The Freudenthal-Springer-Tits constructions revisited

On the Constructions of Tits and Faulkner: an Isomorphism Theorem

Classification theory guarantees the existence of an isomorphism between any two E8’s, at least over an algebraically closed field of characteristic 0. The purpose of this paper is to construct for any Jordan algebra J of degree 3 over a field Φ of characteristic ≠ 2,3 an explicit isomorphism between the algebra obtained from J by Faulkner’s construction and the algebra obtained from the split ...

A topological constructions for all two-row Springer varieties

Japanese Post-verbal Constructions Revisited

the verbal constructions in azari (harzani dialect)

most of the verbal constructions of harzani dialect have got inflectional affixes. the majority of the constructions are made up vy adding a specific verbal affix to the verbal stem (infinitive without infinitive marker). only a few number of them is formed by adding a verbal affix to the past participle of the verb. there are specific rules for the formation of different verbal types. there is...

Hardness Preserving Constructions of Pseudorandom Functions, Revisited

We revisit hardness-preserving constructions of a PRF from any length doubling PRG when there is a non-trivial upper bound q on the number of queries that the adversary can make to the PRF. Very recently, Jain, Pietrzak, and Tentes (TCC 2012) gave a hardness-preserving construction of a PRF that makes only O(log q) calls to the underlying PRG when q = 2 and ≥ 12 . This dramatically improves upo...