Scholz–Brauer at Hamming Weight Seven

In this paper, we prove the Scholz-Brauer conjecture for all integers of Hamming Weight 7. There have been no previously known results for this case thus far. Our code and supporting artifacts can be found here: https://github.com/tarun-narra1/scholz-brauer

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-03
DOI
https://doi.org/10.5281/zenodo.18689316
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00
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article

Scholz–Brauer at Hamming Weight Seven

Zenodo (CERN European Organization for Nuclear Research)
Coding theory and cryptography
article

Scholz–Brauer at Hamming Weight Seven

article en

Abstract

In this paper, we prove the Scholz-Brauer conjecture for all integers of Hamming Weight 7. There have been no previously known results for this case thus far. Our code and supporting artifacts can be found here: https://github.com/tarun-narra1/scholz-brauer

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 52%
Coding theory and cryptography
DOIOpen Access PDFOpenAlex
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Scholz–Brauer at Hamming Weight Seven · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS