AAβ public key cryptosystem - A comparative analysis against RSA and ECC

This paper aims to provide a comparative analysis between probabilistic and deterministic security models. We provide a benchmark by practically implementing and comparing three ciphers - AA
_β
, RSA and ECC. This paper provides the algorithms to implement these ciphers as well as highlights the operating time and performance for varying key sizes of 128/1024/3072, 160/2048/6144 and 192/4096/12288 bits. We target our implementation to justify if the probabilistic model - AA
_β
, can perform equivalently against deterministic models so as to be considered to be used in practical scenarios today.