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A Geometric Approach to Rank Metric Codes and a Classification of Constant Weight Codes

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Tovohery Hajatiana Randrianarisoa

Information Theory · Submitted 9 Jul 2019

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

The authors' main claim We give a complete classification of constant rank weight code and we give their generalized rank weights.

how it is stated · asserted 1.00 read the record →

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arXiv ID1907.04372 (version 3)
Pith IDLYCPO6JJ, Pith's permanent record of this paper and its review
CitationTovohery Hajatiana Randrianarisoa. "A Geometric Approach to Rank Metric Codes and a Classification of Constant Weight Codes." arXiv:1907.04372 (2019). https://pith.science/paper/LYCPO6JJ
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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, 2,812 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.04 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.13 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

In this work we develop a geometric approach to the study of rank metric codes. Using this method, we introduce a simpler definition for generalized rank weight of linear codes. We give a complete classification of constant rank weight code and we give their generalized rank weights.

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 In this work we develop a geometric approach to the study of rank metric codes. contribution 0.95 0.94 0.07 asserted 0.99
s1 Using this method, we introduce a simpler definition for generalized rank weight of linear codes. contribution 0.76 0.95 0.10 asserted 1.00
s2 We give a complete classification of constant rank weight code and we give their generalized rank weights. result 0.60 0.96 0.69 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.62 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • arXiv listing abstract v3
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

In this work we develop a geometric approach to the study of rank metric codes. Using this method, we introduce a simpler definition for generalized rank weight of linear codes. We give a complete classification of constant rank weight code and we give their generalized rank weights.

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