A construction of bent functions from plateaued functions
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Publication:1934227
DOI10.1007/s10623-012-9686-2zbMath1286.06021OpenAlexW2077153543MaRDI QIDQ1934227
Wilfried Meidl, Ayça Çeşmelioǧlu
Publication date: 28 January 2013
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/inria-00607752/file/88.pdf
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Cites Work
- Unnamed Item
- Strongly regular graphs constructed from \(p\)-ary bent functions
- A construction of weakly and non-weakly regular bent functions
- Strongly regular graphs associated with ternary bent functions
- Construction of bent functions from near-bent functions
- \(p\)-ary and \(q\)-ary versions of certain results about bent functions and resilient functions
- Normal Extensions of Bent Functions
- On Bent and Semi-Bent Quadratic Boolean Functions
- Monomial and quadratic bent functions over the finite fields of odd characteristic
- Bent Functions of Maximal Degree
- Partial difference sets from quadratic forms and $p$-ary weakly regular bent functions
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