/sci/ - Science & Math

Currently working on this problem and struggling to write out the elements for the nontrivial codes. I've managed to determine that the 2 non-trivial codes are the principal ideals [x+1]R and [x^4+x^3+x^2+x+1]R, where R=Z2[x]/(x^5-1)Z2[x], but I'm not sure what the elements are. Would someone be able to give me some a hand with the [x+1]R elements.