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oapen-20.500.12657-23754
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oapen-20.500.12657-237542024-03-22T19:23:06Z Chapter Measures of Pseudorandomness Gyarmati, Katalin Charpin, Pascale Pott, Alexander Winterhof, Arne Character sum Exponential sum Permutation Polynomial Almost Perfect Nonlinear Function Finite Field thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics thema EDItEUR::U Computing and Information Technology::UY Computer science In the second half of the 1990s Christian Mauduit and András Sárközy [86] introduced a new quantitative theory of pseudorandomness of binary sequences. Since then numerous papers have been written on this subject and the original theory has been generalized in several directions. Here I give a survey of some of the most important results involving the new quantitative pseudorandom measures of finite bi-nary sequences. This area has strong connections to finite fields, in particular, some of the best known constructions are defined using characters of finite fields and their pseudorandom measures are estimated via character sums. 2019-11-18 23:55 2020-01-07 16:47:06 2020-04-01T09:28:09Z 2020-04-01T09:28:09Z 2013 chapter 1006388 OCN: 1135845523 9783110282405 http://library.oapen.org/handle/20.500.12657/23754 eng application/pdf n/a 10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf De Gruyter Finite Fields and Their Applications: Character Sums and Polynomials 10.1515/9783110283600.43 10.1515/9783110283600.43 2b386f62-fc18-4108-bcf1-ade3ed4cf2f3 71105342-6442-4069-93cf-0ef78e3a68bf 7292b17b-f01a-4016-94d3-d7fb5ef9fb79 9783110282405 European Research Council (ERC) Berlin/Boston 228005 FP7 Ideas: European Research Council FP7-IDEAS-ERC - Specific Programme: "Ideas" Implementing the Seventh Framework Programme of the European Community for Research, Technological Development and Demonstration Activities (2007 to 2013) open access
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OAPEN
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DSpace
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English
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| description |
In the second half of the 1990s Christian Mauduit and András Sárközy [86] introduced a new quantitative theory of pseudorandomness of binary sequences. Since then numerous papers have been written on this subject and the original theory has been generalized in several directions. Here I give a survey of some of the most important results involving the new quantitative pseudorandom measures of finite bi-nary sequences. This area has strong connections to finite fields, in particular, some of the best known constructions are defined using characters of finite fields and their pseudorandom measures are estimated via character sums.
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| title |
10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
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| spellingShingle |
10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
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| title_short |
10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
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| title_full |
10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
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| title_fullStr |
10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
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| title_full_unstemmed |
10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
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| title_sort |
10_[9783110283600 - finite fields and their applications] measures.pdf
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| publisher |
De Gruyter
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| publishDate |
2019
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| _version_ |
1799945220958191616
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