𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hermitian unitals are code words

✍ Scribed by Aart Blokhuis; Andries Brouwer; Henny Wilbrink

Book ID
103058915
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
355 KB
Volume
97
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

We show that a unital PG(2, q2) is Hermitian if and only if it is in the code generated by the lines of PG(2, 4'). This implies the truth of a conjecture made by Assmus and Key.

πŸ“œ SIMILAR VOLUMES

Some Applications of Magma in Designs an
Some Applications of Magma in Designs and Codes: Oval Designs, Hermitian Unitals and Generalized Reed–Muller Codes
✍ J.D. Key πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 286 KB

We describe three applications of Magma to problems in the area of designs and the associated codes: β€’ Steiner systems, Hadamard designs and symmetric designs arising from an oval in an even-order plane, leading in the classical case to bent functions and difference-set designs; β€’ the Hermitian uni