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Communications in Algebra Volume 32, 2004 - Issue 2
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Original Articles

Primitive and Non Primitive Finite Semifields

I. F. Rúa Departamento de Matemáticas, Universidad de Oviedo, Oviedo, Spain; Departamento de Matemáticas, Universidad de Oviedo, C/Calvo Sotelo s/n, 33007, Oviedo, SpainCorrespondence[email protected]
Pages 793-803 | Received 01 Sep 2002, Accepted 01 Mar 2003, Published online: 01 Feb 2007

Citations (16)

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Read on this site (5)

Gregory P. Wene. (2017) Semifields antiisomorphic to themselves. Communications in Algebra 45:3, pages 967-970.
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I.F. Rúa & E.F. Combarro. (2012) Commutative Semifields of Order 35 . Communications in Algebra 40:3, pages 988-996.
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Elías F. Combarro, I. F. Rúa & J. Ranilla. (2011) New advances in the computational exploration of semifields. International Journal of Computer Mathematics 88:9, pages 1990-2000.
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G. P. Wene & IrvinR. Hentzel. (2010) Albert's Construction for Semifields of Even Order. Communications in Algebra 38:5, pages 1790-1795.
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S. González, C. Martínez, V. T. Markov, A. A. Nechaev & I. F. Rúa. (2005) Cyclic Generalized Galois Rings. Communications in Algebra 33:12, pages 4467-4478.
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Articles from other publishers (11)

Gregory P. Wene. (2018) Some recent directions in finite semifields. Journal of Knot Theory and Its Ramifications 27:07, pages 1841014.
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I. F. Rúa. (2016) Primitive semifields of order $$2^{4e}$$ 2 4 e. Designs, Codes and Cryptography 83:2, pages 345-356.
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Gregory P. Wene. Finite semifields: A brief history and current directions. Finite semifields: A brief history and current directions.
I.F. Rúa. (2015) On the primitivity of four-dimensional finite semifields. Finite Fields and Their Applications 33, pages 212-229.
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Michel Lavrauw. (2012) Finite semifields and nonsingular tensors. Designs, Codes and Cryptography 68:1-3, pages 205-227.
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Gary L. Mullen & Daniel Panario. 2013. Handbook of Finite Fields. Handbook of Finite Fields 777 860 .
I.F. Rúa, Elías F. Combarro & J. Ranilla. (2012) Determination of division algebras with 243 elements. Finite Fields and Their Applications 18:6, pages 1148-1155.
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Olga Polverino & Rocco Trombetti. (2011) Fractional dimension of binary Knuth semifield planes. Journal of Combinatorial Designs 20:7, pages 317-327.
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Rod Gow & John Sheekey. (2011) On primitive elements in finite semifields. Finite Fields and Their Applications 17:2, pages 194-204.
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Alexandr A. Nechaev. 2008. 213 320 .
I. R. HENTZEL & I. F. RÚA. (2011) PRIMITIVITY OF FINITE SEMIFIELDS WITH 64 AND 81 ELEMENTS. International Journal of Algebra and Computation 17:07, pages 1411-1429.
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