J4 ›› 2013, Vol. 48 ›› Issue (3): 24-30.

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A new method to evaluate the exponential sums of quadratic functions on finite field with character 2

YIN Hua-jun1,2, ZHANG Xi-yong1,2*   

  1. 1. Institute of Information Engineering, Information Engineering University, Zhengzhou 450002, Henan, China;
    2. State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou 450002, Henan, China
  • Received:2012-03-19 Online:2013-03-20 Published:2013-03-14

Abstract:

Let f(x)=∑1≤i≤kaix1+2αi, k

Key words: binary quadratic function; exponential sums; companion polynomial; reciprocal polynomial

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