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A Study of the Separating Property in Reed-Solomon Codes by Bounding the Minimum Distance

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Marcel Fernandez, Jorge Urroz

Information Theory · Submitted 3 Mar 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We establish values of the minimum distance for which Reed-Solomon codes do not posses the separating property.

how it is stated · asserted 1.00 read the record →

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arXiv ID2103.02341 (version 1)
Pith IDMTGGUN73, Pith's permanent record of this paper and its review
CitationJorge Urroz, Marcel Fernandez. "A Study of the Separating Property in Reed-Solomon Codes by Bounding the Minimum Distance." arXiv:2103.02341 (2021). https://pith.science/paper/MTGGUN73
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,746 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.37 · compares with prior results 0.51 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

According to their strength, the tracing properties of a code can be categorized as frameproof, separating, IPP and TA. It is known that if the minimum distance of the code is larger than a certain threshold then the TA property implies the rest. Silverberg et al. ask if there is some kind of tracing capability left when the minimum distance falls below the threshold. Under different assumptions, several papers have given a negative answer to the question. In this paper further progress is made. We establish values of the minimum distance for which Reed-Solomon codes do not posses the separating property.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 According to their strength, the tracing properties of a code can be categorized as frameproof, separating, IPP and TA. background 1.00 0.05 0.02 asserted 1.00
s1 It is known that if the minimum distance of the code is larger than a certain threshold then the TA property implies the rest. background 1.00 0.04 0.03 asserted 1.00
s2 Silverberg et al. ask if there is some kind of tracing capability left when the minimum distance falls below the threshold. gap 0.57 0.03 0.02 asserted 0.50
s3 Under different assumptions, several papers have given a negative answer to the question. background 0.94 0.03 0.02 asserted 1.00
s4 In this paper further progress is made. contribution 0.85 0.49 0.03 asserted 0.69
s5 We establish values of the minimum distance for which Reed-Solomon codes do not posses the separating property. result 0.82 0.96 0.93 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

According to their strength, the tracing properties of a code can be categorized as frameproof, separating, IPP and TA. It is known that if the minimum distance of the code is larger than a certain threshold then the TA property implies the rest. Silverberg et al. ask if there is some kind of tracing capability left when the minimum distance falls below the threshold. Under different assumptions, several papers have given a negative answer to the question. In this paper further progress is made. We establish values of the minimum distance for which Reed-Solomon codes do not posses the separating property.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites as background 1 paper

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