Few associative triples, isotopisms and groups

作者：Drapal Ales^*; Valent Viliam

来源：Designs, Codes and Cryptography, 2018, 86(3): 555-568.

DOI：10.1007/s10623-017-0341-9

• Quasigroup
• Associative triple
• Associativity index
• Isotope
• Hash function

Let Q be a quasigroup. For let be the principal isotope . Put and assume that . Then , and for every there is , where . If G is a group and is an orthomorphism, then for every . A detailed case study of is made for the situation when , and both and are "natural" near-orthomorphisms. Asymptotically, if G is an abelian group of order n. Computational results: and , where . There are also determined minimum values for a(G(alpha,beta)), G a group of order <= 8.

• 出版日期2018-3