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An algorithm for list decoding number field codes

Abstract : We present an algorithm for list decoding codewords of algebraic number field codes in polynomial time. This is the first explicit procedure for decoding number field codes whose construction were previously described by Lenstra [12] and Guruswami [8]. We rely on a new algorithm for computing the Hermite normal form of the basis of an OK -module due to Biasse and Fieker [2] where OK is the ring of integers of a number field K.
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https://hal.inria.fr/hal-00712441
Contributor : Guillaume Quintin <>
Submitted on : Wednesday, June 27, 2012 - 10:01:01 AM
Last modification on : Thursday, March 5, 2020 - 6:20:50 PM
Long-term archiving on: : Friday, September 28, 2012 - 2:25:09 AM

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Jean-François Biasse, Guillaume Quintin. An algorithm for list decoding number field codes. 2012. ⟨hal-00712441⟩

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