ON THE GOWERS NORM OF PSEUDORANDOM BINARY SEQUENCES

Niederreiter Harald; Rivat Joel

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ON THE GOWERS NORM OF PSEUDORANDOM BINARY SEQUENCES

机译：关于伪随机二元序列的Gowers范数

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We study the Gowers norm for periodic binary sequences and relate it to correlation measures for such sequences. The case of periodic binary sequences derived from inversive pseudorandom numbers is considered in detail.

机译：我们研究周期性二进制序列的Gowers范数，并将其与此类序列的相关性度量联系起来。详细考虑了从逆伪随机数导出的周期性二进制序列的情况。

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《Bulletin of the Australian Mathematical Society》 |2009年第2期|共13页
作者
Niederreiter Harald; Rivat Joel;
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原文格式 PDF
正文语种 eng
中图分类 510UA051;
关键词
Gowers norm; pseudorandom; binary sequence; additive character; correlation;

机译：高尔斯范数;伪随机;二元序列;加性;相关性;

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1. GOWERS UNIFORMITY NORM AND PSEUDORANDOM MEASURES OF THE PSEUDORANDOM BINARY SEQUENCES [J] . HUANING LIU International Journal of Number Theory . 2011,第5期

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2. ON THE GOWERS NORM OF PSEUDORANDOM BINARY SEQUENCES [J] . Niederreiter Harald, Rivat Joel Bulletin of the Australian Mathematical Society . 2009,第2期

机译：关于伪随机二元序列的Gowers范数
3. ON THE GOWERS NORM OF PSEUDORANDOM BINARY SEQUENCES [J] . HARALD NIEDERREITER and JOËL RIVAT Bulletin of the Australian Mathematical Society . 2009,第2期

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4. Correlation Properties Comparative Analysis of Pseudorandom Binary Sequences and LTE Standard ZC Sequences [C] . Vladimir Lavrukhin, Vitaly Lazarev, Alexander Ryjkov Conference on internet of things and smart spaces;International conference on next-generation teletraffic and wired/wireless advanced networks and systems . 2016

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7. On finite pseudorandom binary sequences VII: The measures of pseudorandomness [O] . Julien Cassaigne, Christian Mauduit, Andras Sarközy 2001

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8. Multiport Module-2 Generators of Pseudorandom Binary Sequences [R] . Brugia, O., Pioli, M., Wolfowicz, W. 1982

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ON THE GOWERS NORM OF PSEUDORANDOM BINARY SEQUENCES

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