A Course in Number Theory and Cryptography

Curves, Codes and Cryptography

Blake, I. F. (1998) · Springer eBooks · doi:10.1007/978-1-4615-5121-8_6 · Cited by 1

An ML estimation based robust Chinese remainder theorem for reals

Wang, W., Li, X., & Xia, X. (2015) · IEEE China Summit and International Conference on Signal and Information Processing (ChinaSIP) · doi:10.1109/chinasip.2015.7230425 · Cited by 1

Modular Integer Arithmetic for Public Key Cryptography

Güneysu, T. E., & Paar, C. (2009) · Integrated circuits and systems · doi:10.1007/978-0-387-71829-3_1 · Cited by 1

A New Substitution Block Cipher Using Genetic Algorithm

Nagaraj, S., Raju, D. S. V. P., & Bhamidipati, K. (2012) · Advances in intelligent systems and computing · doi:10.1007/978-3-642-35314-7_39 · Cited by 1

Fast parallel bio-molecular logic computing algorithms of discrete logarithm

Ho, M. S.-H., & Shih, Y.-Y. (2008) · IEEE International Conference on Bioinformatics and Bioengineering (BIBE) · doi:10.1109/bibe.2008.4696660 · Cited by 1

Elliptic Curve Scalar Multiplication with a Bijective Transform

Nagai, Y., Shirase, M., & Izu, T. (2014) · International Conference on Innovative Mobile and Internet Services in Ubiquitous Computing (IMIS) · doi:10.1109/imis.2014.35 · Cited by 1

Coset intersection of irreducible plane cubics

Korchmáros, G., & Pace, N. (2013) · Designs Codes and Cryptography · doi:10.1007/s10623-013-9806-7 · Cited by 1

A one-way function from thermodynamics and applications to cryptography

Hungerbühler, N., & Struwe, M. (2003) · Elemente der Mathematik · doi:10.1007/s000170300008 · Cited by 1

(2,1)-Lagged Fibonacci Generators Using Elliptic Curves over Finite Fields

Shankar, B. R., & Karuna, K. K. (2009) · International Conference on Computer Engineering and Technology · doi:10.1109/iccet.2009.103 · Cited by 1

Simulated Cryptography Algorithm for Enhanced Security of Cloud Data

KumarDash, S., & Panigrahy, C. (2015) · International Journal of Computer Applications · doi:10.5120/19262-0953 · Cited by 1

An analysis of efficient formulas for elliptic curve point addition over binary extension fields

Leinweber, L., Papachristou, C., & Wolff, F. (2011) · Conference on Information Sciences and Systems · doi:10.1109/ciss.2011.5766253 · Cited by 1

Elliptic-Curve Point-Multiplication over GF(2163)

Deschamps, J., & Sutter, G. D. (2008) · Southern Conference on Programmable Logic (SPL) · doi:10.1109/spl.2008.4547727 · Cited by 1

ON CENTRALISERS AND NORMALISERS FOR GROUPS

Širola, B. (2012) · Bulletin of the Australian Mathematical Society · doi:10.1017/s0004972712000548 · Cited by 1

A Method for Recovering a Key in the Key Exchange Cryptosystem by Diophantine Equations

AnuradhaKameswari, P., & Kumar, L. (2014) · International Journal of Computer Applications · doi:10.5120/17592-8302 · Cited by 1

On the Use of Gaussian Integers in Public Key Cryptosystems

Paul, A., Datta, S., Sharma, S., & Majumder, S. (2015) · Smart innovation, systems and technologies · doi:10.1007/978-81-322-2529-4_30 · Cited by 1

Factoring Cryptosystem Moduli when the Co-Factors Difference is Bounded

Akchiche, O., & Khadir, O. (2013) · International Journal of Information Technology Modeling and Computing · doi:10.5121/ijitmc.2013.1301 · Cited by 1

Cryptology Transmitted Message Protection

Izmaǐlov, I. A., Пойзнер, Б. Н., Romanov, I., et al. (2016) · Signals and communication technology · doi:10.1007/978-3-319-30125-9 · Cited by 1

Encode-then-Encrypt: A Novel Framework for Reliable and Secure Communication

Singh, R., Kumar, C. P., & Selvakumar, R. (2019) · Trends in mathematics · doi:10.1007/978-3-030-01123-9_58 · Cited by 1

Block Cipher Based Cryptographic Algorithm For Data Security

Hasan, S. H., Trigui, M. S., & Alquraishee, A. G. A. (2014) · INTERNATIONAL JOURNAL OF MANAGEMENT & INFORMATION TECHNOLOGY · doi:10.24297/ijmit.v8i3.1978 · Cited by 1

