• Title of article

    Character sums over Galois rings and primitive polynomials over finite fields

  • Author/Authors

    Fan Shuqin، نويسنده , , Han Wenbao، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    17
  • From page
    36
  • To page
    52
  • Abstract
    Using the estimates of character sums over Galois rings and Cohenʹs sieve, we prove that there exists a primitive polynomial f(x)=xn−a1xn−1+ +(−1)nan over Fq of degree n with the first three coefficients a1,a2,a3 prescribed when n 8.
  • Keywords
    finite field , Primitive polynomial , Character sums over Galois rings
  • Journal title
    Finite Fields and Their Applications
  • Serial Year
    2004
  • Journal title
    Finite Fields and Their Applications
  • Record number

    701114