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2020 – today
- 2024
[c41]Luk Bettale, Delaram Kahrobaei, Ludovic Perret, Javier A. Verbel:
Biscuit: New MPCitH Signature Scheme from Structured Multivariate Polynomials. ACNS (1) 2024: 457-486- [c40]River Moreira Ferreira, Ludovic Perret:
Polynomial-Time Key-Recovery Attack on the NIST Specification of PROV. AFRICACRYPT 2024: 222-235 - [c39]Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret, Siamak F. Shahandashti:
A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem. PQCrypto (1) 2024: 202-226 - [i38]River Moreira Ferreira, Ludovic Perret:
Polynomial-Time Key-Recovery Attack on the ${\tt NIST}$ Specification of ${\tt PROV}$. IACR Cryptol. ePrint Arch. 2024: 279 (2024) - 2023
- [c38]Christopher Battarbee, Delaram Kahrobaei
, Ludovic Perret, Siamak F. Shahandashti:
SPDH-Sign: Towards Efficient, Post-quantum Group-Based Signatures. PQCrypto 2023: 113-138 - [i37]Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret, Siamak F. Shahandashti:
SPDH-Sign: towards Efficient, Post-quantum Group-based Signatures. CoRR abs/2304.12900 (2023) - [i36]Delaram Kahrobaei, Carmine Monetta, Ludovic Perret, Maria Tota, Martina Vigorito:
Cryptanalysis of protocols using (Simultaneous) Conjugacy Search Problem in certain Metabelian Platform Groups. CoRR abs/2309.13928 (2023) - [i35]Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret, Siamak F. Shahandashti:
SPDH-Sign: towards Efficient, Post-quantum Group-based Signatures. IACR Cryptol. ePrint Arch. 2023: 595 (2023) - [i34]Luk Bettale, Delaram Kahrobaei, Ludovic Perret, Javier A. Verbel:
Biscuit: New MPCitH Signature Scheme from Structured Multivariate Polynomials. IACR Cryptol. ePrint Arch. 2023: 1760 (2023) - 2022
- [i33]Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret, Siamak F. Shahandashti:
A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem. CoRR abs/2209.02814 (2022) - [i32]Jean-Charles Faugère, Gilles Macario-Rat, Jacques Patarin, Ludovic Perret:
A New Perturbation for Multivariate Public Key Schemes such as HFE and UOV. IACR Cryptol. ePrint Arch. 2022: 203 (2022) - [i31]Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret, Siamak F. Shahandashti:
A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem. IACR Cryptol. ePrint Arch. 2022: 1165 (2022) - 2021
- [j21]Olive Chakraborty, Jean-Charles Faugère, Ludovic Perret:
Cryptanalysis of the extension field cancellation cryptosystem. Des. Codes Cryptogr. 89(6): 1335-1364 (2021) - [j20]Matías R. Bender, Jean-Charles Faugère, Ludovic Perret, Elias P. Tsigaridas:
A nearly optimal algorithm to decompose binary forms. J. Symb. Comput. 105: 71-96 (2021)
2010 – 2019
- 2019
- [j19]Marta Conde Pena, Raúl Durán Díaz, Jean-Charles Faugère, Luis Hernández Encinas, Ludovic Perret:
Non-quantum cryptanalysis of the noisy version of Aaronson-Christiano's quantum money scheme. IET Inf. Secur. 13(4): 362-366 (2019) - [j18]Jean-Charles Faugère, Ludovic Perret, Jocelyn Ryckeghem:
Software Toolkit for HFE-based Multivariate Schemes. IACR Trans. Cryptogr. Hardw. Embed. Syst. 2019(3): 257-304 (2019) - [c37]Ward Beullens, Jean-Charles Faugère, Eliane Koussa, Gilles Macario-Rat, Jacques Patarin, Ludovic Perret:
