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- W2004755185 abstract "A proof is presented that shows that the number of directions determined by a function over a finite field GF(q) is either 1, at least (q+3)/2, or between q/s+1 and (q−1)/(s−1) for some s where GF(s) is a subfield of GF(q). Moreover, the graph of those functions that determine less than half the directions is GF(s)-linear. This completes the unresolved cases s=2 and 3 of the main theorem in Blokhuis et al. (J. Combin. Theory Ser. A 86 (1999) 187)." @default.
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- W2004755185 date "2003-11-01" @default.
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- W2004755185 title "The number of directions determined by a function over a finite field" @default.
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- W2004755185 doi "https://doi.org/10.1016/j.jcta.2003.09.006" @default.
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