Discrete logarithm records are the best results achieved to date in solving the discrete logarithm problem, which is the problem of finding solutions x...

Binary logarithm Bode plot Henry Briggs Bygrave slide rule Cologarithm Common logarithm Complex logarithm Discrete logarithm Discrete logarithm records e Representations...

algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete logarithm in ( Z / q Z ) ∗ {\displaystyle (\mathbb {Z} /q\mathbb...

prime above RSA-240) using a number field sieve algorithm; see Discrete logarithm records. There is no special primality test for safe primes the way there...

factorization and discrete logarithm: a 240-digit experiment," June 10, 2020. "LISTSERV - NMBRTHRY Archives - LISTSERV.NODAK.EDU". P. L. Montgomery. "Record Number...

stated in a stronger form, asserting that the fractional part of the logarithm of data is typically close to uniformly distributed between 0 and 1; from...

having selected it), unless that party can solve the elliptic curve discrete logarithm problem. Bob's private key is similarly secure. No party other than...

problems: the integer factorization problem, the discrete logarithm problem or the elliptic-curve discrete logarithm problem. All of these problems could be easily...

sense, it also includes exponentiation, extraction of roots, and taking logarithms. Arithmetic systems can be distinguished based on the type of numbers...

frequency data on a log-log graph, with the axes being the logarithm of rank order, and logarithm of frequency. The data conform to Zipf's law with exponent...

Limited improved the previous bound for successfully computing a discrete logarithm on a supersingular elliptic curve from 676 bits to 923 bits. In 2016...

binary logarithm. Other units include the nat, which is based on the natural logarithm, and the decimal digit, which is based on the common logarithm. In...

symbolic notation by François Viète (1540–1603), the introduction of logarithms by John Napier in 1614, which greatly simplified numerical calculations...

(help) Thomé, Emmanuel (December 2, 2019). "795-bit factoring and discrete logarithms". cado-nfs-discuss (Mailing list). Zimmermann, Paul (February 28...

William Oughtred, shortly after the publication of the concept of the logarithm. It is a hand-operated analog computer for doing multiplication and division...

similar to slide rules, but employing unique, discrete "Logarithmic Indexes" (now known as Irish logarithms), as well as a novel memory system utilizing...

PGP/GPG Keys and fingerprints can also be added into a server's DNSSEC DNS records. So any users who want to communicate securely (or any software users)...

one extra bit for the multiplier. However, one way to avoid this is to record the sign and then use the absolute value of ( x 0 − x 1 ) {\displaystyle...

particular, he has contributed to some of the record computations in integer factorisation and discrete logarithm. Zimmermann co-authored the book Computational...

cryptosystem ... [which] can be implemented in any field where the discrete logarithm problem is difficult." It follows from Dickson's conjecture and the...

Algorithm's design is based on the DH ratchet that was introduced by Off-the-Record Messaging (OTR) and combines it with a symmetric-key ratchet modeled after...

document ElGamal signature scheme, based on the difficulty of computing discrete logarithms Key signature (cryptography), the result of applying a hash function...

1\right]} in the L-notation. The constant e is the base of the natural logarithm. To factorize the integer n, Fermat's method entails a search for a single...

{\displaystyle a^{b}{\bmod {c}}} ), while the reverse operation (the discrete logarithm) is thought to be a hard problem. Prime numbers are frequently used...

The first version of the protocol, TextSecure v1, was based on Off-the-record messaging (OTR). On 24 February 2014, Open Whisper Systems introduced TextSecure...

cryptography application. Peggy wants to prove to Victor that she knows the discrete logarithm of a given value in a given group. For example, given a value y, a...

others to factorise numbers of the Cunningham project; for some time the records for integer factorization have been numbers factored by SNFS. The SNFS...

a continuous-time and continuous-amplitude analog signal to a discrete-time and discrete-amplitude digital signal. The conversion involves quantization...

signature scheme on its own does not prevent a valid signed message from being recorded and then maliciously reused in a replay attack. For example, the branch...

fingerprint (or the key it refers to) will be stored locally along with a record of the other user's name or address, so that future communications with...