Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Secret-sharing schemes and orthogonal systems of k-ary operations
Authors: Beliavscaia Galina
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Abstract
We suggest a general method of the construction of secret-sharing schemes based on orthogonal systems of partial (in particular, everywhere determined) k-ary ope\-rations which generalizes some known methods of the construction of such schemes by a finite fields and point the orthogonal systems of k-ary operations respecting to these known schemes. The different transformations of orthogonal systems of k-ary operations are reformulated and applied to orthogonal systems of polynomial k-ary operations over finite fields, in particular, to orthogonal systems corresponding to some known schemes.Fulltext
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Contents
- New fuzzy subquasigroups
- Vague Lie subalgebras over a vague field
- A probabilistic model of error-detecting codes based on quasigroups
- Pure ideals in ternary semigroups
- Secret-sharing schemes and orthogonal systems of k-ary operations
- Prolongations of quasigroups by middle translations
- Periodic quasigroup string transformations
- Skew endomorphisms on some n-ary groups
- Construction for subdirectly irreducible sloops of cardinality n2^m
- N-fuzzy quasi-ideals in ordered semigroups
- Generalized quadratic quasigroup equations with tree variables
- New primitives for digital signature algorithms
- Congruencies on an inverse AG**-groupoid via the natural partial order
