Enumerating algebras over a finite field

نویسندگان
doi
10.22108/ijgt.2013.2440
چکیده

‎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$(q)$‎.