Public-Key Cryptography
Based on Finite Simple Semirings

Science Foundation Ireland, PI Grant 08/IN.1/I1950
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Material

Articles

  • Y. Katsov, T. G. Nam, J. Zumbrägel
    On simpleness of semirings and complete semirings
    J. Algebra Appl. 13 no. 6 (2014), 1450015 (29 pages)  arXiv:1105.5591
  • F. Göloğlu, R. Granger, G. McGuire, J. Zumbrägel
    Solving a 6120-bit DLP on a Desktop Computer
    in: Selected Areas in Cryptography−SAC 2013  eprint.iacr.org/2013/306
  • F. Göloğlu, R. Granger, G. McGuire, J. Zumbrägel
    On the Function Field Sieve and the Impact of Higher Splitting Probabilities
    in: Advances in Cryptology−CRYPTO 2013  eprint.iacr.org/2013/074
  • A. Kendziorra, J. Zumbrägel
    Finite simple additively idempotent semirings
    J. Algebra 388 (2013), pp. 43-64   arXiv:1201.0272
  • A. Kendziorra, S. E. Schmidt, J. Zumbrägel
    Invertible matrices over finite additively idempotent semirings
    Semigroup Forum 86 no. 3 (2013), pp. 525-536   arXiv:1112.5990
  • A. Kendziorra, S. E. Schmidt
    The Application of a Characterization of Adjunctions
    J. Algebra Appl. 12 no. 2 (2013), 7 pages
  • A. Kendziorra, S. E. Schmidt
    Network Coding with Modular Lattices
    J. Algebra Appl. 10 (2011), no. 6, pp. 1319-1342  arXiv:1009.0682
  • J. Zumbrägel
    Classification of finite congruence-simple semirings with zero
    J. Algebra Appl. 7 (2008), no. 3, pp. 363-377  arXiv:math/0702416

Theses

  • O. W. Gnilke
    The Semigroup Action Problem in Cryptography
    Ph.D. dissertation, University College Dublin, Ireland, December 2014  PDF
  • A. Kendziorra
    Computational aspects of finite simple semirings
    Ph.D. dissertation, University College Dublin, Ireland, May 2012  PDF
  • J. Zumbrägel
    Public-key cryptography based on simple semirings
    Ph.D. dissertation, Universität Zürich, Switzerland, December 2008  PDF