𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On minimum weight codewords in QR codes

✍ Scribed by Donald W Newhart


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
927 KB
Volume
48
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Description of Minimum Weight Codewords
✍ Daniel Augot πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 272 KB

We consider cyclic codes of length n over ‫ކ‬ q , n being prime to q. For such a cyclic code C, we describe a system of algebraic equations, denoted by S C (w), where w is a positive integer. The system is constructed from Newton's identities, which are satisfied by the elementary symmetric function

Small weight codewords in the LDPC codes
✍ V. Pepe; L. Storme; G. Van de Voorde πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 242 KB

## Abstract In this article, we investigate the minimum distance and small weight codewords of the LDPC codes of linear representations, using only geometrical methods. First, we present a new lower bound on the minimum distance and we present a number of cases in which this lower bound is sharp. T

On computing the number of code words wi
✍ Masami Mohri; Masakatsu Morii πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 264 KB πŸ‘ 2 views

The weight distribution is an important parameter that determines the performance of a code. The minimum distance and the number of corresponding codes that can be derived from the weight distribution, greatly affect the performance of the code. The decoding error probability and other performance m

On weights in duadic codes
✍ Vera Pless; John Myron Masley; Jeffrey S Leon πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 736 KB
The optimality of Feng–Rao designed mini
✍ Daisuke Umehara; Shinji Miura; Tomohiko Uyematsu; Eiji Okamoto πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 313 KB πŸ‘ 2 views

The algebraic geometric code is known as a linear code that guarantees a relatively large minimum distance under the condition that the number of check symbols is kept constant, when the code length is long. Recently, Saints and Heegard presented a unified theory for decoding of the algebraic geomet

On finding a minimum spanning tree in a
✍ Colin McDiarmid; Theodore Johnson; Harold S. Stone πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 221 KB πŸ‘ 2 views

We investigate Prim's standard ''tree-growing'' method for finding a minimum spanning tree, when applied to a network in which all degrees are about d and the edges e Ε½ . have independent identically distributed random weights w e . We find that when the kth ' Ε½ . edge e is added to the current tree