✦ LIBER ✦

Projective Geometric Codes

✍ Scribed by Bhaskar Bagchi; S.P. Inamdar

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 170 KB
Volume: 99
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.2002.3265

No coin nor oath required. For personal study only.

✦ Synopsis

In this article, we determine the words of minimum weight in the code of the incidence system of s-versus t-flats in a finite projective space. Our proof depends on a few combinatorial results on the geometry of flats which may be of independent interest. We also give bounds for the minimum weight of the dual of this code and show that they are attained in many cases. The lower bound is a consequence of a general result on the dual code of an incidence system. # 2002 Elsevier Science (USA)

📜 SIMILAR VOLUMES

Testing algebraic geometric codes

✍ Hao Chen 📂 Article 📅 2009 🏛 SP Science China Press 🌐 English ⚖ 229 KB

Algebraic geometric codes with applicati

Algebraic geometric codes with applications

✍ Hao Chen 📂 Article 📅 2007 🏛 Higher Education Press and Springer 🌐 English ⚖ 184 KB

Projective Plane and Planar Quantum Code

Projective Plane and Planar Quantum Codes

✍ Michael H. Freedman; David A. Meyer 📂 Article 📅 2001 🏛 Springer-Verlag 🌐 English ⚖ 62 KB

The dimension of projective geometry cod

The dimension of projective geometry codes

✍ P.V. Ceccherini; J.W.P. Hirschfeld 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 553 KB

Projective codes meeting the Griesmer bo

Projective codes meeting the Griesmer bound

✍ Tor Hellesth 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 399 KB

## Helleseth, T., Projective codes meeting the Griesmer bound, Discrete Mathematics 106/107 (1992) 265-271. We present a brief survey of projective codes meeting the Griesmer bound. Methods for constructing large families of codes as well as sporadic codes meeting the bound are given. Current res

An image coding scheme based on image pr

An image coding scheme based on image projections and geometrical VQ

✍ Rosa Lancini; Stefano Tubaro 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 838 KB

This paper deals with an image coding scheme based on overlapped projections and geometrical vector quantization. As far as still images are concerned, we present a simple coding algorithm, in which, the concept of projection, normally employed in tomographic applications, and geometric vector quant