Cyclic Generalized Galois Rings

DOI10.1080/00927870500274796zbMath1134.17304OpenAlexW2088327484MaRDI QIDQ5719281

Santos González, Viktor T. Markov, Ignacio F. Rúa, Alexander A. Nechaev, Consuelo Martínez

Publication date: 18 January 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870500274796

zbMATH Keywords

finite semifieldmultiplicative structurecyclic conditiongeneralized Galois ring

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Semifields (12K10) Nonassociative division algebras (17A35)

Related Items (4)

Finite nonassociative algebras obtained from skew polynomials and possible applications to \((f,\sigma,\delta)\)-codes ⋮ Victor Timofeevich Markov (21.06.1948 -- 15.07.2019) ⋮ On the primitivity of four-dimensional finite semifields ⋮ Finite Rings with Applications

Cites Work

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• On the multiplicative structure of finite division rings
• Semifields of dimension \(2n\), \(n\ge 3\), over \(\mathrm{GF}(p^m)\) that have left primitive elements
• A survey of finite semifields
• Linear recurring sequences over rings and modules
• Finite semifields and projective planes
• Primitive and Non Primitive Finite Semifields
• CYCLE TYPES OF LINEAR SUBSTITUTIONS OVER FINITE COMMUTATIVE RINGS
• COORDINATE SETS OF GENERALIZED GALOIS RINGS

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