Designs and Finite Geometries

1. Front Matter

   Pages 1-7

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2. A Life’s Work in Geometry: An Homage to Hanfried Lenz

   • Dieter Jungnickel, Günter Pickert

   Pages 9-22

3. Impossibility of a Certain Cyclotomic Equation with Applications to Difference Sets

   • K. T. Arasu, Alexander Pott

   Pages 23-27

4. On the Binary Codes of Steiner Triple Systems

   • Alphonse Baartmans, Ivan Landjev, Vladimir D. Tonchev

   Pages 29-43

5. Orthogonal Partitions in Designed Experiments

   • R. A. Bailey

   Pages 45-77

6. Regulus-free Spreads of PG(3, q)

   • R. D. Baker, G. L. Ebert

   Pages 79-89

7. Designs, Codes and Crypts—A Puzzle Altogether

   • Thomas Beth

   Pages 91-101

8. 5-Cycle Systems with Holes

   • Darryn E. Bryant, D. G. Hoffman, C. A. Rodger

   Pages 103-108

9. Stories about Groups and Sequences

   • Peter J. Cameron

   Pages 109-133

10. Groups Admitting a Kantor Family and a Factorized Normal Subgroup

    • Dirk Hachenberger

    Pages 135-143

11. Spreads in Strongly Regular Graphs

    • Willem H. Haemers, Vladimir D. Tonchev

    Pages 145-157

12. Codes Based on Complete Graphs

    • Dieter Jungnickel, Marialuisa J. De Resmini, Scott A. Vanstone

    Pages 159-165

13. A Construction of Partial Difference Sets in \( {\mathbb{Z}_{{{p^2}}}} \times {\mathbb{Z}_{{{p^2}}}} \times ... \times {\mathbb{Z}_{{{p^2}}}} \)

    • Ka Hin Leung, Siu Lun Ma

    Pages 167-172

14. On the Characterisation of AG(n, q) by its Parameters as a Nearly Triply Regular Design

    • Arlene A. Pascasio, Cheryl E. Praeger, Blessilda P. Raposa

    Pages 173-179

15. The Fundamental Theorem of q-Clan Geometry

    • S. E. Payne

    Pages 181-202

16. Extension of Gravity Centers Configuration to Steiner Triple Systems

    • Günter Pickert

    Pages 203-214

17. Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings

    • D. K. Ray-Chaudhuri, Qing Xiang

    Pages 215-227

18. m-Systems and Partial m-Systems of Polar Spaces

    • E. E. Shult, J. A. Thas

    Pages 229-238

19. Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited

    • Helmut Siemon

    Pages 239-254

Designs and Finite Geometries brings together in one place important contributions and up-to-date research results in this important area of mathematics.
Designs and Finite Geometries serves as an excellent reference, providing insight into some of the most important research issues in the field.

• Finite
• Partition
• equation
• geometry
• mathematics
• theorem

• University of Augsburg, Germany

  Dieter Jungnickel

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