Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-41-18-K-7

Class Groups in Cryptography (2V, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 4.5 CP 28 h 107 h
(2V) 4.5 CP 28 h 107 h

Basedata

SWS 2V
CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
Fieker, Claus, Prof. Dr. (PROF | DEPT: MAT)
Malle, Gunter, Prof. Dr. (PROF | DEPT: MAT)
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

  • definition and simple properties of class groups,
  • algorithms for ideal arithmetic in class fields,
  • complexity analysis,
  • applications to Diffie-Hellman method, safety evaluation.

Literature

  • J. Buchmann, T. Takagi, U. Vollmer: Number field cryptography.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-41-18-K-7]

Module Name Context
[MAT-41-18-M-7] Class Groups in Cryptography P: Obligatory 2V, 4.5 LP