IMCS/Publications/QRS/Issues/QRS v.20, n.2 (28), 2012/

Recursively r-differentiable quasigroups within S-systems and MDS-codes

Authors: Beliavscaia Galina


We study recursively r-differentiable binary quasigroups and such quasigroups with an additional property (strongly recursively r-differentiable quasigroups). These quasigroups we find in S-systems of quasigroups and give a lower bound of the parameters of idempotent 2-recursive MDS-codes that respect to strongly recursively r-differentiable quasigroups. Some illustrative examples are given.


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