Multi-Cluster interleaving in linear arrays and rings
- Creators
- Bruck, Jehoshua
- Jiang, Anxiao (Andrew)
Abstract
Interleaving codewords is an important method not only for combatting burst-errors, but also for flexible data-retrieving. This paper defines the Multi-Cluster Interleaving (MCI) problem, an interleaving problem for parallel data-retrieving. The MCI problems on linear arrays and rings are studied. The following problem is completely solved: how to interleave integers on a linear array or ring such that any m (m greater than or equal to 2) non-overlapping segments of length 2 in the array or ring have at least 3 distinct integers. We then present a scheme using a 'hierarchical-chain structure' to solve the following more general problem for linear arrays: how to interleave integers on a linear array such that any m (m greater than or equal to 2) non-overlapping segments of length L (L greater than or equal to 2) in the array have at least L + 1 distinct integers. It is shown that the scheme using the 'hierarchical-chain structure' solves the second interleaving problem for arrays that are asymptotically as long as the longest array on which an MCI exists, and clearly, for shorter arrays as well.
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Additional details
- Eprint ID
- 26081
- Resolver ID
- CaltechPARADISE:2003.ETR051
- Created
-
2003-04-09Created from EPrint's datestamp field
- Updated
-
2019-11-22Created from EPrint's last_modified field
- Caltech groups
- Parallel and Distributed Systems Group