Abderrahmane Nitaj

Ph.D., HDR

Africacrypt Conferences

Web page

NORMANDIE 2024

Cryptography and Algorithmic Number Theory, CAEN, July 2-4, 2024

AFRICACRYPT 2024

Presentation

Douala, Cameroon, July 10-12, 2024

CRYPTOLOGY 2024

Cyberjaya, Selangor, Malaysia
24-26 September 2024

International Conference on Transformative Technologies: Secure Networks & Decision Empowerments (ICTT’24)

ICTT'24

Moroccan Journal of Algebra and Geometry with Applications

MJAGA

The abc conjecture

To the abc conjecture home page

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Research Interests

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Publications

Books:

  1. Progress in Cryptology – AFRICACRYPT 2020 Nitaj, Abderrahmane, Youssef, Amr (Eds.), Lecture Notes in Computer Science, Vol. 12174 , Online version

  2. Progress in Cryptology – AFRICACRYPT 2019, Buchmann, Johannes, Nitaj, Abderrahmane, Rachidi, Tajjeeddine (Eds.), Lecture Notes in Computer Science, Vol. 11627, Online version

  3. Codes, Cryptology, and Information Security C2SI 2019, Claude Carlet, Sylvain Guilley, Abderrahmane Nitaj, El Mamoun Souidi (Eds.), Lecture Notes in Computer Science, Vol. 11445, Online version

  4. Progress in Cryptology -- AFRICACRYPT 2018 , Joux, Antoine, Nitaj, Abderrahmane, Rachidi, Tajjeddine (Eds.), Lecture Notes in Computer Science, Vol. 10831, Online version

  5. Progress in Cryptology -- AFRICACRYPT 2017 , Joye, Marc, Nitaj, Abderrahmane (Eds.), Lecture Notes in Computer Science, Vol. 10239, Online version

  6. Codes, Cryptology, and Information Security C2SI 2017, Said El Hajji, Abderrahmane Nitaj, El Mamoun Souidi (Eds.), Lecture Notes in Computer Science, Vol. 10194, Online version

  7. Progress in Cryptology -- AFRICACRYPT 2016 , Pointcheval, David, Nitaj, Abderrahmane, Rachidi, Tajjeeddine (Eds.), Lecture Notes in Computer Science, Vol. 9646, Online version

  8. Codes, Cryptology, and Information Security C2SI 2015, Said El Hajji, Abderrahmane Nitaj, Claude Carlet, El Mamoun Souidi (Eds.), Lecture Notes in Computer Science, Vol. 9084, Online version

  9. Progress in Cryptology -- AFRICACRYPT 2013 , Youssef, Amr; Nitaj, Abderrahmane; Hassanien, Aboul Ella (Eds.), Lecture Notes in Computer Science, Vol. 7918, Online version

  10. Progress in Cryptology -- AFRICACRYPT 2011 , Abderrahmane Nitaj, David Pointcheval (Eds.), Lecture Notes in Computer Science, Vol. 6737, Online version

Book Chapters:

  1. The Mathematics of the NTRU Cryptosystem . In Addepalli VN Krishna (Eds.), Emerging Security Solutions Using Public and Private Key Cryptography: Mathematical Concepts, IGI Global, June, 2015. [PDF]

  2. The Mathematical Cryptography of the RSA Cryptosystem . In Cryptography: Protocols, Design and Applications, Kamol Lek and Naruemol Rajapakse (Eds.) [PDF]

  3. Diophantine and Lattice Cryptanalysis of the RSA Cryptosystem . Artificial Intelligence, Evolutionary Computation and Metaheuristics (AIECM) --In the footsteps of Alan Turing, p. 139-168 (2012). [PDF]

Papers:

  1. Semmouni, M.C., Belkasmi, M., Nitaj, A., Azougaghe, A. (2024). A New Quantum-Resistant Electronic Voting Based on Fully Homomorphic Encryption. In: Mathew, J., Gopal, L., Juwono, F.H. (eds) Artificial Intelligence for Sustainable Energy. GENCITY 2023. Lecture Notes in Electrical Engineering, vol 1142. Springer, Singapore. https://doi.org/10.1007/978-981-99-9833-3_13  (GENCITY 2023)
  1. Semmouni, M. C., Nitaj, A., Belkasmi, M. (2024). Cryptanalysis of RSA with smooth prime sum. Journal of Discrete Mathematical Sciences & Cryptography, Vol. 26 (2023), No. 8, pp. 2183–2203. JDMSC
  2. Applications of Neural Network-Based AI in Cryptography (with Tajjeeddine Rachidi), Crypotography 2023, 7, 39. Cryptography 2023

  3. Generalized Implicit Factorization Problem (with Yansong Feng and Yanbin Pan), In: Carlet, C., Mandal, K., Rijmen, V. (eds) Selected Areas in Cryptography – SAC 2023. SAC 2023. Lecture Notes in Computer Science, vol 14201. Springer, Cham. arXiv:2304.08718 arXiv 2023

  4. Enhanced S-boxes for the Advanced Encryption Standard with maximal periodicity and better avalanche property (with Willy Susilo, Joseph Tonien), Computer Standards & Interfaces, Volume 87, January 2024, 103769 Computer Standards & Interfaces, 2023

  5. Improved Cryptanalysis of the Multi-Power RSA Cryptosystem Variant (with Maher Boudabra), In: El Mrabet, N., De Feo, L., Duquesne, S. (eds) Progress in Cryptology - AFRICACRYPT 2023. AFRICACRYPT 2023. Lecture Notes in Computer Science, vol 14064. Springer, Cham. https://doi.org/10.1007/978-3-031-37679-5_11 Africacrypt 2023

  6. A New RSA Variant Based on Elliptic Curves (with Maher Boudabra), Cryptography 2023, 7, 37. https://doi.org/10.3390/cryptography7030037 : Cryptography 2023

  7. A new attack on some RSA variants (with Willy Susilo, Joseph Tonien), Theoretical Computer Science, Volume 960, 2023, 113898, ISSN 0304-3975. Theoretical Computer Science 2023

  8. Cryptanalysis of the Multi-Power RSA Cryptosystem Variant (with D. Alquié, G. Chassé), In: Beresford, A.R., Patra, A., Bellini, E. (eds) Cryptology and Network Security. CANS 2022. Lecture Notes in Computer Science, vol 13641. Springer, Cham. https://doi.org/10.1007/978-3-031-20974-1_12 CANS 2022

  9. A Generalized Attack on the Multi-prime Power RSA (with Willy Susilo, Joseph Tonien), In L. Batina and J. Daemen (Eds.): AFRICACRYPT 2022, LNCS 13503, pp. 537–549, 2022.

  10. Finding Points on Elliptic Curves with Coppersmith’s Method (with Virgile Dossou-Yovo, Alain Togbé), In D. Poulakis and G. Rahonis (Eds.): CAI 2022, LNCS 13706, pp. 69–80, 2022.

  11. Security Issues of Novel RSA Variant (with Muhammad Rezal Kamel Ariffin, Nurul Nur Hanisah Adenan, Terry Shue Chien Lau, Jiahui Chen), IEEE Access ( Volume: 10) pp. 53788 - 53796 (2022)

  12. The Cubic Pell Digital Algorithm CP256-1299 (with Nur Azman Abu), Proceedings of the 8th International Cryptology and Information Security Conference 2022 (CRYPTOLOGY 2022)

  13. Cryptanalysis of RSA with smooth prime sum (with Meryem Cherkaoui Semmouni, Mostafa Belkasmi), Journal of Discrete Mathematical Sciences and Cryptography, 18 Aug 2022

  14. A New Quantum Resistant Electronic Voting Scheme Based On Fully Homomorphic Encryption (with Meryem Cherkaoui Semmouni, Mostafa Belkasmi, Ali Azougaghe), Advances in Dynamical Systems and Applications, Volume 16, Number 2, (2021) pp. 1637-1652.