PKP-Based Signature Scheme. INDOCRYPT 2019: 3-22 - 2018
- [c36]Eliane Koussa, Jean-Charles Faugère, Gilles Macario-Rat, Jacques Patarin, Ludovic Perret:
Combinatorial Digital Signature Scheme. BDCSIntell 2018: 48-54 - [i30]Matías R. Bender, Jean-Charles Faugère, Ludovic Perret, Elias P. Tsigaridas:
A nearly optimal algorithm to decompose binary forms. CoRR abs/1810.12588 (2018) - [i29]Jean-Charles Faugère, Eliane Koussa, Gilles Macario-Rat, Jacques Patarin, Ludovic Perret:
PKP-Based Signature Scheme. IACR Cryptol. ePrint Arch. 2018: 714 (2018) - 2017
- [i28]Jean-Charles Faugère, Kelsey Horan, Delaram Kahrobaei, Marc Kaplan, Elham Kashefi, Ludovic Perret:
Fast Quantum Algorithm for Solving Multivariate Quadratic Equations. CoRR abs/1712.07211 (2017) - [i27]Jean-Charles Faugère, Kelsey Horan, Delaram Kahrobaei, Marc Kaplan, Elham Kashefi, Ludovic Perret:
Fast Quantum Algorithm for Solving Multivariate Quadratic Equations. IACR Cryptol. ePrint Arch. 2017: 1236 (2017) - 2016
- [b1]Ludovic Perret:
Bases de Gröbner en Cryptographie Post-Quantique. (Gröbner bases techniques in Quantum-Safe Cryptography). Pierre and Marie Curie University, Paris, France, 2016 - [j17]Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret, Frédéric de Portzamparc, Jean-Pierre Tillich:
Structural cryptanalysis of McEliece schemes with compact keys. Des. Codes Cryptogr. 79(1): 87-112 (2016) - [j16]Martin R. Albrecht, Jean-Charles Faugère, Pooya Farshim, Gottfried Herold, Ludovic Perret:
Polly Cracker, revisited. Des. Codes Cryptogr. 79(2): 261-302 (2016) - [j15]Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret, Frédéric de Portzamparc, Jean-Pierre Tillich:
Folding Alternant and Goppa Codes With Non-Trivial Automorphism Groups. IEEE Trans. Inf. Theory 62(1): 184-198 (2016) - [c35]Matías R. Bender, Jean-Charles Faugère, Ludovic Perret, Elias P. Tsigaridas:
A Superfast Randomized Algorithm to Decompose Binary Forms. ISSAC 2016: 79-86 - [c34]Jean-Charles Faugère, Ludovic Perret:
The Quantum-Safe Revolution. WISA 2016: 258-266 - 2015
- [j14]Martin R. Albrecht, Carlos Cid, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret:
Algebraic algorithms for LWE problems. ACM Commun. Comput. Algebra 49(2): 62 (2015) - [j13]Martin R. Albrecht, Carlos Cid, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret:
On the complexity of the BKW algorithm on LWE. Des. Codes Cryptogr. 74(2): 325-354 (2015) - [j12]Nelly Fazio, Kevin Iga, Antonio Nicolosi, Ludovic Perret, William E. Skeith III:
Hardness of learning problems over Burnside groups of exponent 3. Des. Codes Cryptogr. 75(1): 59-70 (2015) - [j11]Jérémy Berthomieu, Jean-Charles Faugère, Ludovic Perret:
Polynomial-time algorithms for quadratic isomorphism of polynomials: The regular case. J. Complex. 31(4): 590-616 (2015) - [c33]Jean-Charles Faugère, Danilo Gligoroski, Ludovic Perret, Simona Samardjiska, Enrico Thomae:
A Polynomial-Time Key-Recovery Attack on MQQ Cryptosystems. Public Key Cryptography 2015: 150-174 - [c32]Marta Conde Pena, Jean-Charles Faugère, Ludovic Perret:
