Titlebook: ;

AVOID

Background on Combinatorial Group Theoryaphs where a complete exposition of these techniques is given. For an exposition of Nielsen’s and Schreier’s methods, we recommend [96], whereas [95] has, in our opinion, a better exposition of Whitehead’s and Tietze’s methods.

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Using Decision Problems in Public Key Cryptographyecision problems may allow us to address (to some extent) the following challenge of public key cryptography: to design a cryptosystem that would be secure against (at least, some) “brute force” attacks by an adversary with essentially unlimited computational capabilities.

Offstage

男生戴手铐

Philosophical Perspectives on Brain Dataecision problems may allow us to address (to some extent) the following challenge of public key cryptography: to design a cryptosystem that would be secure against (at least, some) “brute force” attacks by an adversary with essentially unlimited computational capabilities.

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记忆法

Defraud

Canonical Non-commutative Cryptographyom the canonical paradigm of a public-key protocol based on a one-way function. We include here the ground-breaking Anshel-Anshel-Goldfeld protocol [1] as well as protocols that are closer in spirit to classical protocols based on commutative (semi)groups.

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发怨言

Ways of the Scientific World-Conception,In Section 4.1, we have outlined some of the requirements on the platform group in a protocol based on the conjugacy search problem. Most of these requirements apply, in fact, to platform groups in any “canonical” (i.e., based on a one-way function) cryptographic protocol, so we summarize these general requirements here.