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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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New Invariants for Rank Metric Codes, with Applications to the Classification of Rank Two Semifields of Order 256

  • 会议论文

  • 发表日期：

    2026年

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  • Jack Gilchrist,
  • Stefano Lia,
  • Arani Paul,
  • John Sheekey

摘要

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.