Field Theory

Semifields and Near-fields

12Kxx

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  2. Robert S. Coulter and Marie Henderson, Commutative presemifields and semifields, Adv. Math. 217 (2008), no. 1, 282–304.[MR]
  3. Robert S. Coulter, Marie Henderson, and Pamela Kosick, Planar polynomials for commutative semifields with specified nuclei, Des. Codes Cryptogr. 44 (2007), no. 1-3, 275–286.[MR]
  4. G. L. Ebert, O. Polverino, G. Marino, and R. Trombetti, Semifields in class F4(a), Electron. J. Combin. 16 (2009), no. 1, 20.[MR]
  5. Gary L. Ebert, Giuseppe Marino, Olga Polverino, and Rocco Trombetti, On the multiplication of some semifields of order q6, Finite Fields Appl. 15 (2009), no. 2, 160–173.[MR]
  6. Jill Hanson and Michael J. Kallaher, Finite Bol quasifields are nearfields, Utilitas Math. 37 (1990), 45–64.[MR]
  7. K. J. Horadam and D. G. Farmer, Bundles, presemifields and nonlinear functions, Des. Codes Cryptogr. 49 (2008), no. 1-3, 79–94.[MR]
  8. Norman L. Johnson, Giuseppe Marino, Olga Polverino, and Rocco Trombetti, On a generalization of cyclic semifields, J. Algebraic Combin. 29 (2009), no. 1, 1–34.[MR/doi]
  9. Giuseppe Marino and Rocco Trombetti, A new semifield of order 210, Discrete Math. 310 (2010), no. 22, 3108–3113.
  10. I. F. Rúa, Elías F. Combarro, and J. Ranilla, Classification of semifields of order 64, J. Algebra 322 (2009), no. 11, 4011–4029.[MR/doi]