The Number of Irreducible Polynomials and Lyndon Words with Given Trace

2001 ◽  
Vol 14 (2) ◽  
pp. 240-245 ◽  
Author(s):  
F. Ruskey ◽  
C. R. Miers ◽  
J. Sawada
Keyword(s):  
Irreducible Polynomials ◽  
Lyndon Words

scholarly journals A new class of irreducible polynomials

2021 ◽  
pp. 1-6
Author(s):  
Jitender Singh ◽  
Sanjeev Kumar
Keyword(s):  
Irreducible Polynomials ◽  
New Class

Composite values of irreducible polynomials

2019 ◽  
Vol 74 (1) ◽  
pp. 36-37
Author(s):  
Franz Lemmermeyer
Keyword(s):  
Irreducible Polynomials

scholarly journals Sturmian words, Lyndon words and trees

1997 ◽  
Vol 178 (1-2) ◽  
pp. 171-203 ◽  
Author(s):  
Jean Berstel ◽  
Aldo de Luca
Keyword(s):  
Sturmian Words ◽  
Lyndon Words

scholarly journals DETERMINING EQUATIONS FOR HIGHER-ORDER DECOMPOSITIONS OF EXPONENTIAL OPERATORS

1995 ◽  
Vol 09 (25) ◽  
pp. 3241-3268 ◽  
Author(s):  
ZENGO TSUBOI ◽  
MASUO SUZUKI
Keyword(s):  
General Scheme ◽  
Higher Order ◽  
Explicit Formulas ◽  
Decomposition Theory ◽  
Lyndon Words

The general decomposition theory of exponential operators is briefly reviewed. A general scheme to construct independent determining equations for the relevant decomposition parameters is proposed using Lyndon words. Explicit formulas of the coefficients are derived.

scholarly journals Multiplicative groups of fields and hereditarily irreducible polynomials

2016 ◽  
Vol 168 ◽  
pp. 452-471
Author(s):  
Alice Medvedev ◽  
Ramin Takloo-Bighash
Keyword(s):  
Irreducible Polynomials ◽  
Multiplicative Groups

Construction of hash functions based on theory of finite fields with the use of irreducible polynomials

2021 ◽  
Vol 143 (2) ◽  
pp. 66-76
Author(s):  
U.K. Turusbekova ◽  
◽  
S.A. Altynbek ◽  
A.S. Turginbayeva ◽  
L. Mereikhan ◽  
...  
Keyword(s):  
Finite Fields ◽  
Hash Functions ◽  
Irreducible Polynomials

Construction of Irreducible Polynomials

1993 ◽  
pp. 39-68
Author(s):  
Ian F. Blake ◽  
XuHong Gao ◽  
Ronald C. Mullin ◽  
Scott A. Vanstone ◽  
Tomik Yaghoobian
Keyword(s):  
Irreducible Polynomials
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