This short note will confirm the converse of Birkhoff's theorem and establish the following: Suppose L is a lattice satisfying the ascending chain condition (resp., the descending chain condition). Then L is distributive if and only if each element of L has a unique finite irredundant decomposition
On codes satisfying the double chain condition
✍ Scribed by Torleiv Kl∅ve
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 689 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
The double chain condition is described. A number of bounds on the length and weight hierarchy of codes satisfying the double chain condition are given. Constructions of codes satisfying the double chain condition and with trellis complexity 1 or 2 are given.
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