40 citations · 178 across the 25 of their papers we have counts for
4 papers · 1 filter
Subsets of free groups with distinct differences
Simon R. Blackburn, Emma Smith, Luke Stewart
Let be a free group of rank , with free generating set . A subset of is a \emph{Distinct Difference Configuration} if the differences are distinct,…
A Practical Cryptanalysis of the Algebraic Eraser
Adi Ben-Zvi, Simon R. Blackburn, Boaz Tsaban
Anshel, Anshel, Goldfeld and Lemieaux introduced the Colored Burau Key Agreement Protocol (CBKAP) as the concrete instantiation of their Algebraic Eraser scheme. This scheme, based…
The probability that a pair of elements of a finite group are conjugate
Simon R. Blackburn, John R. Britnell, Mark Wildon
Let be a finite group, and let be the probability that elements , are conjugate, when and are chosen independently and uniformly at random. The paper…
Group theory in cryptography
Simon R. Blackburn, Carlos Cid, Ciaran Mullan
This paper is a guide for the pure mathematician who would like to know more about cryptography based on group theory. The paper gives a brief overview of the subject, and provides…