logarithm problem? 2.3.7 What is the discrete logarithm problem?2.3.7 What is the discrete logarithm problem?Kevin Bowers
2.3.8 What are the best discrete logarithm methods in use today?Kevin Bowers
A logarithmic chart is a graphical representation that employs a logarithmic scale, diverging from the conventional linear scale used in most charts, where values are evenly spaced by creating varying intervals between values.
A polynomial commitment scheme is a cryptographic protocol that allows a party to commit to a polynomial while keeping it hidden and later reveal and prove evaluations of the polynomial at specific points without revealing the polynomial itself. This is particularly useful in various cryptographic appli...
The discrete logarithm problem (DLP) is one of the cornerstones of the fields of cryptology and cryptography. It is described using a finite cyclic group G with a generator g (primitive root modulo p); an element h, where h is an element in the group G and generated by g; and a prim...
Setup: Requires a trusted setup or can be based on discrete logarithm assumptions.设置:需要可信设置或可以基于离散对数假设。 Commit: Uses vector commitments and inner-product arguments.Commit:使用向量承诺和内积参数。 Open: Provides a succinct proof.开放:提供简洁的证明。
The basis of ECC is the elliptic curve discrete logarithm problem (ECDLP), which involves finding the logarithm (also known as the exponent) in the elliptic curve equation (given above) from the two points on the curve. ECC generates keys through the properties of the equation given above ins...
Encryption is the process of transforming readable plaintext into unreadable ciphertext to mask sensitive information from unauthorized users.
Is the discrete logarithm problem hard?Sometimes, maybe.As a counter-example, let<span id="MathJax-Span-65" class="mrow"><span id="MathJax-Span-66" class="mi">Gbe the integers under addition. So now it makes sense to write the group operation additively, not multiplicatively. So the ...
What is Elliptic Curve Cryptography (ECC)? Elliptic Curve Cryptography (ECC) relies on the algebraic structure of elliptic curves over finite fields. It is assumed that discovering the discrete logarithm of a random elliptic curve element in connection to a publicly known base point is impractical....