Computing skew left braces of small orders

Valeriy Georgievich Bardakov, Mikhail Vladimirovich Neshchadim, Manoj K. Yadav · International Journal of Algebra and Computation · 2019

We improve Algorithm 5.1 of [Math. Comp. 86 (2017) 2519–2534] for computing all nonisomorphic skew left braces, and enumerate left braces and skew left braces of orders up to 868 with some exceptions. Using the enumerated data, we state some conjectures for further research.

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