Harry Sha

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cs.IT2025

High Rate Multivariate Polynomial Evaluation Codes

Swastik Kopparty, Mrinal Kumar, Harry Sha

The classical Reed-Muller codes over a finite field $F_{q}$ are based on evaluations of $m$ -variate polynomials of degree at most $d$ over a product set $U^{m}$ , for some $d$ …

cs.IT2024

Error-Correcting Graph Codes

Swastik Kopparty, Aditya Potukuchi, Harry Sha

In this paper, we construct Error-Correcting Graph Codes. An error-correcting graph code of distance $I^´$ is a family $C$ of graphs on a common vertex set of size $n$ , such that if…