scholarly journals ORDER OF GAUSS PERIODS IN LARGE CHARACTERISTIC

2013 ◽  
Vol 17 (2) ◽  
pp. 621-628 ◽  
Author(s):  
Mei-Chu Chang
Keyword(s):  
Gauss Periods

Orders of Gauss Periods in Finite Fields

1998 ◽  
Vol 9 (1) ◽  
pp. 15-24 ◽  
Author(s):  
Joachim von zur Gathen ◽  
Igor Shparlinski
Keyword(s):  
Finite Fields ◽  
Gauss Periods

scholarly journals Fast arithmetic with general Gauß periods

2004 ◽  
Vol 315 (2-3) ◽  
pp. 419-452 ◽  
Author(s):  
Joachim von zur Gathen ◽  
Michael Nöcker
Keyword(s):  
Gauss Periods ◽  
Fast Arithmetic

scholarly journals Gauss periods: orders and cryptographical applications

1998 ◽  
Vol 67 (221) ◽  
pp. 343-352 ◽  
Author(s):  
Shuhong Gao ◽  
Joachim von zur Gathen ◽  
Daniel Panario
Keyword(s):  
Gauss Periods

scholarly journals MULTIPLICATIVE ORDER OF GAUSS PERIODS

2010 ◽  
Vol 06 (04) ◽  
pp. 877-882 ◽  
Author(s):  
OMRAN AHMADI ◽  
IGOR E. SHPARLINSKI ◽  
JOSÉ FELIPE VOLOCH
Keyword(s):  
Lower Bound ◽  
Finite Fields ◽  
Normal Bases ◽  
Multiplicative Order ◽  
Gauss Periods

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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