Classification of 64-element finite semifields
classification
🧮 math.RA
math.CO
keywords
finitesemifieldsclassificationelementclosedcompletescomputer-assisteddescription
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A finite semifield $D$ is a finite nonassociative ring with identity such that the set $D^*=D\setminus\{0\}$ is closed under the product. In this paper we obtain a computer-assisted description of all 64-element finite semifields, which completes the classification of finite semifields of order 125 or less.
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