The Deceptive Primes to $2 \cdot 10^7$

On the Fischer-Clifford matrices of the non-split extension $2^6{{}^{cdot}}G_2(2)$

The group $2^6{{}^{cdot}} G_2(2)$ is a maximal subgroup of the Rudvalis group $Ru$ of index 188500 and has order 774144 = $2^{12}.3^3.7$. In this paper, we construct the character table of the group $2^6{{}^{cdot}} G_2(2)$ by using the technique of Fischer-Clifford matrices.

Breaking '128-bit Secure' Supersingular Binary Curves (or how to solve discrete logarithms in ${\mathbb F}_{2^{4 \cdot 1223}}$ and ${\mathbb F}_{2^{12 \cdot 367}}$)

In late 2012 and early 2013 the discrete logarithm problem (DLP) in finite fields of small characteristic underwent a dramatic series of breakthroughs, culminating in a heuristic quasipolynomial time algorithm, due to Barbulescu, Gaudry, Joux and Thomé. Using these developments, Adj, Menezes, Oliveira and Rodŕıguez-Henŕıquez analysed the concrete security of the DLP, as it arises from pairings ...

Applications (NCU)………………………………………..…….2-107

On the non-split extension $2^{2n}{^{cdot}}Sp(2n,2)$

In this paper we give some general results on the non-splitextension group $overline{G}_{n} = 2^{2n}{^{cdot}}Sp(2n,2), ngeq2.$ We then focus on the group $overline{G}_{4} =2^{8}{^{cdot}}Sp(8,2).$ We construct $overline{G}_{4}$ as apermutation group acting on 512 points. The conjugacy classes aredetermined using the coset analysis technique. Then we determine theinertia factor groups and Fischer...

978 - 1 - 107 - 05194 - 2

In the 2001 volume entitled The Sociolinguistics of Sign Languages, edited by Ceil Lucas (Cambridge University Press), it is stated that, since the early 1980s, “the field of sign language sociolinguistics has virtually exploded. There is work to report on from all of the major areas of sociolinguistics: multilingualism, bilingualism and language contact, variation, discourse analysis, language...