TY  - CHAP
AU  - Gyarmati, Katalin
ED  - Charpin, Pascale
ED  - Pott, Alexander
ED  - Winterhof, Arne
AB  - 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.
DO  - 10.1515/9783110283600.43
ID  - OAPEN ID: 1006388
ID  - OAPEN ID: OCN: 1135845523
KW  - Character sum
KW  - Exponential sum
KW  - Permutation Polynomial
KW  - Almost Perfect Nonlinear Function
KW  - Finite Field
L1  - https://library.oapen.org/bitstream/id/0913e3cb-e818-4238-ac1a-96d9f3bd1ec5/10_[9783110283600 - Finite Fields and Their Applications] Measures.pdf
LA  - English
LK  - http://library.oapen.org/handle/20.500.12657/23754
PB  - De Gruyter
PP  - Berlin/Boston
PY  - 2013
SN  - 9783110282405
TI  - Chapter Measures of Pseudorandomnessnull
ER  - 
