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REPORTS > KEYWORD > FOLDED REED SOLOMON CODES:
Reports tagged with Folded Reed Solomon Codes:
TR08-054 | 13th May 2008
Venkatesan Guruswami, Atri Rudra

#### Concatenated codes can achieve list-decoding capacity

We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes achieve the list-decoding capacity with high probability. In particular, for any $0 < \rho < 1/2$ and $\epsilon > 0$, there exist concatenated codes of ... more >>>

TR18-091 | 4th May 2018
Swastik Kopparty, Noga Ron-Zewi, Shubhangi Saraf, Mary Wootters

#### Improved decoding of Folded Reed-Solomon and Multiplicity Codes

Revisions: 1

In this work, we show new and improved error-correcting properties of folded Reed-Solomon codes and multiplicity codes. Both of these families of codes are based on polynomials over finite fields, and both have been the sources of recent advances in coding theory. Folded Reed-Solomon codes were the first explicit constructions ... more >>>

TR21-025 | 15th February 2021
Sivakanth Gopi, Venkatesan Guruswami

#### Improved Maximally Recoverable LRCs using Skew Polynomials

An $(n,r,h,a,q)$-Local Reconstruction Code is a linear code over $\mathbb{F}_q$ of length $n$, whose codeword symbols are partitioned into $n/r$ local groups each of size $r$. Each local group satisfies $a$' local parity checks to recover from $a$' erasures in that local group and there are further $h$ global parity ... more >>>

TR21-036 | 14th March 2021
Siddharth Bhandari, Prahladh Harsha, Mrinal Kumar, Madhu Sudan

#### Ideal-theoretic Explanation of Capacity-achieving Decoding

In this work, we present an abstract framework for some algebraic error-correcting codes with the aim of capturing codes that are list-decodable to capacity, along with their decoding algorithm. In the polynomial ideal framework, a code is specified by some ideals in a polynomial ring, messages are polynomials and their ... more >>>

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