Abstract
We provide an upper bound for the cardinality of the value set of a univariate polynomial over a finite field in terms of the index of the polynomial. Moreover, we study when a polynomial vector map in n variables is a permutation polynomial map, again using the index tuple of the map. This also provides an upper bound for the value set of a polynomial map in n variables.
Original language | English (US) |
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Title of host publication | Applied Algebra and Number Theory |
Subtitle of host publication | Essays in Honor of Harald Niederreiter on the Occasion of his 70th Birthday |
Publisher | Cambridge University Press |
Pages | 280-296 |
Number of pages | 17 |
ISBN (Electronic) | 9781139696456 |
ISBN (Print) | 9781107074002 |
DOIs | |
State | Published - Jan 1 2014 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)