We obtain the PORC formulae for the number of non-associative algebras of dimension 2, 3 and 4 over the finite field GF$(q)$. We also give some asymptotic bounds for the number of algebras of dimension $n$ over GF$(q)$.
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Vaughan-Lee, M. (2013). Enumerating algebras over a finite field. International Journal of Group Theory, 2(3), 49-61. doi: 10.22108/ijgt.2013.2440
MLA
Vaughan-Lee, M. . "Enumerating algebras over a finite field", International Journal of Group Theory, 2, 3, 2013, 49-61. doi: 10.22108/ijgt.2013.2440
HARVARD
Vaughan-Lee, M. (2013). 'Enumerating algebras over a finite field', International Journal of Group Theory, 2(3), pp. 49-61. doi: 10.22108/ijgt.2013.2440
CHICAGO
M. Vaughan-Lee, "Enumerating algebras over a finite field," International Journal of Group Theory, 2 3 (2013): 49-61, doi: 10.22108/ijgt.2013.2440
VANCOUVER
Vaughan-Lee, M. Enumerating algebras over a finite field. International Journal of Group Theory, 2013; 2(3): 49-61. doi: 10.22108/ijgt.2013.2440