Secret key agreement: General capacity and second-order asymptotics
Masahito Hayashi, Himanshu Tyagi, Shun Watanabe
Abstract
Masahito Hayashi, Himanshu Tyagi, Shun Watanabe
Abstract
We revisit the problem of secret key agreement using interactive public communication for two parties. When the underlying observations are independent and identically distributed, we establish the second-order asymptotic term in the maximum length of a secret key. Furthermore, for general observations, we establish the secret key capacity. Underlying our proofs is a new secret key agreement scheme and a recently established upper bound on secret key lengths.
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We revisit the problem of secret key agreement using interactive public communication for two parties. When the underlying observations are independent and identically distributed, we establish the second-order asymptotic term in the maximum length of a secret key. Furthermore, for general observations, we establish the secret key capacity. Underlying our proofs is a new secret key agreement scheme and a recently established upper bound on secret key lengths.
Key concepts: Key (lock), Mathematical proof, Independent and identically distributed random variables, Computer science, Upper and lower bounds, Order (exchange), Mathematics, Term (time)