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Rotation Symmetric Bent Boolean Functions for n = 2p

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T. W. Cusick, E. M. Sanger

Information Theory · Submitted 30 Aug 2017

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

The authors' main claim We then prove most cases of the conjecture in n=2p, p>2 prime, variables and extend this work to the nonhomogeneous case.

how it is stated · asserted 1.00 read the record →

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arXiv ID1708.09313 (version 1)
Pith IDA6AGLWOH, Pith's permanent record of this paper and its review
CitationE. M. Sanger, T. W. Cusick. "Rotation Symmetric Bent Boolean Functions for n = 2p." arXiv:1708.09313 (2017). https://pith.science/paper/A6AGLWOH
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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, 2,914 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.58 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.38 · compares with prior results 0.40 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

It has been conjectured that there are no homogeneous rotation symmetric bent Boolean functions of degree greater than two. In this paper we begin by proving that sums of short-cycle rotation symmetric bent Boolean functions must contain a specific degree two monomial rotation symmetric Boolean function. We then prove most cases of the conjecture in n=2p, p>2 prime, variables and extend this work to the nonhomogeneous case.

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 It has been conjectured that there are no homogeneous rotation symmetric bent Boolean functions of degree greater than two. background 0.94 0.04 0.08 speculative 0.97
s1 In this paper we begin by proving that sums of short-cycle rotation symmetric bent Boolean functions must contain a specific degree two monomial rotation symmetric Boolean function. result 0.63 0.95 0.10 asserted 1.00
s2 We then prove most cases of the conjecture in n=2p, p>2 prime, variables and extend this work to the nonhomogeneous case. contribution 0.51 0.95 0.77 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

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • 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

It has been conjectured that there are no homogeneous rotation symmetric bent Boolean functions of degree greater than two. In this paper we begin by proving that sums of short-cycle rotation symmetric bent Boolean functions must contain a specific degree two monomial rotation symmetric Boolean function. We then prove most cases of the conjecture in n=2p, p>2 prime, variables and extend this work to the nonhomogeneous case.

Human review

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What this paper does with the arXiv papers it cites

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

What it cites · 1 sentence without a confident label

Contests 1 paper

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