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Journal articles
Presentations of constrained systems with unconstrained positions
Abstract : We give a polynomial-time construction of the set of sequences that satisfy a finite-memory constraint defined by a finite list of forbidden blocks, with a specified set of bit positions unconstrained. Such a construction can be used to build modulation/error-correction codes (ECC codes) like the ones defined by the Immink-Wijngaarden scheme in which certain bit positions are reserved for ECC parity. We give a lineartime construction of a finite-state presentation of a constrained system defined by a periodic list of forbidden blocks. These systems, called periodic-finite-type systems, were introduced by Moision and Siegel. Finally, we present a linear-time algorithm for constructing the minimal periodic forbidden blocks of a finite sequence for a given period.
Cited literature [10 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-00619692
Contributor : Marie-Pierre Béal Connect in order to contact the contributor
Submitted on : Thursday, October 6, 2011 - 2:20:01 PM
Last modification on : Tuesday, October 19, 2021 - 11:25:52 AM
Long-term archiving on: : Saturday, January 7, 2012 - 2:20:32 AM
Contributor : Marie-Pierre Béal Connect in order to contact the contributor
Submitted on : Thursday, October 6, 2011 - 2:20:01 PM
Last modification on : Tuesday, October 19, 2021 - 11:25:52 AM
Long-term archiving on: : Saturday, January 7, 2012 - 2:20:32 AM
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