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ConwayPolynomials :: conwayPolynomial

conwayPolynomial -- provide a Conway polynomial

Description

Synopsis

  • Usage:
    conwayPolynomial q
  • Inputs:
    • q, an integer, a power of a prime number
  • Outputs:
    • a Conway polynomial whose roots generate a field with q elements
i1 : conwayPolynomial 125

      3
o1 = a  - 2a - 2

     ZZ
o1 : --[a]
      5

Synopsis

  • Usage:
    conwayPolynomial(p,n)
  • Inputs:
  • Outputs:
    • a Conway polynomial whose roots generate a field with p^n elements
i2 : conwayPolynomial(2,20)

      20    10    9    7    6    5    4
o2 = a   + a   + a  + a  + a  + a  + a  + a + 1

     ZZ
o2 : --[a]
      2

Ways to use conwayPolynomial :