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20092026
most citedA family of optimal locally recoverable codes

618 citations · 1.2k across the 56 of their papers we have counts for

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Showing 2023 · cs.ITShow all

5 papers · 2 filters

cs.IT2023

Tighter List-Size Bounds for List-Decoding and Recovery of Folded Reed-Solomon and Multiplicity Codes

Itzhak Tamo

Folded Reed-Solomon (FRS) and univariate multiplicity codes are prominent polynomial codes over finite fields, renowned for achieving list decoding capacity. These codes have found…

cs.IT2023★ 1 cited

Points-Polynomials Incidence Theorem with Applications to Coding Theory

Itzhak Tamo

This paper focuses on incidences over finite fields, extending to higher degrees a result by Vinh \cite{VINH20111177} on the number of point-line incidences in the plane $\mathbb{F…

cs.IT2023

Optimal Two-Dimensional Reed--Solomon Codes Correcting Insertions and Deletions

Roni Con, Amir Shpilka, Itzhak Tamo

Constructing Reed--Solomon (RS) codes that can correct insertions and deletions (insdel errors) has been considered in numerous recent works. For the special case of two-dimensiona…

cs.IT2023

Efficient Algorithms for Constructing Minimum-Weight Codewords in Some Extended Binary BCH Codes

Amit Berman, Yaron Shany, Itzhak Tamo

We present algorithms for specifying the support of minimum-weight words of extended binary BCH codes of length and designed distance $d(m,s,i):=2^{m-1-s}-2^{m-1-i…

cs.IT2023

Access-Redundancy Tradeoffs in Quantized Linear Computations

Vinayak Ramkumar, Netanel Raviv, Itzhak Tamo

Linear real-valued computations over distributed datasets are common in many applications, most notably as part of machine learning inference. In particular, linear computations th…