Abstract | ||
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In this paper we characterize the d-dimensional dual hyperovals in PG(2d + 1, 2) that can be obtained by Yoshiara's construction (Innov Incid Geom 8:147---169, 2008) from quadratic APN functions and state a one-to-one correspondence between the extended affine equivalence classes of quadratic APN functions and the isomorphism classes of these dual hyperovals. |
Year | DOI | Venue |
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2010 | 10.1007/s10623-009-9347-2 | Des. Codes Cryptography |
Keywords | Field | DocType |
Finite fields,Finite geometry,APN functions,Dimensional dual hyperovals,52C35,94A60,11T06,11T71 | Discrete mathematics,Combinatorics,Finite field,GEOM,Quadratic equation,Isomorphism,Finite geometry,Affine equivalence,Mathematics | Journal |
Volume | Issue | ISSN |
57 | 1 | 0925-1022 |
Citations | PageRank | References |
10 | 0.74 | 14 |
Authors | ||
1 |