  15. Classical Attacks on a Variant of the RSA Cryptosystem (with Muhammad Rezal Bin Kamel Ariffin, Nurul Nur Hanisah Adenan, Nur Azman Abu), LatinCrypt 2021

  16. Exponential Increment of RSA Attack Range via Lattice Based Cryptanalysis (with Muhammad Rezal Kamel Ariffin, Nurul Nur Hanisah Adenan, Domenica Stefania Merenda, and Ali Ahmadian), Multimedia Tools and Applications

  17. Increment of insecure RSA private exponent bound through perfect square RSA diophantine parameters cryptanalysis (with Wan Nur Aqlili Ruzai, Muhammad Rezal Kamel Ariffna, Zahari Mahada, Muhammad Asyraf Asbullaha), to appear in Computer Standards & Interfaces

  18. Cryptanalysis of RSA Variants with Primes Sharing Most Significant Bits (with Meryem Cherkaoui-Semmouni, Willy Susilo, Joseph Tonien), 24th Information Security Conference (ISC 2021)

  19. A Unified Method for Private Exponent Attacks on RSA Using Lattices (with Hatem M. Bahig, Dieaa I. Nassr, Ashraf Bhery), International Journal of Foundations of Computer Science, Vol. 31, No. 02, pp. 207-231 (2020)

  20. A New Improved AES S-box With Enhanced Properties (with  Willy Susilo,  Joseph Tonien), In: Liu, J., Cui, H. (eds) Information Security and Privacy. ACISP 2020. Lecture Notes in Computer Science(), vol 12248. Springer, Cham. https://link.springer.com/chapter/10.1007/978-3-030-55304-3_7

  21. Bitcoin Security With Post Quantum Cryptography (with Meryem Cherkaoui Semmouni, Mostafa Belkasmi), Networked Systems, In: Atig M., Schwarzmann A. (eds) Networked Systems. Lecture Notes in Computer Science, vol 11704. Springer, Cham (2019)

  22. A new public key cryptosystem based on Edwards curves (with Maher Boudabra), Journal of Applied Mathematics and Computing, October 2019, Volume 61, Issue 1–2, pp 431–450, 2019

  23. A new attack on RSA and Demytko’s elliptic curve cryptosystem (with Emmanuel Fouotsa), Journal of Discrete Mathematical Sciences and Cryptography, 2019 [PDF]

  24. Cryptanalysis of the Randomized Version of a Lattice-Based Signature Scheme from PKC'08 (with Haoyu Li, Renzhang Liu and Yanbin Pan), In: Susilo W., Yang G. (eds) Information Security and Privacy. ACISP 2018. Lecture Notes in Computer Science, vol 10946. Springer, Cham. [PDF]

  25. A Generalized Attack on Some Variants of the RSA Cryptosystem (with Yanbin Pan and Joseph Tonien), In: Cid C., Jacobson Jr. M. (eds) Selected Areas in Cryptography – SAC 2018. SAC 2018. Lecture Notes in Computer Science, vol 11349. Springer, Cham.

  26. Cryptanalysis of RSA-type cryptosystems based on Lucas sequences, Gaussian integers and elliptic curves (with Martin Bunder, Willy Susilo and Joseph Tonien), Journal of Information Security and Applications, Volume 40, June 2018, Pages 193-198. [PDF]

  27. A generalized attack on RSA type cryptosystems (with Martin Bunder, Willy Susilo and Joseph Tonien), Theoretical Computer Science, Volume 704, 15 December 2017, Pages 74-81. [PDF]

  28. A new generalization of the KMOV cryptosystem (with Maher Boudabra), Journal of Applied Mathematics and Computing, June 2018, Volume 57, Issue 1–2, pp 229–245. [PDF]

  29. Dirichlet product for boolean functions (with Willy Susilo and Joseph Tonien), Journal of Applied Mathematics and Computing, no. 1-2, 293–312, 2016 [PDF]

  30. A new attack on three variants of the RSA cryptosystem (with Martin Bunder, Willy Susilo and Joseph Tonien), ACISP, the 21st Australasian Conference on Information Security and Privacy, Lecture Notes in Computer Science 9723, 2016, 258-268 [PDF]

  31. New attacks on RSA with moduli $n=p^rq$ (with Tajjeeddine Rachidi), in S. El Hajji, A. Nitaj, C. Carlet, E.M. Souidi (Eds.), Codes, Cryptology, and Information Security, LNCS 9084, Springer, pp. 352-360, 2015. [PDF]

