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A new family of one-coincidence sets of sequences with dispersed elements for frequency hopping CDMA systems

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Lenny Fukshansky, Ahmad Adib Shaar

Information Theory · Submitted 18 Jan 2017

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

The authors' main claim We present a new family of one-coincidence sequence sets suitable for frequency hopping code division multiple access (FH-CDMA) systems with dispersed (low density) sequence elements.

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arXiv ID1701.05209 (version 2)
Pith IDTZIM3RGF, Pith's permanent record of this paper and its review
CitationAhmad Adib Shaar, Lenny Fukshansky. "A new family of one-coincidence sets of sequences with dispersed elements for frequency hopping CDMA systems." arXiv:1701.05209 (2017). https://pith.science/paper/TZIM3RGF
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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, 4,221 input tokens.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.17 · human participants 0.02 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.20 · compares with prior results 0.35 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We present a new family of one-coincidence sequence sets suitable for frequency hopping code division multiple access (FH-CDMA) systems with dispersed (low density) sequence elements. These sets are derived from one-coincidence prime sequence sets, such that for each one-coincidence prime sequence set there is a new one-coincidence set comprised of sequences with dispersed sequence elements, required in some circumstances, for FH-CDMA systems. Getting rid of crowdedness of sequence elements is achieved by doubling the size of the sequence element alphabet. In addition, this doubling process eases control over the distance between adjacent sequence elements. Properties of the new sets are discussed.

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 We present a new family of one-coincidence sequence sets suitable for frequency hopping code division multiple access (FH-CDMA) systems with dispersed (low density) sequence elements. contribution 1.00 0.94 0.52 asserted 1.00
s1 These sets are derived from one-coincidence prime sequence sets, such that for each one-coincidence prime sequence set there is a new one-coincidence set comprised of sequences with dispersed sequence elements, required in some circumstances, for FH-CDMA systems. method 0.56 0.90 0.40 asserted 1.00
s2 Getting rid of crowdedness of sequence elements is achieved by doubling the size of the sequence element alphabet. method 0.96 0.81 0.15 asserted 1.00
s3 In addition, this doubling process eases control over the distance between adjacent sequence elements. result 0.49 0.78 0.07 asserted 0.97
s4 Properties of the new sets are discussed. contribution 0.93 0.71 0.05 unclear 0.54

What kind of paper the classifier reports this is: method or tool 0.87 · evidence from proof or derivation 0.96.

What was examined, and what was not

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  • T body sentences
  • C citations
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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

We present a new family of one-coincidence sequence sets suitable for frequency hopping code division multiple access (FH-CDMA) systems with dispersed (low density) sequence elements. These sets are derived from one-coincidence prime sequence sets, such that for each one-coincidence prime sequence set there is a new one-coincidence set comprised of sequences with dispersed sequence elements, required in some circumstances, for FH-CDMA systems. Getting rid of crowdedness of sequence elements is achieved by doubling the size of the sequence element alphabet. In addition, this doubling process eases control over the distance between adjacent sequence elements. Properties of the new sets are discussed.

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