I recently acquired Katz & Lindell's Introduction to modern cryptography (3d edition). Currently I'm on page 27 where we have the following definition:
Definition 2.3: An encryption scheme (Gen, Enc,Dec) with message space $M$ is perfectly secret if for every probability distribution for $M$, every messgage $m \in M$, and every ciphertext $c \in C$ for which $Pr[C=c] > 0$: $$Pr[M=m|C=c]=Pr[M=m]$$
The explanation above it mentions:
The adversary can eavesdrop on the parties' communication, and thus observe this ciphertext. (That is, this is a ciphertext-only attack, where the attackers sees only a single ciphertext).
Questions:
- Why is perfect security defined under the threat model of an eavesdropper (ciphertext-only attack)? Shouldn't perfect security be defined under a CCA (chosen-ciphertext attack) threat model?
- Is the one-time pad perfectly secret under a CCA threat model?