A Note on "Differential Properties of x \mapsto x^-1}"
Blondeau and colleagues recently conjectured a characterization of when x 2t-1 is an almost perfect nonlinear function on F 2 n . In this paper, we will prove the conjecture when n is even. The short proof uses a theorem of Hou and colleagues concerning reversed Dickson polynomials and a theorem of...
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| Veröffentlicht in: | IEEE transactions on information theory 2012-11, Vol.58 (11), p.6986-6988 |
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| container_end_page | 6988 |
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| container_issue | 11 |
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| container_title | IEEE transactions on information theory |
| container_volume | 58 |
| creator | Gologlu, F. |
| description | Blondeau and colleagues recently conjectured a characterization of when x 2t-1 is an almost perfect nonlinear function on F 2 n . In this paper, we will prove the conjecture when n is even. The short proof uses a theorem of Hou and colleagues concerning reversed Dickson polynomials and a theorem of Payne. |
| doi_str_mv | 10.1109/TIT.2012.2208447 |
| format | Article |
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| ispartof | IEEE transactions on information theory, 2012-11, Vol.58 (11), p.6986-6988 |
| issn | 0018-9448 1557-9654 |
| language | eng |
| recordid | cdi_crossref_primary_10_1109_TIT_2012_2208447 |
| source | IEEE Electronic Library (IEL) |
| subjects | APN function Correlation Cryptography Dickson polynomial Galois fields Gold Materials permutation polynomial Polynomials |
| title | A Note on "Differential Properties of x \mapsto x^-1}" |
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