(Re)constructing Code Loops

DOI10.1080/00029890.2021.1852047zbMath1473.20071arXiv1903.02748OpenAlexW3133312792MaRDI QIDQ5150907

Ben Nagy, David Michael Roberts

Publication date: 16 February 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02748

zbMATH Keywords

computational methodsMoufang loopsreconstructing code loops

Mathematics Subject Classification ID

Cryptography (94A60) Loops, quasigroups (20N05)

Uses Software

• LOOPS
• GitHub

Cites Work

• Unnamed Item
• Code loops in dimension at most \(8\)
• A series of algebras generalizing the octonions and Hurwitz-Radon identity
• Moufang loops with a unique nonidentity commutator (associator, square)
• Direct construction of code loops.
• A simple construction for the Fischer-Griess monster group
• Code loops
• Sporadic groups, code loops and nonvanishing cohomology
• Zur Struktur von Alternativkörpern
• Integral Cayley numbers
• Moufang Loops of Small Order. I
• Explicit constructions of code loops as centrally twisted products