๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Polarities of generalized hexagons and perfect codes

โœ Scribed by P. J. Cameron; J. A. Thas; S. E. Payne

Publisher
Springer
Year
1976
Tongue
English
Weight
145 KB
Volume
5
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Perfect Codes and Balanced Generalized W
Perfect Codes and Balanced Generalized Weighing Matrices
โœ Dieter Jungnickel; Vladimir D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 110 KB

It is proved that any set of representatives of the distinct one-dimensional subspaces in the dual code of the unique linear perfect single-error-correcting code of length (qB!1)/(q!1) over GF(q) is a balanced generalized weighing matrix over the multiplicative group of GF(q). Moreover, this matrix

Perfect Codes and Balanced Generalized W
Perfect Codes and Balanced Generalized Weighing Matrices, II
โœ Dieter Jungnickel; Vladimir D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

In a previous paper, the authors proved that any set of representatives of the distinct 1dimensional subspaces in the dual code of the unique linear perfect single-error-correcting code of length (qB!1)/(q!1) over GF(q) is a balanced generalized weighing matrix over the multiplicative group of GF(q)

Flat Lax and Weak Lax Embeddings of Fini
Flat Lax and Weak Lax Embeddings of Finite Generalized Hexagons
โœ J.A. Thas; H. Van Maldeghem ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 309 KB

In this paper we study laxly embedded generalized hexagons in finite projective spaces (a generalized hexagon is laxly embedded in PG(d, q) if it is a spanning subgeometry of the natural point-line geometry associated to PG(d, q)), satisfying the following additional assumption: for any point x of t