Abstract. The Weil and Tate pairings are a popular new gadget in cryptography and have found many applications, including identity-based cryptography.
This paper studies the bit security of keys obtained using protocols based on pairings (that is, we show that obtaining certain bits of the common key is as ...
Apr 20, 2023 · No. That's because solving the Discrete Logarithm Problem in one of the pairing's source groups breaks the pairing's security.
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The DDHP is to decide whether a given quadruple (P, aP, bP, cP) of elements in G1 is a valid Diffie-Hellman quadruple, i.e., whether cP = abP. This can be ...
Abstract. The problem of computing bilinear Diffie–Hellman maps is considered. It is shown that the problem of computing the map is equivalent to computing ...
Bilinear Diffie-Hellman: giren goh, ga, gb, distinguish elg,h)eb from random. 3-way Diffie-Hellman: given g, ga, gb, ge, disting with elg,g) abe from rondom. ・ ...
Apr 5, 2017 · Security Semantically secure in ROM assuming. BDH. (Bilinear Diffie-Hellman Assumption). (Given. Given go gr, Q. HARO ela gjør. ΑΓ y. Hi (name)
This paper describes a new deniable authentication protocol whose security is based Diffe-Hellman (CDH) Problem of type Decisional Diffie-Hellman(DDH) and ...
Feb 4, 2013 · Diffie-Hellman or Computational Bilinear Diffie-Hellman have comparable efficiency. When proposing systems, it is important to keep in mind ...
Nov 23, 2016 · – The decisional bilinear Diffie-Hellman problem (DBDH) is to decide whether h = e(P, P)abc for given P, aP, bP, cP ∈ G1 with random elements a, ...