6 papers
Binary Triorthogonal and CSS-T Codes for Quantum Error Correction
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +3
In this paper, we study binary triorthogonal codes and their relation to CSS-T quantum codes. We characterize the binary triorthogonal codes that are minimal or maximal with respec…
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…
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…
Codes for distributed storage from 3-regular graphs
Shuhong Gao, Fiona Knoll, Felice Manganiello +1
This paper considers distributed storage systems (DSSs) from a graph theoretic perspective. A DSS is constructed by means of the path decomposition of a 3- regular graph into P4 pa…