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008 20191118s2013 xx |||||o ||| 0|eng d
020 _a9783110283600.43
020 _a9783110282405
040 _aoapen
_coapen
024 7 _a10.1515/9783110283600.43
_cdoi
041 0 _aeng
042 _adc
072 7 _aPBF
_2bicssc
072 7 _aPBW
_2bicssc
072 7 _aUY
_2bicssc
100 1 _aGyarmati, Katalin
_4auth
700 1 _aCharpin, Pascale
_4edt
700 1 _aPott, Alexander
_4edt
700 1 _aWinterhof, Arne
_4edt
700 1 _aCharpin, Pascale
_4oth
700 1 _aPott, Alexander
_4oth
700 1 _aWinterhof, Arne
_4oth
245 1 0 _aChapter Measures of Pseudorandomness
260 _aBerlin/Boston
_bDe Gruyter
_c2013
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
506 0 _aOpen Access
_2star
_fUnrestricted online access
520 _aIn 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.
536 _aFP7 Ideas: European Research Council
540 _aAll rights reserved
_4http://oapen.org/content/about-rights
546 _aEnglish
650 7 _aAlgebra
_2bicssc
650 7 _aApplied mathematics
_2bicssc
650 7 _aComputer science
_2bicssc
653 _aCharacter sum
653 _aExponential sum
653 _aPermutation Polynomial
653 _aAlmost Perfect Nonlinear Function
653 _aFinite Field
773 1 0 _tFinite Fields and Their Applications: Character Sums and Polynomials
_7nnaa
_oOAPEN Library UUID: 71105342-6442-4069-93cf-0ef78e3a68bf
856 4 0 _awww.oapen.org
_uhttps://library.oapen.org/bitstream/id/0913e3cb-e818-4238-ac1a-96d9f3bd1ec5/10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
_70
_zOAPEN Library: download the publication
856 4 0 _awww.oapen.org
_uhttp://library.oapen.org/handle/20.500.12657/23754
_70
_zOAPEN Library: description of the publication
999 _c6126
_d6126
909 _a4
_bDarya Shvetsova
_c4
_dDarya Shvetsova