Computation of Fermat’s pseudoprimes (Dedicated to the Memory of Professor Leetsch C. Hsu)

He, T.-X., Shiue, P. J.-S., & Chang, Y. (2020) · Journal of Discrete Mathematical Sciences and Cryptography · doi:10.1080/09720529.2019.1662580 · Cited by 1

Definition and Implementation of an Elliptic Curve Cryptosystem using a New Message Mapping Scheme

Lahraoui, Y., Youssef, A., & Lazaar, S. (2020) · International Conference on Networking, Information Systems & Security (NISS) · doi:10.1145/3386723.3387893 · Cited by 1

THE AVERAGE COMPLEXITY OF THE PROBABILISTIC ALGORITHM FOR FINDING PRIMITIVE ROOTS MODULO n

Adamski, T. (2014) · National Security Studies · doi:10.37055/sbn/135234 · Cited by 1

LISTEGA : List-Based STEGANOGRAPHY METHODOLOGY

Desoky, A. (2012) · Auerbach Publications eBooks · doi:10.1201/b11575-16 · Cited by 1

A Modified Wei-Hua-He Digital Signature Scheme Based on Factoring and Discrete Logarithm

Elumalai, R., & Anjaneyulu, G. S. G. N. (2022) · Symmetry · doi:10.3390/sym14112443 · Cited by 1

Shaping Postquantum Cryptography: The Hidden Subgroup and Shift Problems

Dooms, A., Emerencia, C., & Lemmens, A. (2022) · IEEE BITS the Information Theory Magazine · doi:10.1109/mbits.2023.3275885 · Cited by 1

Cryptography Fundamentals

Mihăilescu, M. I., & Niță, Ș. L. (2023) · Apress eBooks · doi:10.1007/978-1-4842-9450-5_2 · Cited by 1

Determination of Common Remainder from Its Redundancy Residual Set

Li, X., Shen, Z., Jia, Y., et al. (2024) · Lecture notes in electrical engineering · doi:10.1007/978-981-97-2757-5_48 · Cited by 1

Quantum Communication and Quantum Cryptography

Simon, D. S. (2025) · Undergraduate texts in physics · doi:10.1007/978-3-031-81315-3_18 · Cited by 1

Blockchain-based anonymous and self-tallying voting with time-bounded ballot secrecy

Shi, Y., Fan, K., Bai, Y., Zhang, C., Zhang, K., Li, H., & Yang, Y. (2025) · Computer Networks · doi:10.1016/j.comnet.2025.111217 · Cited by 1

Solvability and Nilpotency of Lie Algebras in Cryptography and Steganography

Hasić, A., Azizović, M., Azizović, E., & Saracevic, M. H. (2025) · Mathematics · doi:10.3390/math13111824 · Cited by 2

Privacy-Aware Processing of Biometric Templates by Means of Secure Two-Party Computation

Lazzeretti, R., Failla, P., & Barni, M. (2013) · Springer eBooks · doi:10.1007/978-1-4471-5230-9_7 · Cited by 1

Effective Oblivious Transfer Using a Probabilistic Encryption

Frolov, A. (2012) · Advances in intelligent and soft computing · doi:10.1007/978-3-642-30662-4_9 · Cited by 1

A New Stream Cipher Using Natural Numbers Based on Conventional Encryption Techniques: MINNSC

Hegadi, R. S. (2011) · Communications in computer and information science · doi:10.1007/978-3-642-22191-0_37 · Cited by 1

Quantum Attacks on ECDLP-Based Cryptosystems

Yan, S. Y. (2013) · Springer eBooks · doi:10.1007/978-1-4419-7722-9_4 · Cited by 1

ALGORITMOS PARA PRUEBAS DE PRIMALIDAD

Martínez, R., Ortiz, L. A. C., Horna, J., et al. (2014) · Selecciones Matemáticas · doi:10.17268/sel.mat.2014.02.04 · Cited by 1

Improving of Non-Interactive Zero-Knowledge Arguments Using Oblivious Transfer

Frolov, A. (2013) · Advances in intelligent systems and computing · doi:10.1007/978-3-319-00945-2_14 · Cited by 1

Symmetric Key Generation Algorithm in Linear Block Cipher Over LU Decomposition Method

Sundarayya, P., & Prasad, M. G. V. (2017) · International Journal of Trend in Scientific Research and Development · doi:10.31142/ijtsrd90 · Cited by 1

Primality and Factoring

Nongkynrih, A. (2003) · Hindustan Book Agency · doi:10.1007/978-93-86279-15-6_22 · Cited by 1

