Use of Simple Arithmetic Operations to Construct Efficiently Implementable Boolean functions Possessing High Nonlinearity and Good Resistance to Algebraic Attacks
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866915098032865280 |
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| author | Carlet, Claude Sarkar, Palash |
| author_facet | Carlet, Claude Sarkar, Palash |
| contents | We describe a new class of Boolean functions which provide the presently best known trade-off between low computational complexity, nonlinearity and
(fast) algebraic immunity. In particular, for $n\leq 20$, we show that there are functions in the family achieving a combination of nonlinearity and
(fast) algebraic immunity which is superior to what is achieved by any other efficiently implementable function.
The main novelty of our approach is to apply a judicious combination of simple integer and binary field arithmetic to Boolean function construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Use of Simple Arithmetic Operations to Construct Efficiently Implementable Boolean functions Possessing High Nonlinearity and Good Resistance to Algebraic Attacks Carlet, Claude Sarkar, Palash Cryptography and Security We describe a new class of Boolean functions which provide the presently best known trade-off between low computational complexity, nonlinearity and (fast) algebraic immunity. In particular, for $n\leq 20$, we show that there are functions in the family achieving a combination of nonlinearity and (fast) algebraic immunity which is superior to what is achieved by any other efficiently implementable function. The main novelty of our approach is to apply a judicious combination of simple integer and binary field arithmetic to Boolean function construction. |
| title | Use of Simple Arithmetic Operations to Construct Efficiently Implementable Boolean functions Possessing High Nonlinearity and Good Resistance to Algebraic Attacks |
| topic | Cryptography and Security |
| url | https://arxiv.org/abs/2408.11583 |