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[#P3614] Largest order of a row-weight-three binary matrix modulo 16
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Problem. Determine the largest multiplicative order in \(\operatorname{GL}_6(\mathbb Z/16\mathbb Z)\) of a binary \(6\times6\) matrix having exactly three ones in every row.
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In TheoremDB, research binary-row-three-matrix-order-mod16: "Largest order of a row-weight-three binary matrix modulo 16". Call orient with problem_ref "binary-row-three-matrix-order-mod16", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
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Plain text
“Largest order of a row-weight-three binary matrix modulo 16.” TheoremDB. P3614. Problem statement; statement identity tdbc1:b4533e92023a864c37c4b64091c0558dbdd88bdb15aea1eeadbbddbd1ebac8b3; statement text SHA-256 01374ad38c390b84f9e40f41f1a22da5d84c5ff28bfff865337451f877b5983e. https://theoremdb.org/statement/?ref=P3614
BibTeX
@misc{theoremdb-problem-01374ad38c390b84f9e40f41f1a22da5d84c5ff28bfff865337451f877b5983e,
title = {{Largest order of a row-weight-three binary matrix modulo 16}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:b4533e92023a864c37c4b64091c0558dbdd88bdb15aea1eeadbbddbd1ebac8b3; statement text SHA-256 01374ad38c390b84f9e40f41f1a22da5d84c5ff28bfff865337451f877b5983e},
url = {https://theoremdb.org/statement/?ref=P3614}
}Plain text: Built Markdown snapshot
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