The duality principle in the theory of development generalized A-M knapsack cryptosystems

Osipyan, V. O., Tlusten, V. S., Laktionova, N. V., et al. (2017) · International Conference on Security of Information and Networks (SIN) · doi:10.1145/3136825.3136898 · Cited by 1

Analysis of the RSA-cryptosystem in abstract number rings

Kondratyonok, N. (2020) · Journal of the Belarusian State University Mathematics and Informatics · doi:10.33581/2520-6508-2020-1-13-21 · Cited by 1

Elliptic Curves in Modern Cryptographic Systems

Andrii, S. (2020) · International Journal of Advanced Trends in Computer Science and Engineering · doi:10.30534/ijatcse/2020/259942020 · Cited by 1

A Decentralized Weighted Vote Traffic Congestion Detection Framework for ITS

Song, Y., Wang, Z., Zhang, J., et al. (2020) · Communications in computer and information science · doi:10.1007/978-981-15-9129-7_18 · Cited by 1

On the Complexity of Attacking Commercial Authentication Products

Kabin, I., Dyka, Z., Klann, D., Schaeffner, J., & Langendöerfer, P. (2020) · Microprocessors and Microsystems · doi:10.1016/j.micpro.2020.103480 · Cited by 1

Specific Congruence Classes of Integer Parameters for Generating BLS Curves for Fast Pairings

Nanjo, Y., Shirase, M., Kusaka, T., et al. (2020) · International Symposium on Computing and Networking Workshops (CANDARW) · doi:10.1109/candarw51189.2020.00073 · Cited by 1

Quantum Attacks on DLP-Based Cryptosystems

Yan, S. Y. (2013) · Springer eBooks · doi:10.1007/978-1-4419-7722-9_3 · Cited by 1

A Modular Dynamical Cryptosystem Based on Continuous-Interval Cellular Automata

Gonzalez, J. D. T., & Kinsner, W. (2012) · IGI Global eBooks · doi:10.4018/978-1-4666-2476-4.ch017 · Cited by 1

Elliptische Kurven

Lenze, B. (2020) · Springer eBooks · doi:10.1007/978-3-658-30028-9_17 · Cited by 1

The fast Fourier transform

Bisseling, R. H. (2020) · doi:10.1093/oso/9780198788348.003.0003 · Cited by 1

A Novel Approach of Symmetric Key Cryptography using Genetic Algorithm Implemented on GPGPU

Srinivasa, K. G., Siddesh, G. M., Hiriyannaiah, S., et al. (2019) · Cryptography · doi:10.4018/978-1-7998-1763-5.ch012 · Cited by 1

Firma electrónica habilitada por tarjetas inteligentes para fines de seguridad

Vite, O. D. L. C., Mora, F. B., & Gómez, A. M. P. (2022) · PÄDI Boletín Científico de Ciencias Básicas e Ingenierías del ICBI · doi:10.29057/icbi.v10i19.8583 · Cited by 1

Implementation of cryptographic algorithm for secured communication in tamil language using python program

Prabu, M. V., & Karthika, R. (2023) · AIP conference proceedings · doi:10.1063/5.0137777 · Cited by 1

Variations on a Miller–Rabin Theme

Ehme, J. (2023) · PRIMUS · doi:10.1080/10511970.2023.2237511 · Cited by 1

Cryptography as a Bridge to Abstract Mathematics

Wootton, A. (2023) · PRIMUS · doi:10.1080/10511970.2023.2242109 · Cited by 1

Cubic Curves over Finite Fields

Silverman, J. H., & Tate, J. (2015) · Undergraduate texts in mathematics · doi:10.1007/978-3-319-18588-0_4 · Cited by 1

Integer Factorization Based Cryptography

Yan, S. Y. (2012) · doi:10.1002/9781118188606.ch7 · Cited by 1

Discrete Logarithm Based Cryptography

Yan, S. Y. (2012) · Wiley eBooks · doi:10.1002/9781118188606.ch8 · Cited by 1

Modular Multiplication in GF(pk) Using Lagrange Representation

Bajard, J.-C., Imbert, L., & Négre, C. (2002) · Lecture notes in computer science · doi:10.1007/3-540-36231-2_22 · Cited by 1

A Result on the Distribution of Quadratic Residues with Applications to Elliptic Curve Cryptography

Muralidhara, V. N., & Sen, S. (2007) · Lecture notes in computer science · doi:10.1007/978-3-540-77026-8_5 · Cited by 1