  32. Factoring RSA modulus with weak primes (with Tajjeeddine Rachidi), in S. El Hajji, A. Nitaj, C. Carlet, E.M. Souidi (Eds.), Codes, Cryptology, and Information Security, LNCS 9084, Springer, pp. 361-374, 2015. [PDF]

  33. Implicit factorization of unbalanced RSA moduli (with M.R.K. Ariffin), Journal of Applied Mathematics and Computing, , June 2015, Volume 48, Issue 1-2, pp. 349-363, Springer Berlin Heidelberg, [PDF]

  34. New attacks on the RSA cryptosystem (with M.R.K. Ariffin, D.I. Nassr, H.M. Bahig),  in D. Pointcheval and D. Vergnaud (Eds.): AFRICACRYPT 2014, LNCS 8469, pp. 178–198, 2014. Springer 2014 [PDF]

  35. A new attack on the KMOV cryptosystem, Bulletin of the Korean Mathematical Society 51 (5), 1347–1356 (2014) [PDF]

  36. A new attack on RSA with a composed decryption exponent (with M.O. Douh),  International Journal on Cryptography and Information Security (IJCIS), Vol.3, No. 4, December 2013. [PDF]

  37. An Attack on RSA Using LSBs of Multiples of the Prime Factors,  in A. Youssef, A. Nitaj, A.E. Hassanien (Eds.): AFRICACRYPT 2013, LNCS 7918, pp. 297–310, 2013. Springer-Verlag Berlin Heidelberg 2013 [PDF]

  38. A New Attack on RSA with Two or Three Decryption Exponents,   Journal of Applied Mathematics and Computing (JAMC),  November 2012,  [PDF] 

  39. Cryptanalysis of NTRU with two public keys,  International Journal of Network Security, 16(2): 112-117 (2014),  [PDF] 

  40. A new attack on RSA and CRT-RSA, in A. Mitrokotsa and S. Vaudenay (Eds.): AFRICACRYPT 2012 LNCS 7374, pp. 221–233, 2012. Springer-Verlag Berlin Heidelberg 2012. [PDF]

  41. New vulnerabilities in RSA ,  Discrete Mathematics, Algorithms and Applications (DMAA) [PDF]

  42. A New Vulnerable Class of Exponents in RSA , JP Journal of Algebra, Number Theory and Applications. Volume 21, Number 2, 2011, Pages 203-220. [PDF]

  43. New weak RSA keys , JP Journal of Algebra, Number Theory and Applications. Volume 23, Number 2, 2011, Pages 131-148. [PDF]

  44. Cryptanalysis of RSA using the ratio of the primes, AFRICACRYPT2009, In Bart Preneel (Ed.): Progress in Cryptology - AFRICACRYPT 2009, Lecture Notes in Computer Science 5580 Springer 2009. Slides or [PDF]

  45. Application of ECM to a class of RSA keys, Journal of Discrete Mathematical Sciences & Cryptography , 12, No. 2, 121-137 (2009). [PS] or [PDF]

  46. Cryptanalysis of RSA with constrained keys. International Journal of Number Theory (IJNT), V. 5, p. 311-325 (2009) [PS] or [PDF]

  47. Another generalization of Wiener's attack on RSA, AFRICACRYPT2008, In Serge Vaudenay (Ed.): Progress in Cryptology - AFRICACRYPT 2008, Lecture Notes in Computer Science 5023 Springer 2008. Slides and [PDF]

  48. Isogènes des courbes elliptiques définies sur les rationnels, J. Computational Math. 4 (2002), 337-448. [DVI] [Postscript]

  49. Invariants des courbes de Frey-Hellegouarch et grands groupes de Tate-Shavarevich, Acta Arithmetica 93 (2000), no. 4, pp. 303-327. [DVI] [Postscript]

  50. Some polynomial identities related to the $abc$- conjecture (With G. Greaves), Gyoery, Kalman (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter (1999), 229-236. [DVI] [Postscript]

  51. [DVI] [Postscript]

