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arXiv:0803.3657

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Title: Improved Lower Bounds for Constant GC-Content DNA Codes
Authors: Yeow Meng Chee, San Ling
Categories: cs.IT Information Theory (cs.DS Data Structures and Algorithms; math.CO Combinatorics; q-bio.GN Genomics; q-bio.QM Quantitative Methods)
Comments: 4 pages
Journal reference: IEEE Transactions on Information Theory, vol. 54, no. 1, pp. 391-394, 2008 (DOI)

Abstract: The design of large libraries of oligonucleotides having constant GC-content and satisfying Hamming distance constraints between oligonucleotides and their Watson-Crick complements is important in reducing hybridization errors in DNA computing, DNA microarray technologies, and molecular bar coding. Various techniques have been studied for the construction of such oligonucleotide libraries, ranging from algorithmic constructions via stochastic local search to theoretical constructions via coding theory. We introduce a new stochastic local search method which yields improvements up to more than one third of the benchmark lower bounds of Gaborit and King (2005) for n-mer oligonucleotide libraries when n <= 14. We also found several optimal libraries by computing maximum cliques on certain graphs.

Owner: Yeow Meng Chee
Version 1: Wed, 26 Mar 2008 02:26:36 GMT

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