QC-MDPC Decoders with Several Shades of Gray

Nir Drucker; Shay Gueron; Dusan Kostic

doi:10.1007/978-3-030-44223-1_3

QC-MDPC Decoders with Several Shades of Gray

Nir Drucker, Shay Gueron, Dusan Kostic

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

QC-MDPC code-based KEMs rely on decoders that have a small or even negligible Decoding Failure Rate (DFR). These decoders should be efficient and implementable in constant-time. One example for a QC-MDPC KEM is the Round-2 candidate of the NIST PQC standardization project, “BIKE”. We have recently shown that the Black-Gray decoder achieves the required properties. In this paper, we define several new variants of the Black-Gray decoder. One of them, called Black-Gray-Flip, needs only 7 steps to achieve a smaller DFR than Black-Gray with 9 steps, for the same block size. On currentplatforms, our BIKE-1 (Level-1) constant-time decapsulation is (Formula Presented) faster than the previous decapsulation with Black-Gray. We also report an additional (Formula Presented) decapsulating speedup using the newandinstructions available on “Ice-Lake” micro-architecture.

Original language	English
Title of host publication	Post-Quantum Cryptography - 11th International Conference, PQCrypto 2020, Proceedings
Editors	Jintai Ding, Jean-Pierre Tillich
Publisher	Springer
Pages	35-50
Number of pages	16
ISBN (Print)	9783030442224
DOIs	https://doi.org/10.1007/978-3-030-44223-1_3
State	Published - 2020
Event	11th International Conference on Post-Quantum Cryptography, PQCrypto 2020 - Paris, France Duration: 15 Apr 2020 → 17 Apr 2020

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12100 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	11th International Conference on Post-Quantum Cryptography, PQCrypto 2020
Country/Territory	France
City	Paris
Period	15/04/20 → 17/04/20

Bibliographical note

Publisher Copyright:
© 2020, Springer Nature Switzerland AG.

Keywords

BIKE
Constant-time implementation
QC-MDPC codes
QC-MDPC decoders

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-030-44223-1_3

Cite this

Drucker, N., Gueron, S., & Kostic, D. (2020). QC-MDPC Decoders with Several Shades of Gray. In J. Ding, & J.-P. Tillich (Eds.), Post-Quantum Cryptography - 11th International Conference, PQCrypto 2020, Proceedings (pp. 35-50). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12100 LNCS). Springer. https://doi.org/10.1007/978-3-030-44223-1_3

Drucker, Nir ; Gueron, Shay ; Kostic, Dusan. / QC-MDPC Decoders with Several Shades of Gray. Post-Quantum Cryptography - 11th International Conference, PQCrypto 2020, Proceedings. editor / Jintai Ding ; Jean-Pierre Tillich. Springer, 2020. pp. 35-50 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "QC-MDPC code-based KEMs rely on decoders that have a small or even negligible Decoding Failure Rate (DFR). These decoders should be efficient and implementable in constant-time. One example for a QC-MDPC KEM is the Round-2 candidate of the NIST PQC standardization project, “BIKE”. We have recently shown that the Black-Gray decoder achieves the required properties. In this paper, we define several new variants of the Black-Gray decoder. One of them, called Black-Gray-Flip, needs only 7 steps to achieve a smaller DFR than Black-Gray with 9 steps, for the same block size. On currentplatforms, our BIKE-1 (Level-1) constant-time decapsulation is (Formula Presented) faster than the previous decapsulation with Black-Gray. We also report an additional (Formula Presented) decapsulating speedup using the newandinstructions available on “Ice-Lake” micro-architecture.",

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Drucker, N, Gueron, S & Kostic, D 2020, QC-MDPC Decoders with Several Shades of Gray. in J Ding & J-P Tillich (eds), Post-Quantum Cryptography - 11th International Conference, PQCrypto 2020, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12100 LNCS, Springer, pp. 35-50, 11th International Conference on Post-Quantum Cryptography, PQCrypto 2020, Paris, France, 15/04/20. https://doi.org/10.1007/978-3-030-44223-1_3

QC-MDPC Decoders with Several Shades of Gray. / Drucker, Nir; Gueron, Shay; Kostic, Dusan.
Post-Quantum Cryptography - 11th International Conference, PQCrypto 2020, Proceedings. ed. / Jintai Ding; Jean-Pierre Tillich. Springer, 2020. p. 35-50 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12100 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - QC-MDPC code-based KEMs rely on decoders that have a small or even negligible Decoding Failure Rate (DFR). These decoders should be efficient and implementable in constant-time. One example for a QC-MDPC KEM is the Round-2 candidate of the NIST PQC standardization project, “BIKE”. We have recently shown that the Black-Gray decoder achieves the required properties. In this paper, we define several new variants of the Black-Gray decoder. One of them, called Black-Gray-Flip, needs only 7 steps to achieve a smaller DFR than Black-Gray with 9 steps, for the same block size. On currentplatforms, our BIKE-1 (Level-1) constant-time decapsulation is (Formula Presented) faster than the previous decapsulation with Black-Gray. We also report an additional (Formula Presented) decapsulating speedup using the newandinstructions available on “Ice-Lake” micro-architecture.

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ER -

Drucker N, Gueron S, Kostic D. QC-MDPC Decoders with Several Shades of Gray. In Ding J, Tillich JP, editors, Post-Quantum Cryptography - 11th International Conference, PQCrypto 2020, Proceedings. Springer. 2020. p. 35-50. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-44223-1_3

QC-MDPC Decoders with Several Shades of Gray

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this