Multiplicative order of gauss periods

Omran Ahmadi; Igor E. Shparlinski; José Felipe Voloch

doi:10.1142/S1793042110003290

Multiplicative order of gauss periods

Omran Ahmadi^*, Igor E. Shparlinski, José Felipe Voloch

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of von zur Gathen and Shparlinski.

Original language	English
Pages (from-to)	877-882
Number of pages	6
Journal	International Journal of Number Theory
Volume	6
Issue number	4
DOIs	https://doi.org/10.1142/S1793042110003290
Publication status	Published - Jun 2010

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title = "Multiplicative order of gauss periods",

abstract = "We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of von zur Gathen and Shparlinski.",

author = "Omran Ahmadi and Shparlinski, {Igor E.} and Voloch, {Jos{\'e} Felipe}",

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AU - Ahmadi, Omran

AU - Shparlinski, Igor E.

AU - Voloch, José Felipe

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N2 - We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of von zur Gathen and Shparlinski.

AB - We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of von zur Gathen and Shparlinski.

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SP - 877

EP - 882

JO - International Journal of Number Theory

JF - International Journal of Number Theory

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Multiplicative order of gauss periods

Abstract

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