Algebraic Cryptanalysis of a Quantum Money Scheme The Noise-Free Case. Public Key Cryptography 2015: 194-213 - 2014
- [j10]Jean-Charles Faugère, Domingo Gómez-Pérez, Jaime Gutierrez, Ludovic Perret:
Mathematical and computer algebra techniques in cryptology. J. Symb. Comput. 64: 1-2 (2014) - [c31]Jean-Charles Faugère, Ludovic Perret, Frédéric de Portzamparc:
Algebraic Attack against Variants of McEliece with Goppa Polynomial of a Special Form. ASIACRYPT (1) 2014: 21-41 - [c30]Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret, Frédéric de Portzamparc, Jean-Pierre Tillich:
Structural weakness of compact variants of the McEliece cryptosystem. ISIT 2014: 1717-1721 - [c29]Martin R. Albrecht, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret:
Lazy Modulus Switching for the BKW Algorithm on LWE. Public Key Cryptography 2014: 429-445 - [c28]Martin R. Albrecht, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret, Yosuke Todo, Keita Xagawa:
Practical Cryptanalysis of a Public-Key Encryption Scheme Based on New Multivariate Quadratic Assumptions. Public Key Cryptography 2014: 446-464 - [i26]Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret, Frédéric de Portzamparc, Jean-Pierre Tillich:
Folding Alternant and Goppa Codes with Non-Trivial Automorphism Groups. CoRR abs/1405.5101 (2014) - [i25]Martin R. Albrecht, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret:
Lazy Modulus Switching for the BKW Algorithm on LWE. IACR Cryptol. ePrint Arch. 2014: 19 (2014) - [i24]Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret, Frédéric de Portzamparc, Jean-Pierre Tillich:
Structural Cryptanalysis of McEliece Schemes with Compact Keys. IACR Cryptol. ePrint Arch. 2014: 210 (2014) - [i23]Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret, Frédéric de Portzamparc, Jean-Pierre Tillich:
Folding Alternant and Goppa Codes with Non-Trivial Automorphism Groups. IACR Cryptol. ePrint Arch. 2014: 353 (2014) - [i22]Jean-Charles Faugère, Danilo Gligoroski, Ludovic Perret, Simona Samardjiska, Enrico Thomae:
A Polynomial-Time Key-Recovery Attack on MQQ Cryptosystems. IACR Cryptol. ePrint Arch. 2014: 811 (2014) - [i21]Martin R. Albrecht, Carlos Cid, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret:
Algebraic Algorithms for LWE Problems. IACR Cryptol. ePrint Arch. 2014: 1018 (2014) - 2013
- [j9]Luk Bettale, Jean-Charles Faugère, Ludovic Perret:
Cryptanalysis of HFE, multi-HFE and variants for odd and even characteristic. Des. Codes Cryptogr. 69(1): 1-52 (2013) - [j8]Jean-Charles Faugère, Valérie Gauthier-Umaña, Ayoub Otmani, Ludovic Perret, Jean-Pierre Tillich:
A Distinguisher for High-Rate McEliece Cryptosystems. IEEE Trans. Inf. Theory 59(10): 6830-6844 (2013) - [i20]Jérémy Berthomieu, Jean-Charles Faugère, Ludovic Perret:
Polynomial-Time Algorithms for Quadratic Isomorphism of Polynomials. CoRR abs/1307.4974 (2013) - [i19]Martin R. Albrecht, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret:
Practical Cryptanalysis of a Public-Key Encryption Scheme Based on New Multivariate Quadratic Assumptions. IACR Cryptol. ePrint Arch. 2013: 470 (2013) - 2012
- [j7]Dongdai Lin, Jean-Charles Faugère, Ludovic Perret, Tianze Wang:
