scholarly journals Application of non-associative structures for construction of homomorphic cryptosystems

2020 ◽  
Vol 11 (3) ◽  
pp. 31-39
Author(s):  
Sergey Yur'evich Katyshev ◽  
A. V. Zyazin ◽  
Andrei Vladimirovich Baryshnikov
Keyword(s):  
Associative Structures

Гомоморфное шифрование позволяет выполнять некоторые математические преобразования с шифрованным текстом, в результате которых получается шифрованный текст, соответствующий результату выполнения заданного преобразования открытого текста. Известны так называемые полностью гомоморфные и частично гомоморфные шифрсистемы, различающиеся количеством допустимых для выполнения преобразований. Для построения подобных шифрсистем необходимо иметь гомоморфизм относительно хотя бы одной из выполняемых операций. В работе с использованием неассоциативных операций и системы Эль-Гамаля построен пример шифрсистемы, гомоморфной относительно двух выполняемых операций: групповой и квазигрупповой.

Differences in the Associative Structures of Serial and Simultaneous Negative Features

1992 ◽  
Author(s):  
Steve C. Hallam ◽  
Nicholas J. Grahame ◽  
Robert C. Barnet ◽  
Ralph R. Miller
Keyword(s):  
Associative Structures

Notes on three-pass protocol

2020 ◽  
Vol 25 (4) ◽  
pp. 4-9
Author(s):  
Yerzhan R. Baissalov ◽  
Ulan Dauyl
Keyword(s):  
Finite Fields ◽  
Matrix Algebras ◽  
Associative Structures

The article discusses primitive, linear three-pass protocols, as well as three-pass protocols on associative structures. The linear three-pass protocols over finite fields and the three-pass protocols based on matrix algebras are shown to be cryptographically weak.

Search processes for associative structures in long-term memory.

1975 ◽  
Vol 104 (2) ◽  
pp. 103-121 ◽  
Author(s):  
Richard C. Mohs ◽  
Keith T. Wescourt ◽  
Richard C. Atkinson
Keyword(s):  
Long Term Memory ◽  
Term Memory ◽  
Search Processes ◽  
Associative Structures

Non-Associative Structures

1995 ◽  
pp. 197-280 ◽  
Author(s):  
E. N. Kuz’min ◽  
I. P. Shestakov
Keyword(s):  
Associative Structures

The dynamics of language

1999 ◽  
Vol 22 (2) ◽  
pp. 284-285
Author(s):  
Peter W. Culicover ◽  
Andrzej Nowak
Keyword(s):  
Phase Space ◽  
Dynamical Systems ◽  
Simple Model ◽  
Syntactic Structure ◽  
Neural Assemblies ◽  
Systems Perspective ◽  
Model Based ◽  
Associative Structures

To deal with syntactic structure, one needs to go beyond a simple model based on associative structures, and to adopt a dynamical systems perspective, where each phrase and sentence of a language is represented as a trajectory in a syntactic phase space. Neural assemblies could possibly be used to produce dynamics that in principle could handle syntax along these lines.

The Interaction between Discriminative Stimuli and Outcomes during Instrumental Learning

2003 ◽  
Vol 56 (1b) ◽  
pp. 127-139 ◽  
Author(s):  
Anthony Dickinson ◽  
Sanne de Wit
Keyword(s):  
Sucrose Solution ◽  
Food Pellet ◽  
Instrumental Learning ◽  
The Other ◽  
Food Type ◽  
Instrumental Performance ◽  
Stimulus Function ◽  
Associative Structures ◽  
Congruent Group ◽  
Biconditional Discrimination

Rats were trained on a biconditional discrimination in which the delivery of a food pellet stimulus signalled that pressing on one of two levers would be reinforced, whereas the delivery of a sucrose solution stimulus signalled that the reward was contingent on pressing the other lever. The outcome was the same food type as the discriminative stimulus in the congruent group but the other food type in the incongruent group. Both responses were rewarded with the same outcome in the same group. All the three groups learned the discrimination at statistically indistinguishable rates. Prefeeding one of the outcomes selectively reduced the associated response thereby demonstrating that responding was mediated by a representation of the outcome. Moreover, the outcome of one trial controlled responding on the next trial in accord with the stimulus function of the food type. These results are discussed in relation to the associative structures mediating the discriminative control of instrumental performance.

scholarly journals QUANTUM BI-HAMILTONIAN SYSTEMS

2000 ◽  
Vol 15 (30) ◽  
pp. 4797-4810 ◽  
Author(s):  
JOSÉ F. CARIÑENA ◽  
JANUSZ GRABOWSKI ◽  
GIUSEPPE MARMO
Keyword(s):  
Harmonic Oscillator ◽  
Hamiltonian Systems ◽  
Operator Algebras ◽  
Classical Case ◽  
Associative Structures

We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associative structures. We find such structures by means of the associative version of Nijenhuis tensors. Explicit examples, e.g. for the harmonic oscillator, are given.

Associative structures in animal learning: Dissociating elemental and configural processes

2014 ◽  
Vol 108 ◽  
pp. 96-103 ◽  
Author(s):  
Robert C. Honey ◽  
Mihaela D. Iordanova ◽  
Mark Good
Keyword(s):  
Animal Learning ◽  
Associative Structures

TERNARY AND NON-ASSOCIATIVE STRUCTURES

2008 ◽  
Vol 05 (08) ◽  
pp. 1265-1294 ◽  
Author(s):  
RICHARD KERNER
Keyword(s):  
Theoretical Models ◽  
Mathematical Physics ◽  
Algebraic Structures ◽  
Associative Structures ◽  
To Come

We discuss ternary algebraic structures appearing in various domains of theoretical and mathematical physics. Some of them are associative, and some are not. Their interesting and curious properties can be exploited in future applications to enlarged and generalized field theoretical models in the years to come. Many ideas presented here have been developed and clarified in countless discussions with Michel Dubois-Violette.

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