scholarly journals Matrix algebras with a certain compression property I

2021 ◽  
Vol 621 ◽  
pp. 50-85 ◽  
Author(s):  
Zachary Cramer ◽  
Laurent W. Marcoux ◽  
Heydar Radjavi
Keyword(s):  
Compression Property ◽  
Matrix Algebras

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.

scholarly journals Iterants, Majorana Fermions and the Majorana-Dirac Equation

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1373
Author(s):  
Louis H. Kauffman
Keyword(s):  
Dirac Equation ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Clifford Algebras ◽  
Discrete Systems ◽  
Complex Numbers ◽  
Majorana Fermions ◽  
Matrix Algebras ◽  
Dirac Equations ◽  
Points Of View

This paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Clifford algebras and matrix algebras. The paper discusses the structure of the Schrödinger equation, the Dirac equation and the Majorana Dirac equations, finding solutions via the nilpotent method initiated by Peter Rowlands.

scholarly journals Compression property of hierarchical pyramid lattice

2020 ◽  
Vol 1635 ◽  
pp. 012108
Author(s):  
Liu Tao ◽  
Guodong Zhu ◽  
Yang Na ◽  
Jianfeng Wang
Keyword(s):  
Compression Property

scholarly journals Lattice-Ordered Matrix Algebras Over Real GCD-Domains

2013 ◽  
Vol 41 (6) ◽  
pp. 2109-2113
Author(s):  
Fei Li ◽  
Xianlong Bai ◽  
Derong Qiu
Keyword(s):  
Matrix Algebras

The length function and matrix algebras

2013 ◽  
Vol 193 (5) ◽  
pp. 687-768 ◽  
Author(s):  
O. V. Markova
Keyword(s):  
Length Function ◽  
Matrix Algebras
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