  52. Aspects expérimentaux de la conjecture $abc$, Séminaire de Théorie des Nombres de Paris, London Math. Soc. 235 (1996), pp. 145-156. [DVI] [Postscript]

  53. La conjecture $abc$, L'Enseignement Mathématique 42 (1996), pp. 3-24. [DVI] [Postscript]

  54. L'algorithme de Cornacchia, Expositiones Math. 13 (1995), pp. 358-365. [DVI] [Postscript]

  55. On a conjecture of Erdos on 3-powerful numbers, Bulletin of the London Mathematical Society 27 (1995), pp. 317-318. [DVI] [Postscript]

  56. Algorithms for finding good examples for the $abc$ and the Szpiro conjectures, Experimental Mathematics 3 (1993), pp. 223-230. [Postscript]

  57. An algorithm for finding good $abc$-examples, Comptes Rendus de l'Académie des Sciences de Paris, 317 (1993), pp. 811-815.

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Informal Notes

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Talk slides

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Math Links

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Cultures



  The Poet Omar Khayyam


  The Arabian Nights


  African Art


  Samarkand

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Contact

e-mail address: abderrahmane.nitaj(at)unicaen.fr

Address:

Département de Mathématiques
Université de Caen
Campus II
Boulevard Maréchal Juin
BP 5186 - 14032 Caen Cedex
France

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Conferences


ICANTA-OUJDA 2023

Oujda, Morocco, November 2-4, 2023

AFRICACRYPT 2023

[Call for papers]

Sousse, Tunisia, July 19-21, 2023

CRYPTOLOGY2022

8th International Cryptology and Information Security Conference 2022 (CRYPTOLOGY2022)

Port Dickson, N. Sembilan, Malaysia, July 26-28, 2022

CIMPA Research School

Cryptography, theoretical and computational aspects of number theory

African Institute of Mathematical Sciences AIMS (M'bour) Senegal

August 15-26, 2022

CIMPA Research School, AIMS Senegal

9th International Conference on Algebraic Informatics

Aristotle University of Thessaloniki, Greece

October 27 – October 29, 2022

CAI 2022

Selected Areas in Cryptography (SAC 2022)

University of Windsor, Ontario, Canada

August 24 to 26, 2022

SAC 2022

IEEE International Mediterranean Conference on Communications and Networking

Athens, Greece

5–8 September 2022

MeditCom 2022

The 5th International Conference on Advanced Communication Technologies and Networking

Marrakesh, Morocco

December 12-14, 2022

CommNet 2022

I4CS22

International Conference on Cryptology, Codes and Cyber Security 2022

Casablanca, Morocco, October 29-28, 2022

Écoles Mathématiques Africaines | CIMPA school

Introduction to Number Theory, Cryptography and related courses

African Institute of Mathematical Sciences AIMS (M'bour) Senegal

September 6-19, 2021

EMA Senegal

Selected Areas in Cryptography SAC 2021, September 29 - October 01, 2021

SAC 2021

AFRICACRYPT 2020

International Conference on Recent Advances in Applied Mathematics 2020 (ICRAAM2020), January 4-6, 2020, Kuala Lumpur, Malaysia

ICRAAM2020

3rd International Conference on Mathematics and Its Applications (ICMACASA2020), February 28-29, 2020, Casablanca, Morocco

ICMACASA2020

INTERNATIONAL CONFERENCE IN CYBERSECURITY AND RECENT TRENDS IN MATHEMATICAL MODELING (SMM'2020), April 20-21, 2020, Tangier, Morocco

SMM'2020

Scientific Event on Information Technology (SEIT'19), April 24-25, 2019 - INPT, Rabat - Morocco

SEIT'19

3rd International Congress Algebra, Number Theory and Applications, April 24-27, 2019, Oujda, Morocco

ICANTA 2019

The 13th International Conference on Provable and Practical Security (PROVSEC 2019), Cairns, Australia, 1 - 4 October 2019

PROVSEC 2019

The 2nd International Conference on Advanced Communication Systems and Information Security (ACOSIS 2019), Marrakesh, Morocco, 20 - 22 November 2019

