Let PG(n, s), s = 2 ~ and n >12, denote the Desarguesian projective space of projective dimension n over the Galois field Fs. The set of its subsets with set theoretic symmetric difference as addition is a vector space over F2. For 1 ~< t n -1, let Ct(n, s) denote its subspace generated by the t-fla
Finite Projective Geometries and Classification of the Weight Hierarchies of Codes (I)
✍ Scribed by Wen De Chen; Torleiv Kløve
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2004
- Tongue
- English
- Weight
- 231 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
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The weight hierarchies and generalized weight spectra of the projective codes from degenerate quadrics in projective spaces over finite fields are determined. These codes satisfy also the chain conditions.
The flag geometry 1=(P, L, I) of a finite projective plane 6 of order s is the generalized hexagon of order (s, 1) obtained from 6 by putting P equal to the set of all flags of 6, by putting L equal to the set of all points and lines of 6, and where I is the natural incidence relation (inverse conta
The flag geometry 1=(P, L, I) of a finite projective plane 6 of order s is the generalized hexagon of order (s, 1) obtained from 6 by putting P equal to the set of all flags of 6, by putting L equal to the set of all points and lines of 6, and where I is the natural incidence relation (inverse conta