Classification of 8-Dimensional Trilinear Alternating Forms over GF(2)

DOI10.1080/00927872.2014.927475zbMath1322.15012OpenAlexW1547762190MaRDI QIDQ5501072

Jan Hora, Pavel Pudlák

Publication date: 11 August 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.927475

zbMATH Keywords

finite fieldtensor productsmultilinear algebratrilinear alternating formradical polynomial

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69)

Related Items (5)

Practical post-quantum signature schemes from isomorphism problems of trilinear forms ⋮ Trilinear alternating forms and related CMLs and GECs ⋮ Graph-theoretic algorithms for the alternating trilinear form equivalence problem ⋮ Code loops in dimension at most \(8\) ⋮ Classification of 9-dimensional trilinear alternating forms over \(\mathrm{GF}(2)\)

Cites Work

• Classification of trivectors of an eight-dimensional real vector space
• Trilinear alternating forms on a vector space of dimension 7
• Transvecteur de rang 8 sur un corps algébriquement clos
• Orthogonal decompositions and canonical embeddings of multilinear alternating forms
• Trilinear alternating forms on a vector space of dimension 8 over a finite field

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