Counting permutation equivalent degree six binary polynomials invariant under the cyclic group

The article of record as published may be found at http://dx.doi.org/10.1007/s00200-016-0294-7In this paper we find an exact formula for the number of affine equivalence classes under permutations for binary polynomials degree d = 6 invariant under the cyclic group (also, called monomial rotation symmetric), for a prime number of variables; this extends previous work for 2 ≤ d ≤ 5