On some subgroups of the multiplicative group of finite rings

DOI10.5802/jtnb.445zbMath1078.11069OpenAlexW1976001734MaRDI QIDQ558195

José Felipe Voloch

Publication date: 30 June 2005

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2004__16_1_233_0

zbMATH Keywords

polynomial ringsprimality testinglinear polynomials

Mathematics Subject Classification ID

Arithmetic theory of polynomial rings over finite fields (11T55) Primality (11Y11)

Related Items (11)

Sharper \(ABC\)-based bounds for congruent polynomials ⋮ It is easy to determine whether a given integer is prime ⋮ Unnamed Item ⋮ Bell numbers modulo a prime number, traces and trinomials ⋮ The dynamics of permutations on irreducible polynomials ⋮ Elements of high order in Artin-Schreier extensions of finite fields \(\mathbb{F}_q\) ⋮ MULTIPLICATIVE ORDER OF GAUSS PERIODS ⋮ Elliptic periods and primality proving ⋮ Existence results on \(k\)-normal elements over finite fields ⋮ On the construction of finite field elements of large order ⋮ Proving primality in essentially quartic random time

Cites Work

• Unnamed Item
• Unnamed Item
• Sharper \(ABC\)-based bounds for congruent polynomials
• Factoring polynomials in finite fields: An application of Lang-Weil to a problem in graph theory
• Polynomial factorisation and an application to regular directed graphs
• Primality testing with Gaussian periods
• PRIMES is in P
• Diameters and Eigenvalues
• Arithmetic properties of Bell numbers to a composite modulus I
• Jacobians of curves over finite fields

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