hull of with respect to is the intersection . We prove that when , the relative hull dimen…
Decreasing norm-trace codes
Cícero Carvalho, Hiram H. López, Gretchen L. Matthews
The decreasing norm-trace codes are evaluation codes defined by a set of monomials closed under divisibility and the rational points of the extended norm-trace curve. In particular…