Finite Fields [HB 39]

Changes:

• Large degree irreducible polynomials over GF(2) (used, for example, when constructing GF(2^k)) are now low-term irreducibles (see below), if possible. To obtain the old sparse polynomials, specify the parameter Sparse when creating such a field.

New Features:

• A database of low-term irreducible polynomials over GF(2) (of the form xⁿ + g where g is of minimal degree) has been constructed up to degree 23000.
• New functions IrreducibleLowTermGF2Polynomial and IrreducibleSparseGF2Polynomial.