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JAAAY avatar Crypto

Difference of unconditional and perfect security in terms of IND-Game

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JAAAY

Both unconditional and perfect security were very clear to me, until I bumped upon different sources that confused me.

For example : 1 2 3. Also in 3 the DH76 paper is referenced and it doesn't define unconditional security in terms of a negligible function.

In terms of IND-Game, this is how I perceived them, with the perfect security being a special case of unconditional security

In IND-Game, if $S$ is the event that $b=\hat{b}$ and the adversary's advantage $SS\text{-}Advantage = |Pr(S)-\dfrac{1}{2}|$. Then :

  • Perfect security : $SS\text{-}Advantage = 0$ against unbounded $\mathcal{A}$
  • Unconditional security : $SS\text{-}Advantage = negl(λ)$ against unbounded $\mathcal{A}$
  • (For completeness purposes) Computational security : $SS\text{-}Advantage = negl(λ)$ against bounded $\mathcal{A}$

Can anyone help me clarify these terms? Is there a consensus on which definitions to use today in bibliography?

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