Multiplication in Cyclotomic Rings and its Application to Finite Fields

@article{Argello2008MultiplicationIC,
  title={Multiplication in Cyclotomic Rings and its Application to Finite Fields},
  author={Francisco Arg{\"u}ello},
  journal={CoRR},
  year={2008},
  volume={abs/0807.3699}
}
A representation of finite fields that has proved useful when implementing finite field arithmetic in hardware is based on an isomorphism between subrings and fields. In this paper, we present an unified formulation for multiplication in cyclotomic rings and cyclotomic fields in that most arithmetic operations are done on vectors. From this formulation we… CONTINUE READING