let me provide a tip and maybe somebody can find a solution:

The hidden keys:

[1, 1, 1] bonus index alpha fox
[0, 1, 2] fiber distance crack embark
[0, 1, 3] ability dove someone lava myself
[0, 1, 4] come fury six wedding
[0, 1, 5] ability boss unknown bicycle drill
[0, 1, 6] all later giggle praise
[0, 0, 1] umbrella month equal energy

the prime defining the quotient ring is 2^45 - 229

the first searched word to crosscheck is : quiz