On Some Properties of Quadratic APN Functions of a Special Form
In a recent paper [1], it is shown that functions of the form L1(x3)+L2(x9), where L1 and L2 are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN.
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| Format: | Article |
| Language: | English |
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FRUCT
2017-04-01
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| Series: | Proceedings of the XXth Conference of Open Innovations Association FRUCT |
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| Online Access: | https://fruct.org/publications/abstract20/files/Vil.pdf |
| _version_ | 1819261618496733184 |
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| author | Irene Villa |
| author_facet | Irene Villa |
| author_sort | Irene Villa |
| collection | DOAJ |
| description | In a recent paper [1], it is shown that functions of the form L1(x3)+L2(x9), where L1 and L2 are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN. |
| first_indexed | 2024-12-23T19:44:40Z |
| format | Article |
| id | doaj.art-ea6d4108b49a46e9a7a4fd186b7aa5ba |
| institution | Directory Open Access Journal |
| issn | 2305-7254 2343-0737 |
| language | English |
| last_indexed | 2024-12-23T19:44:40Z |
| publishDate | 2017-04-01 |
| publisher | FRUCT |
| record_format | Article |
| series | Proceedings of the XXth Conference of Open Innovations Association FRUCT |
| spelling | doaj.art-ea6d4108b49a46e9a7a4fd186b7aa5ba2022-12-21T17:33:34ZengFRUCTProceedings of the XXth Conference of Open Innovations Association FRUCT2305-72542343-07372017-04-0177620735740On Some Properties of Quadratic APN Functions of a Special FormIrene Villa0University of Bergen, Bergen, NorwayIn a recent paper [1], it is shown that functions of the form L1(x3)+L2(x9), where L1 and L2 are linear, are a good source for construction of new infinite families of APN functions. In the present work we study necessary and sufficient conditions for such functions to be APN.https://fruct.org/publications/abstract20/files/Vil.pdfAlmost Perfect NonlinearCCZ-equivalenceVectorial Boolean function |
| spellingShingle | Irene Villa On Some Properties of Quadratic APN Functions of a Special Form Proceedings of the XXth Conference of Open Innovations Association FRUCT Almost Perfect Nonlinear CCZ-equivalence Vectorial Boolean function |
| title | On Some Properties of Quadratic APN Functions of a Special Form |
| title_full | On Some Properties of Quadratic APN Functions of a Special Form |
| title_fullStr | On Some Properties of Quadratic APN Functions of a Special Form |
| title_full_unstemmed | On Some Properties of Quadratic APN Functions of a Special Form |
| title_short | On Some Properties of Quadratic APN Functions of a Special Form |
| title_sort | on some properties of quadratic apn functions of a special form |
| topic | Almost Perfect Nonlinear CCZ-equivalence Vectorial Boolean function |
| url | https://fruct.org/publications/abstract20/files/Vil.pdf |
| work_keys_str_mv | AT irenevilla onsomepropertiesofquadraticapnfunctionsofaspecialform |