Kernel-checked Lean 4 certificates for finite constructions: optimization constants 1a, 1c, 1d and 49, Ramsey colourings, covering designs and binary codes

Kernel-checked Lean 4 proofs of bounds and properties of explicit finite constructions: the autocorrelation constant C1a, the signed constant C1d, replays of tracker entries 1c, 1d and 49, seven two-colourings of complete graphs, forty covering designs and thirty-one binary linear codes. Every input is identified by URL, commit and SHA-256.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23859749
Primary Topic
Logic, programming, and type systems
Type
preprint
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preprint

Kernel-checked Lean 4 certificates for finite constructions: optimization constants 1a, 1c, 1d and 49, Ramsey colourings, covering designs and binary codes

Advatiya Thalluri
5 links
Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
preprint

Kernel-checked Lean 4 certificates for finite constructions: optimization constants 1a, 1c, 1d and 49, Ramsey colourings, covering designs and binary codes

Advatiya Thalluri
preprint en

Abstract

Kernel-checked Lean 4 proofs of bounds and properties of explicit finite constructions: the autocorrelation constant C1a, the signed constant C1d, replays of tracker entries 1c, 1d and 49, seven two-colourings of complete graphs, forty covering designs and thirty-one binary linear codes. Every input is identified by URL, commit and SHA-256.

Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
DOIOpen Access PDFOpenAlex
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Kernel-checked Lean 4 certificates for finite constructions: optimization constants 1a, 1c, 1d and 49, Ramsey colourings, covering designs and binary codes — Advatiya Thalluri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS