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Type: Artigo de periódico
Title: On complete arcs arising from plane curves
Author: Giulietti, M
Pambianco, F
Torres, F
Ughi, E
Abstract: We point out an interplay between F-q,-Frobenius non-classical plane curves and complete (k, d)-arcs in P-2( F-q). A typical example that shows how this works is the one concerning an Hermitian curve. We present some other examples here which give rise to the existence of new complete (k, d)-arcs with parameters k = d(q - d + 2) and d = (q - 1)/(q' - 1), q' being a power of the characteristic. In addition, for q a square, new complete (k, d)-arcs with either k = qrootqb + 1 and d = (rootq + 1)b(2 less than or equal to b less than or equal to rootq - 1) or k = (q - 1)\rootqb + rootq + 1 and d = (rootq +1)b(2 less than or equal to b less than or equal to rootq - 2) are constructed by using certain reducible plane curves.
Subject: projective planes
non-classical plane curves
Country: Holanda
Editor: Kluwer Academic Publ
Citation: Designs Codes And Cryptography. Kluwer Academic Publ, v. 25, n. 3, n. 237, n. 246, 2002.
Rights: fechado
Identifier DOI: 10.1023/A:1014979211916
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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