On enumeration of polynomial equivalence classes and their application to MPKC. Finite Fields Their Appl. 18(2): 283-302 (2012) - [j6]Martin R. Albrecht, Carlos Cid, Jean-Charles Faugère, Ludovic Perret:
On the relation between the MXL family of algorithms and Gröbner basis algorithms. J. Symb. Comput. 47(8): 926-941 (2012) - [c27]Jean-Charles Faugère, Ludovic Perret, Christophe Petit, Guénaël Renault:
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields. EUROCRYPT 2012: 27-44 - [c26]Luk Bettale, Jean-Charles Faugère, Ludovic Perret:
Solving polynomial systems over finite fields: improved analysis of the hybrid approach. ISSAC 2012: 67-74 - [i18]Martin R. Albrecht, Pooya Farshim, Jean-Charles Faugère, Gottfried Herold, Ludovic Perret:
Polly Cracker, Revisited. Electron. Colloquium Comput. Complex. TR12 (2012) - [i17]Martin R. Albrecht, Carlos Cid, Jean-Charles Faugère, Robert Fitzpatrick, Ludovic Perret:
On the Complexity of the BKW Algorithm on LWE. IACR Cryptol. ePrint Arch. 2012: 636 (2012) - 2011
- [c25]Martin R. Albrecht, Pooya Farshim, Jean-Charles Faugère, Ludovic Perret:
Polly Cracker, Revisited. ASIACRYPT 2011: 179-196 - [c24]Frederik Armknecht, Daniel Augot, Ludovic Perret, Ahmad-Reza Sadeghi:
On Constructing Homomorphic Encryption Schemes from Coding Theory. IMACC 2011: 23-40 - [c23]Danilo Gligoroski, Rune Steinsmo Ødegård, Rune Erlend Jensen, Ludovic Perret, Jean-Charles Faugère, Svein Johan Knapskog, Smile Markovski:
MQQ-SIG - An Ultra-Fast and Provably CMA Resistant Digital Signature Scheme. INTRUST 2011: 184-203 - [c22]Jean-Charles Faugère, Valérie Gauthier-Umaña, Ayoub Otmani, Ludovic Perret, Jean-Pierre Tillich:
A distinguisher for high rate McEliece cryptosystems. ITW 2011: 282-286 - [c21]Luk Bettale, Jean-Charles Faugère, Ludovic Perret:
Cryptanalysis of Multivariate and Odd-Characteristic HFE Variants. Public Key Cryptography 2011: 441-458 - [c20]Charles Bouillaguet, Jean-Charles Faugère, Pierre-Alain Fouque, Ludovic Perret:
Practical Cryptanalysis of the Identification Scheme Based on the Isomorphism of Polynomial with One Secret Problem. Public Key Cryptography 2011: 473-493 - [i16]Dongdai Lin, Jean-Charles Faugère, Ludovic Perret, Tianze Wang:
On Enumeration of Polynomial Equivalence Classes and Their Application to MPKC. IACR Cryptol. ePrint Arch. 2011: 55 (2011) - [i15]Martin R. Albrecht, Carlos Cid, Jean-Charles Faugère, Ludovic Perret:
On the Relation Between the Mutant Strategy and the Normal Selection Strategy in Gröbner Basis Algorithms. IACR Cryptol. ePrint Arch. 2011: 164 (2011) - [i14]Martin R. Albrecht, Pooya Farshim, Jean-Charles Faugère, Ludovic Perret:
Polly Cracker, Revisited. IACR Cryptol. ePrint Arch. 2011: 289 (2011) - [i13]Frederik Armknecht, Daniel Augot, Ludovic Perret, Ahmad-Reza Sadeghi:
On Constructing Homomorphic Encryption Schemes from Coding Theory. IACR Cryptol. ePrint Arch. 2011: 309 (2011) - [i12]Nelly Fazio, Kevin Iga, Antonio Nicolosi, Ludovic Perret, William E. Skeith III:
Random Self-Reducibility Properties of Learning Problems over Burnside Groups of Exponent 3. IACR Cryptol. ePrint Arch. 2011: 398 (2011) - [i11]Luk Bettale, Jean-Charles Faugère, Ludovic Perret:
