1 citations · 1 across the 5 of their papers we have counts for
7 papers
A Group Theoretic Construction of Batch Codes
Eldho K. Thomas
Batch codes serve as critical tools for load balancing in distributed storage systems. While numerous constructions exist for specific batch sizes t, current methodologies predomin…
Batch Codes for Asynchronous Recovery of Data
Ago-Erik Riet, Vitaly Skachek, Eldho K. Thomas
We propose a new model of asynchronous batch codes that allow for parallel recovery of information symbols from a coded database in an asynchronous manner, i.e. when queries arrive…
Polar Coding for the Binary Erasure Channel with Deletions
Eldho K. Thomas, Vincent Y. F. Tan, Alexander Vardy +1
We study the application of polar codes in deletion channels by analyzing the cascade of a binary erasure channel (BEC) and a deletion channel. We show how polar codes can be used…
Explicit Constructions and Bounds for Batch Codes with Restricted Size of Reconstruction Sets
Eldho K. Thomas, Vitaly Skachek
Linear batch codes and codes for private information retrieval (PIR) with a query size and a restricted size of the reconstruction sets are studied. New bounds on the param…
On Group Violations of Inequalities in five Subgroups
Nadya Markin, Eldho K. Thomas, Frederique Oggier
We consider ten linear rank inequalities, which always hold for ranks of vector subspaces, and look at them as group inequalities. We prove that groups of order pq, for p,q two dis…
Explicit Constructions of Quasi-Uniform Codes from Groups
Eldho K. Thomas, Frederique Oggier
We address the question of constructing explicitly quasi-uniform codes from groups. We determine the size of the codebook, the alphabet and the minimum distance as a function of th…