On some cryptographic properties of Boolean functions and their second-order derivatives
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866929385777397760 |
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| author | Musukwa, Augustine Sala, Massimiliano Zaninelli, Marco |
| author_facet | Musukwa, Augustine Sala, Massimiliano Zaninelli, Marco |
| contents | In this paper some cryptographic properties of Boolean functions, including weight, balancedness and nonlinearity, are studied, particularly focusing on splitting functions and cubic Boolean functions. Moreover, we present some quantities derived from the behaviour of second-order derivatives which allow us to determine whether a quadratic or cubic function is APN. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_10586 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On some cryptographic properties of Boolean functions and their second-order derivatives Musukwa, Augustine Sala, Massimiliano Zaninelli, Marco Cryptography and Security 06E30, 94A60, 14G50 In this paper some cryptographic properties of Boolean functions, including weight, balancedness and nonlinearity, are studied, particularly focusing on splitting functions and cubic Boolean functions. Moreover, we present some quantities derived from the behaviour of second-order derivatives which allow us to determine whether a quadratic or cubic function is APN. |
| title | On some cryptographic properties of Boolean functions and their second-order derivatives |
| topic | Cryptography and Security 06E30, 94A60, 14G50 |
| url | https://arxiv.org/abs/1909.10586 |