gauss periods
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Gauss periods and cyclic codes from cyclotomic sequences of small orders

2014 ◽  
Vol 31 (6) ◽  
pp. 537-546 ◽  
Author(s):  
Liqin Hu ◽  
Qin Yue ◽  
Xiaomeng Zhu
Keyword(s):  
Cyclic Codes ◽  
Gauss Periods ◽  
Cyclotomic Sequences

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

Gauss periods as constructions of low complexity normal bases

2011 ◽  
Vol 62 (1) ◽  
pp. 43-62 ◽  
Author(s):  
M. Christopoulou ◽  
T. Garefalakis ◽  
D. Panario ◽  
D. Thomson
Keyword(s):  
Low Complexity ◽  
Normal Bases ◽  
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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