Cryptanalysis of HFE, Multi-HFE and Variants for Odd and Even Characteristic. IACR Cryptol. ePrint Arch. 2011: 399 (2011) - [i10]Jean-Charles Faugère, Ludovic Perret, Christophe Petit, Guénaël Renault:
New Subexponential Algorithms for Factoring in SL(2, fq). IACR Cryptol. ePrint Arch. 2011: 598 (2011) - 2010
- [j5]Françoise Levy-dit-Vehel, Ludovic Perret:
Security analysis of word problem-based cryptosystems. Des. Codes Cryptogr. 54(1): 29-41 (2010) - [j4]Jean-Charles Faugère, Ludovic Perret:
Foreword. Math. Comput. Sci. 3(2): 127-128 (2010) - [c19]Jean-Charles Faugère, Rune Steinsmo Ødegård, Ludovic Perret, Danilo Gligoroski:
Analysis of the MQQ Public Key Cryptosystem. CANS 2010: 169-183 - [c18]Martin R. Albrecht, Carlos Cid, Thomas Dullien, Jean-Charles Faugère, Ludovic Perret:
Algebraic Precomputations in Differential and Integral Cryptanalysis. Inscrypt 2010: 387-403 - [c17]Jean-Charles Faugère, Ayoub Otmani, Ludovic Perret, Jean-Pierre Tillich:
Algebraic Cryptanalysis of McEliece Variants with Compact Keys. EUROCRYPT 2010: 279-298 - [c16]Jean-Charles Faugère, Joachim von zur Gathen, Ludovic Perret:
Decomposition of generic multivariate polynomials. ISSAC 2010: 131-137 - [c15]Jean-Charles Faugère, Antoine Joux, Ludovic Perret, Joana Treger:
Cryptanalysis of the Hidden Matrix Cryptosystem. LATINCRYPT 2010: 241-254 - [i9]Danilo Gligoroski, Svein Johan Knapskog, Smile Markovski, Rune Steinsmo Ødegård, Rune Erlend Jensen, Ludovic Perret, Jean-Charles Faugère:
The Digital Signature Scheme MQQ-SIG. CoRR abs/1010.3163 (2010) - [i8]Jean-Charles Faugère, Valérie Gauthier, Ayoub Otmani, Ludovic Perret, Jean-Pierre Tillich:
A Distinguisher for High Rate McEliece Cryptosystems. IACR Cryptol. ePrint Arch. 2010: 331 (2010) - [i7]Charles Bouillaguet, Jean-Charles Faugère, Pierre-Alain Fouque, Ludovic Perret:
Practical Cryptanalysis of the Identification Scheme Based on the Isomorphism of Polynomial with One Secret Problem. IACR Cryptol. ePrint Arch. 2010: 504 (2010) - [i6]Danilo Gligoroski, Rune Steinsmo Ødegård, Rune Erlend Jensen, Ludovic Perret, Jean-Charles Faugère, Svein Johan Knapskog, Smile Markovski:
The Digital Signature Scheme MQQ-SIG. IACR Cryptol. ePrint Arch. 2010: 527 (2010)
2000 – 2009
- 2009
- [j3]Luk Bettale, Jean-Charles Faugère, Ludovic Perret:
Hybrid approach for solving multivariate systems over finite fields. J. Math. Cryptol. 3(3): 177-197 (2009) - [j2]Daniel Augot, Jean-Charles Faugère, Ludovic Perret:
Foreword. J. Symb. Comput. 44(12): 1605-1607 (2009) - [j1]Jean-Charles Faugère, Ludovic Perret:
An efficient algorithm for decomposing multivariate polynomials and its applications to cryptography. J. Symb. Comput. 44(12): 1676-1689 (2009) - [c14]Jean-Charles Faugère, Ludovic Perret:
Algebraic Cryptanalysis of Curry and Flurry Using Correlated Messages. Inscrypt 2009: 266-277 - [c13]Jean-Charles Faugère, Ludovic Perret:
High order derivatives and decomposition of multivariate polynomials. ISSAC 2009: 207-214 - [p1]Françoise Levy-dit-Vehel, Maria Grazia Marinari, Ludovic Perret, Carlo Traverso:
