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Ternary Syndrome Decoding with Large Weight

Abstract : The Syndrome Decoding problem is at the core of many code-based cryptosys-tems. In this paper, we study ternary Syndrome Decoding in large weight. This problem has been introduced in the Wave signature scheme but has never been thoroughly studied. We perform an algorithmic study of this problem which results in an update of the Wave parameters. On a more fundamental level, we show that ternary Syndrome Decoding with large weight is a really harder problem than the binary Syndrome Decoding problem, which could have several applications for the design of code-based cryptosystems.
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https://hal.inria.fr/hal-02420997
Contributor : Matthieu Lequesne <>
Submitted on : Friday, December 20, 2019 - 11:13:22 AM
Last modification on : Thursday, January 7, 2021 - 3:38:03 PM
Long-term archiving on: : Saturday, March 21, 2020 - 3:01:02 PM

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Rémi Bricout, André Chailloux, Thomas Debris-Alazard, Matthieu Lequesne. Ternary Syndrome Decoding with Large Weight. SAC 2019 - 26th International Conference Selected Areas in Cryptography, Aug 2019, Waterloo, Canada. ⟨hal-02420997⟩

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