Gauss periods and fast exponentiation in finite fields

1995 ◽  
pp. 311-322 ◽  
Author(s):  
Shuhong Gao ◽  
Joachim von zur Gathen ◽  
Daniel Panario
Keyword(s):  
Finite Fields ◽  
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 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.

Orders of Gauss periods in finite fields

1995 ◽  
pp. 208-215 ◽  
Author(s):  
Joachim von zur Gathen ◽  
Igor Shparlinski
Keyword(s):  
Finite Fields ◽  
Gauss Periods

Gauß Periods in Finite Fields

2001 ◽  
pp. 162-177 ◽  
Author(s):  
Joachim von zur Gathen ◽  
Igor Shparlinski
Keyword(s):  
Finite Fields ◽  
Gauss Periods

Finite Fields

1996 ◽  
Author(s):  
Rudolf Lidl ◽  
Harald Niederreiter
Keyword(s):  
Finite Fields
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