Şükrü Yalçınkaya

activity

20102024

most citedAdjoint representations of black box groups

PSL_{2} (F_{q})

18 citations · 39 across the 7 of their papers we have counts for

collaborators

9 papers

math.GR2024

Structural proxies for black box rings encrypting rings of 2 by 2 matrices over finite fields of odd order

Alexandre Borovik, Sukru Yalcinkaya

This paper provides an example of structural proxies for black box rings encrypting rings of 2 by 2 matrices of finite fields of odd order.

math.GR2017

Homomorphic encryption and some black box attacks

Alexandre Borovik, Şükrü Yalçınkaya

This paper is a compressed summary of some principal definitions and concepts in the approach to the black box algebra being developed by the authors. We suggest that black box alg…

math.GR2015★ 18 cited

Adjoint representations of black box groups $PSL_{2} (F_{q})$

Alexandre Borovik, Şükrü Yalçınkaya

Given a black box group $Y$ encrypting $PSL_{2} (F)$ over an unknown field $F$ of unknown odd characteristic $p$ and a global exponent $E$ for $\mathsf…

math.GR2014★ 1 cited

Black Box White Arrow

Alexandre Borovik, Şükrü Yalçinkaya

The present paper proposes a new and systematic approach to the so-called black box group methods in computational group theory. Instead of a single black box, we consider categori…

math.GR2014★ 2 cited

Construction of some subgroups in black box groups $PGL_{2} (q)$ and $(P) SL_{2} (q)$

Alexandre Borovik, Şükrü Yalçınkaya

For the black box groups $X$ encrypting $PGL_{2} (q)$ , $q$ odd, we propose an algorithm constructing a subgroup encrypting $Sym_{4}$ and subfield subgroups of $X$ . We also…

math.GR2014

Generation of finite classical groups by pairs of elements with large fixed point spaces

Cheryl E. Praeger, Ákos Seress, Şükrü Yalçinkaya

We study `good elements' in finite $2 n$ -dimensional classical groups $G$ : namely $t$ is a `good element' if $o (t)$ is divisible by a primitive prime divisor of $q^{n} - 1$ for the rele…

math.GR2013★ 6 cited

Steinberg presentations of black box classical groups in small characteristics

Alexandre Borovik, Sukru Yalcinkaya

The main component of (constructive) recognition algorithms for black box groups of Lie type in computational group theory is the construction of unipotent elements. In the existin…

math.GR2010★ 7 cited

Construction of Curtis-Phan-Tits system in black box classical groups

Alexandre Borovik, Sukru Yalcinkaya

We present a polynomial time Monte-Carlo algorithm for finite simple black box classical groups of odd characteristic which constructs all root $SL_{2} (q)$ -subgroups associate…

math.GR2010★ 5 cited

Construction of long root SL(2,q)-subgroups in black box groups

Sukru Yalcinkaya

We present a one sided Monte--Carlo algorithm which constructs a long root $\sl_2(q)$-subgroup in $X / O_{p} (X)$ , where $X$ is a black-box group and $X / O_{p} (X)$ is a finite simple group…

Structural proxies for black box rings encrypting rings of 2 by 2 matrices over finite fields of odd order

Homomorphic encryption and some black box attacks

Adjoint representations of black box groups PSL2​(Fq​)

Black Box White Arrow

Construction of some subgroups in black box groups PGL2​(q) and (P)SL2​(q)

Generation of finite classical groups by pairs of elements with large fixed point spaces

Steinberg presentations of black box classical groups in small characteristics

Construction of Curtis-Phan-Tits system in black box classical groups

Construction of long root SL(2,q)-subgroups in black box groups

Adjoint representations of black box groups $PSL_{2} (F_{q})$

Construction of some subgroups in black box groups $PGL_{2} (q)$ and $(P) SL_{2} (q)$