Spectral Modular Arithmetic for Cryptography

Saldamli, G., & Koç, Ç. K. (2008) · Springer eBooks · doi:10.1007/978-0-387-71817-0_7 · Cited by 1

Remarks on 0-1 Optimization Problems with Superincreasing and Superdecreasing Objective Functions

Chudý, M. (2009) · IFIP advances in information and communication technology · doi:10.1007/978-3-642-04802-9_9 · Cited by 1

Inversion in finite fields of characteristic 2 using logarithmic depth

Sergeev, I. S. (2007) · Moscow University Mathematics Bulletin · doi:10.3103/s0027132207010068 · Cited by 1

Interpolation of the Discrete Logarithm in Finite Fields by Boolean Functions

Lange, T., & Winterhof, A. (2001) · Electronic Notes in Discrete Mathematics · doi:10.1016/s1571-0653(04)00202-1 · Cited by 1

New algorithms and protocols for information authentication in automatic control systems

Moldovyan, A. A., & Moldovyan, N. A. (2008) · Automation and Remote Control · doi:10.1134/s0005117908070151 · Cited by 1

Pseudoirreducible Polynomials: Probabilistic Irreducibility Testing

Kovalchuk, L. (2004) · Cybernetics and Systems Analysis · doi:10.1023/b:casa.0000047882.56182.83 · Cited by 1

Guaranteeing the integrity of data by using a digital signature - [instrumentationnotes]

Yucht, E., Engelberg, S., & Cohen, B. (2009) · IEEE Instrumentation & Measurement Magazine · doi:10.1109/mim.2009.5270530 · Cited by 1

Experiments in Wireless Internet Security

Gupta, S., & Gupta, V. (2004) · Statistics, a series of textbooks and monographs · doi:10.1201/9781420030884.ch3 · Cited by 1

Elliptic Curves

Hankerson, D., & Menezes, A. (2021) · Springer eBooks · doi:10.1007/978-3-642-27739-9_244-2 · Cited by 1

Reviews

Schaefer, E. F. (2015) · American Mathematical Monthly · doi:10.4169/amer.math.monthly.122.01.83 · Cited by 1

Algebraic Geometry

Cox, D. A. (2007) · Wiley eBooks · doi:10.1002/9780470050118.ecse012 · Cited by 1

Fundamentals of Cryptography and Encryption

Gove, R. A. (2000) · Auerbach Publications eBooks · doi:10.1201/9780203325438.ch132 · Cited by 1

An Application of the Gauss Lemma to the Study of Pseudorandom Sequences Based on Quadratic Residues

Tarakanov, V. E. (2003) · Mathematical Notes · doi:10.1023/a:1023267406766

Applied Number Theory in Computing/Cryptography

Yan, S. Y. (2002) · Springer eBooks · doi:10.1007/978-3-662-04773-6_3

LOW COST ELLIPTIC CURVE SCALAR MULTIPLICATION FOR CONSTRAINED DEVICES

Kar, J. (2015) · International Journal of Pure and Apllied Mathematics · doi:10.12732/ijpam.v102i3.14

I numeri naturali

Leonesi, S., & Toffalori, C. (2006) · Unitext · doi:10.1007/88-470-0517-5_2

Elliptic Curve Discrete Logarithm Based Cryptography

Yan, S. Y. (2012) · Wiley eBooks · doi:10.1002/9781118188606.ch9

Acordo de chaves criptográficas hierárquico e sem certificado

Rufino, V. Q. (2009) · doi:10.11606/d.45.2009.tde-19122009-213045

Il Problema della Primalità

Leonesi, S., & Toffalori, C. (2006) · Unitext · doi:10.1007/88-470-0477-2_4

Towards the Performance Optimization of Public-key Algorithms Using Fuzzy Modular Arithematic and Addition Chain

Ganapathy, G., & Mani, K. (2010) · Lecture notes in electrical engineering · doi:10.1007/978-90-481-9419-3_39

Computational/Algorithmic Number Theory

Yan, S. Y. (2002) · Springer eBooks · doi:10.1007/978-3-662-04773-6_2

Flip Flop and Double Substitution based Textual Encryption

Shrivishwanath, D. (2014) · Indian Journal of Science and Technology · doi:10.17485/ijst/2014/v7sp4.14

Algebraic Aspects of Number Theory

Adhikari, M. R., & Adhikari, A. (2013) · Springer eBooks · doi:10.1007/978-81-322-1599-8_10

Efficient Hardware Multiplicative Inverters

Kim, H., & Oh, H.-C. (2003) · Lecture notes in computer science · doi:10.1007/3-540-36552-4_22