A Survey on Polly Cracker Systems. Gröbner Bases, Coding, and Cryptography 2009: 285-305 - [e1]Massimiliano Sala, Shojiro Sakata, Teo Mora, Carlo Traverso, Ludovic Perret:
Gröbner Bases, Coding, and Cryptography. Springer 2009, ISBN 978-3-540-93805-7 [contents] - [i5]Jean-Charles Faugère, Ludovic Perret:
On the Security of UOV. IACR Cryptol. ePrint Arch. 2009: 483 (2009) - [i4]Charles Bouillaguet, Jean-Charles Faugère, Pierre-Alain Fouque, Ludovic Perret:
Differential-Algebraic Algorithms for the Isomorphism of Polynomials Problem. IACR Cryptol. ePrint Arch. 2009: 583 (2009) - 2008
- [c12]Luk Bettale, Jean-Charles Faugère, Ludovic Perret:
Cryptanalysis of the TRMS Signature Scheme of PKC'05. AFRICACRYPT 2008: 143-155 - [c11]Luk Bettale, Jean-Charles Faugère, Ludovic Perret:
Security Analysis of Multivariate Polynomials for Hashing. Inscrypt 2008: 115-124 - [c10]Jean-Charles Faugère, Françoise Levy-dit-Vehel, Ludovic Perret:
Cryptanalysis of MinRank. CRYPTO 2008: 280-296 - [c9]Pierre-Alain Fouque, Gilles Macario-Rat, Ludovic Perret, Jacques Stern:
Total Break of the l-IC Signature Scheme. Public Key Cryptography 2008: 1-17 - [i3]Jean-Charles Faugère, Ludovic Perret:
Algebraic Cryptanalysis of Curry and Flurry using Correlated Messages. IACR Cryptol. ePrint Arch. 2008: 402 (2008) - 2007
- [c8]Makoto Sugita, Mitsuru Kawazoe, Ludovic Perret, Hideki Imai:
Algebraic Cryptanalysis of 58-Round SHA-1. FSE 2007: 349-365 - 2006
- [c7]Jean-Charles Faugère, Ludovic Perret:
Cryptanalysis of 2R- Schemes. CRYPTO 2006: 357-372 - [c6]Jean-Charles Faugère, Ludovic Perret:
Polynomial Equivalence Problems: Algorithmic and Theoretical Aspects. EUROCRYPT 2006: 30-47 - 2005
- [c5]Ludovic Perret:
A Fast Cryptanalysis of the Isomorphism of Polynomials with One Secret Problem. EUROCRYPT 2005: 354-370 - [c4]Françoise Levy-dit-Vehel, Ludovic Perret:
On the Wagner-Magyarik Cryptosystem. WCC 2005: 316-329 - [i2]Ludovic Perret:
A Chosen Ciphertext Attack on a Public Key Cryptosystem Based on Lyndon Words. IACR Cryptol. ePrint Arch. 2005: 14 (2005) - 2004
- [c3]Françoise Levy-dit-Vehel, Ludovic Perret:
Attacks on Public Key Cryptosystems Based on Free Partially Commutative Monoids and Groups. INDOCRYPT 2004: 275-289 - [c2]Ludovic Perret, Abdelmejid Bayad:
A differential approach to a polynomial equivalence problem. ISIT 2004: 142 - [i1]Ludovic Perret:
On the computational complexity of some equivalence problems of polynomial systems of equations over finite fields. Electron. Colloquium Comput. Complex. TR04 (2004) - 2003
- [c1]Françoise Levy-dit-Vehel, Ludovic Perret:
Polynomial Equivalence Problems and Applications to Multivariate Cryptosystems. INDOCRYPT 2003: 235-251
Coauthor Index
[i32] [j21] [j20] [j19] [j18] [c37] [c36] [i30] [i29] [i28] [i27] [j17] [j16] [j15] [c35] [c34] [j14] [j13] [j11] [c33] [c32] [j10] [c31] [c30] [c29] [c28] [i26] [i25] [i24] [i23] [i22] [i21] [j9] [j8] [i20] [i19] [j7] [j6] [c27] [c26] [i18] [i17] [c25] [c23] [c22] [c21] [c20] [i16] [i15] [i14] [i11] [i10] [j4] [c19] [c18] [c17] [c16] [c15] [i9] [i8] [i7] [i6] [j3] [j2] [j1] [c14] [c13] [i5] [i4] [c12] [c11] [c10] [i3] [c7] [c6]
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