ACOSIS 2019

Algebra, Codes and Cryptology (A2C 2019), Dakar, Senegal, December 5- 7, 2019

A2C 2019

International Conference on Intelligent Systems and Advanced Computing Sciences, Taza, Morocco, December 26-27, 2019

ISACS'19

AFRICACRYPT 2019

[Presentation]

Rabat, Morocco, July 9-11, 2019

3rd International Conference C2SI-2019 on Codes, Cryptology and Information Security In honor of Pr. Said El Hajji April 22 - 24, 2019, Rabat - Morocco

C2SI 2019

ACROCRYPT 2018 (Arithmétique, Codes et Cryptographie), November 19-20, 2018, Caen, France

ACROCRYPT 2018

2nd International Conference on Applied Mathematics, Fez, October 26-27, 2018

ICAM 2018

AFRICACRYPT 2018

[Presentation]

CRYPTOLOGY 2018

CAEN 2018

Cryptography and Algorithmic Number Theory, CAEN, June 20th-22nd, 2018

AFRICACRYPT 2017

May 24-26, 2017, Dakar, Senegal

[Presentation]

Codes, Cryptology and Information Security, C2SI-Carlet 2017

April 10-12, 2017, Rabat, Morocco

The international conference on Advanced Communication Systems and Information security (ACOSIS 2016)

October 17-19, 2016, Marrakesh, Morocco

The International Colloquium of Algebra, Number Theory, Cryptography and Information Security, ANCI-Taza'2016

November 11-12, 2016, Taza, Morocco

The International Conference on Algebra and its Applications (ICAA 2017)

April 26-28, 2017, Errachidia, Morocco

CRYPTOLOGY 2016, The 5th International Cryptology and Information Security Conference 2016

31st MAY - 2nd JUNE 2016, Sabah, Malaysia

AFRICACRYPT 2016

April 13-15, 2016, Fes, Morocco

CIMPA-MAURITANIA

Théorie Algorithmique des Nombres et Cryptographie

Ecole de Recherche Cimpa, Nouakchott, Mauritanie, 15-26 Février 2016

Codes, Cryptology and Information Security, C2SI-Berger2015 2015

May 26-28, 2015, Rabat, Morocco

AFRICACRYPT 2014

May 28-30, 2014

Marrakech, Morocco

Web page at ENSIAS, Web page at ENS

Presentation

Cryptology 2014

June 24-26, 2014

Putrajaya, Malaysia

Cryptology 2014

4th Workshop on Codes, Cryptography and Communication Systems - WCCCS 2013

November 07-08, 2013

Meknes, Morocco

WCCCS 2013

AFRICACRYPT 2013

June 22-24, 2013

Cairo, Egypt

National Security Days - JNS3 2013

April 26-27, 2013

Rabat, Morocco

National Security Days - JNS3

AFRICACRYPT 2012

July 10-12, 2012

Ifrane, Morocco

Workshop on Advancements in Cryptanalytic Techniques 2012

30 May-1 June 2012

Universiti Putra Malaysia

Web page

JNS2 2012

April 21-22, 2012

Marrakech, Morocco

Web page

NTCCCS 2012

April 26-28, 2012

Oujda, Morocco

Web page

WCCCS 2011

June 19-17, 2011

Rabat, Morocco

AFRICACRYPT 2011

July 4-8, 2011

Dakar, Senegal

AFRICACRYPT 2010

May 03-06, 2010

Stellenbosch, South Africa

AFRICACRYPT 2009

June 21-25, 2009

Gammarth, Tunisia

AFRICACRYPT 2008

June 11-14, 2008

Casablanca, Morocco

SLIDES

Africacrypt 2008 web page

Presentation

Ecole CIMPA de Cryptographie - Oujda

Ecole CIMPA de Cryptographie - Oujda

18 - 30 mai 2009

OUJDA, MAROC

Cours: Cryptanalyse de RSA (pdf)

TP: Cryptanalyse de RSA avec maple 12

Slides du cours

ENSIAS-AMC 2008 Cryptography days

October 28-November 2, 2008

RABAT, MOROCCO

Programme

Programme (pdf)

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