NISp1-01: A Countermeasure to Defend Against Relay Attacks in Wireless Networks

Tang, C., & Wu, D. O. (2006) · Globecom · doi:10.1109/glocom.2006.308

The design and evaluation of a cryptography teaching strategy for software engineering students

Dowling, T. (2006) · European Journal of Engineering Education · doi:10.1080/03043790600797434

New Series of Rational Approximations and Some of Their Applications

Tarakanov, V. E. (2004) · Mathematical Notes · doi:10.1023/b:matn.0000036760.37456.f9

Cryptosystem with Rédei Rational Functions via Pellconics

AnuradhaKameswari, P., & Kumari, R. C. (2012) · International Journal of Computer Applications · doi:10.5120/8639-2054

Kryptographie und elliptische Kurven

Meier, W., & Staffelbach, O. (1997) · Elemente der Mathematik · doi:10.1007/s000170050023

Elliptic Curves, Palindrome Numbers and Secret keys

KamathK, K., & Shankar, B. R. (2012) · International Journal of Computer Applications · doi:10.5120/6288-8477

Security of Nyberg-Rueppel digital signatures without message recovery

Adamski, T., & Nowakowski, W. (2014) · Bulletin of the Polish Academy of Sciences Technical Sciences · doi:10.2478/bpasts-2014-0090

Some Cryptographic Weakness and the Ways to Avoid Them in ICT Services of Developing Countries.

Hyka, D., & Benusi, A. (2014) · European Journal of Sustainable Development · doi:10.14207/ejsd.2014.v3n2p73

A quick exponentiation algorithm for 3 × 3 block upper triangular matrices

Álvarez, R., Gallardo, C., Vicent, J. F., et al. (2012) · Applied Mathematics and Computation · doi:10.1016/j.amc.2012.08.042

Fast group operations on elliptic curves in Maple

Yan, S. Y., & James, G. (1999) · Computers & Mathematics with Applications · doi:10.1016/s0898-1221(99)00106-6

On finding Fermat’s pairs

Jormakka, J. (2007) · Journal of Discrete Mathematical Sciences and Cryptography · doi:10.1080/09720529.2007.10698128

Cramer–Damgård signatures revisited: Efficient flat-tree signatures based on factoring

Catalano, D., & Gennaro, R. (2006) · Theoretical Computer Science · doi:10.1016/j.tcs.2006.10.029

The operation of the elliptic curve cryptology in IPv6

Lo, C.-Y. (2005) · Journal of Discrete Mathematical Sciences and Cryptography · doi:10.1080/09720529.2005.10698051

A Novel Password based Multi Party Key Agreement Protocol on Elliptic Curve

Alghazzawi, D. (2012) · International Journal of Computer Science and Information Technology · doi:10.5121/ijcsit.2012.4106

Implementing Multi-party Key Exchange by Linear Combination of Elliptic Curve Points

Yang, J., & Yang, X. (2008) · International Symposium on Electronic Commerce and Security · doi:10.1109/isecs.2008.209

Design and Implementation of Secure Stream Cipher based on Elliptic Curves on Time Shared Basis

SLalmohan, K., Deepthi, P. P., & Sathidevi, P. S. (2013) · International Journal of Computer Applications · doi:10.5120/11702-7276

Performance Evaluation of Sextic Curve Cryptography and Probability Symmetric Curve Cryptography in Wireless Sensor Networks

R.SamEmmanuel, W. (2013) · International Journal of Computer Applications · doi:10.5120/9915-4514

Computing in the Jacobian of a $C_{34}$ curve

Soondug, K. I. M. (2004) · Tohoku Mathematical Publications · doi:10.2748/tmpub.30.1

Course Organisers: Course Organisers: Course Organisers: Course Organisers

Chavatte‐Palmer, P. (2023) · HAL (Le Centre pour la Communication Scientifique Directe)

Revamping an English for Specific Academic Purposes Course for Problem-Based Learning: Reflections from Course DevelopersPreprint

Yung, K. W. H., & Fong, N. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4410387

The Views of the Undergraduate Students who are Taking the Course of Piano about the Course

UMUZDAŞ, M. S. (2014) · Procedia - Social and Behavioral Sciences · doi:10.1016/j.sbspro.2014.01.1004

Prerequisite Course Recommendation Based on Course Description and Students’ Grades

Zhou, H. (2020) · Journal of Purdue Undergraduate Research · doi:10.7771/2158-4052.1457

Reform and Practice of the Course Whole Assessment and Evaluation of Professional Course—Take a Course in Building Materials as Example

张, 国. (2021) · Advances in Education · doi:10.12677/ae.2021.111027