Multi-Cluster interleaving in linear arrays and rings

Bruck, Jehoshua and Jiang, Anxiao (Andrew) (2003) Multi-Cluster interleaving in linear arrays and rings. Technical Report. California Institute of Technology. [CaltechPARADISE:2003.ETR051]

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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.

EPrint Type:	Monograph (Technical Report)
Additional Information:	[Alternate URL: http://www.paradise.caltech.edu/papers/etr051.pdf]
Subjects:	All Records
ID Code:	68
Deposited By:	Jehoshua Bruck
Deposited On:	09 April 2003
Record Number:	CaltechPARADISE:2003.ETR051
Official Persistent URL:	http://resolver.caltech.edu:/CaltechPARADISE:2003.ETR051
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