Journal of Cryptology

, Volume 1, Issue 3, pp 185–188 | Cite as

Linear ciphers and spreads

  • Fred Piper
  • Michael Walker


The purpose of this paper is to point out a correspondence between certain types of linear ciphers and projective planes. With the aid of this correspondence we are then able to answer a number of questions posed in [3].

Key words

Block ciphers Linear ciphers Spreads Translation planes 


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  1. [1]
    Hughes, D. R., and Piper, F. C.,Projective Planes, Graduate Texts in Mathematics, Vol. 6, Springer-Verlag, New York, 1973.Google Scholar
  2. [2]
    Lüneberg, H.,Translation Planes, Springer-Verlag, New York, 1980.Google Scholar
  3. [3]
    Massey, J. L., Maurer, U., and Wang, M., Non-expanding key-minimal, robustly-perfect, linear and bilinear ciphers,Proceedings of EUROCRYPT 87, pp. 237–248, Lecture Notes in Computer Science, Vol. 304, Springer-Verlag, Berlin, 1988.Google Scholar

Copyright information

© International Association for Cryptologic Research 1988

Authors and Affiliations

  • Fred Piper
    • 1
  • Michael Walker
    • 2
  1. 1.Department of MathematicsRoyal Holloway and Bedford New College (University of London)EghamEngland
  2. 2.Racal Research Ltd., Worton DriveWorton Grange Industrial EstateReadingEngland

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