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arXiv · 2605.23681

New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256

Jack Gilchrist·Stefano Lia·Arani Paul·John Sheekey
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Abstract

In this paper we completely classify semifields of order $2^8=256$ containing a nucleus of order $2^4=16$. We introduce new invariants for semifields, and apply new computational techniques for calculating old invariants. Together these make the computational classification significantly quicker.

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Jack Gilchrist, Stefano Lia, Arani Paul, John Sheekey. 2026-05-22. New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256. https://arxiv.org/abs/2605.23681

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