A Course in Number Theory and Cryptography

Cryptography for tamil language

Prabu, M. V., Keerthana, N., & Karthika, R. (2023) · AIP conference proceedings · doi:10.1063/5.0137781

Curvas elípticas y funciones zeta

Gutiérrez, J. R. Y. (2022) · doi:10.11144/javeriana.10554.62499

Análise Real: Introdução as Majorações

da Silva, C. J., Soares, W. D. A., Galdino, S. M. L., et al. (2023) · Editora Conhecimento Livre eBooks · doi:10.37423/2023.edcl739

Implementação de esquemas de criptografia e de assinatura sob o modelo de criptografia de chave pública sem certificado

Ramalho, R. D. S. (2008) · doi:10.11606/d.45.2008.tde-20230727-113703

La función zeta sobre superficies abstractas de Riemann: Un primer acercamiento

Bermudez-Tobón, Y., Castro, B., & Hernandez-Rizzo, P. (2023) · Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales · doi:10.18257/raccefyn.1914

Latin Square and Artificial Intelligence Cryptography for Blockchain and Centralized Systems

Desoky, A., Ammar, H. H., Fahmy, G. F., et al. (2023) · Lecture notes on data engineering and communications technologies · doi:10.1007/978-3-031-43247-7_39

Mathematical Background

Xia, Q., Gao, J., Worae, D. A., et al. (2023) · doi:10.1002/9781119989387.ch2

Securing Confidential Information in Big Data Based on Cognitive Artificial Intelligence and Machine Learning

Desoky, A., Ammar, H. H., Fahmy, G. F., et al. (2023) · doi:10.1109/caisais59399.2023.10270607

Análise Real: Introdução as Majorações

da Silva, C. J., Soares, W. D. A., Galdino, S. M. L., et al. (2023) · Editora Conhecimento Livre eBooks · doi:10.37423/2023.edcl788

A Partially Decentralised Protocol for a Distributed Encrypted Storage System

Languasco, A. (2023) · Lecture notes in networks and systems · doi:10.1007/978-3-031-48590-9_19

Cryptography Background

Shandilya, S. K., Datta, A., & Nagar, A. K. (2023) · Studies in computational intelligence · doi:10.1007/978-981-99-7081-0_2

Análise Real: Introdução as Majorações

da Silva, C. J., Soares, W. D. A., Galdino, S. M. L., et al. (2024) · Editora Conhecimento Livre eBooks · doi:10.37423/2024.edcl882

Symmetric Key Exchange Inspired by TpmPreprint

Jarušek, R., Volná, E., Kotyrba, M., & Bujok, P. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4761844

AN MODAL VALENT APPROACH OF THE RSA CRYPTOSYSTEM

Tsimi, J. A. (2023) · International Journal of Applied Mathematics and Machine Learning · doi:10.18642/ijamml_7100122261

MC simulation in shor algorithmPreprint

Ho, N.-C., Yun, N.-J., Ri, S.-B., et al. (2024) · Research Square · doi:10.21203/rs.3.rs-4228989/v1

Introdução a Medida e Integral à Lebesgue com Exercícios

Silva, C., Soares, W. D. A., Galdino, S. M. L., et al. (2024) · Editora Conhecimento Livre eBooks · doi:10.37423/2024.edcl942

Elliptic Curves over the Rationals

Dujella, A. (2024) · Developments in mathematics · doi:10.1007/978-3-031-56724-7_2

Symmetric Key Exchange Inspired by Tree Parity MachinePreprint

Jarušek, R., Volná, E., Kotyrba, M., & Bujok, P. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4892702

On the Number of Prime Divisors of Higher-Order Carmichael Numbers

Eterevsky, O., & Vsemirnov, M. A. (2004) · The Fibonacci Quarterly · doi:10.1080/00150517.2004.12428430

Elliptic Curves

Hankerson, D., & Menezes, A. (2025) · Springer eBooks · doi:10.1007/978-3-030-71522-9_244

Robustness Analysis of Zero-Knowledge Proofs Technique using Subset Sum Problem

Sah, C. P., Kaur, M., & Singh, G. (2024) · International Conference on Contemporary Computing and Informatics (IC3I) · doi:10.1109/ic3i61595.2024.10828818

Elliptic-Curve Factoring, Witnesses and Oracles

Pomykała, J. (2025) · Lecture notes in computer science · doi:10.1007/978-3-031-82380-0_2

Implementing Elliptic Curve Digital Signature to Secure Islanded Microgrid Against False Data Injection AttackPreprint

Hossain, M. J., Taher, M. A., Tariq, M., & Sarwat, A. I. (2025) · SSRN Electronic Journal · doi:10.2139/ssrn.5149590

Adaptation of the modular number system in threshold secret sharing schemes

Chernyavskiy, A. F., Kazlova, A. I., Садов, В. С., et al. (2025) · Informatics · doi:10.37661/1816-0301-2025-22-1-90-97

Some Aspects Regarding RSA Cryptosystem

Flaut, C., Flaut, D., & Hošková-Mayerová, Š. (2025) · Studies in systems, decision and control · doi:10.1007/978-3-031-43506-5_35

New Real-Time Encryption Mechanism for Financial Transactions

Matei, I.-E., Boldea, C. R., & Bogdan-Boldea (2025) · Smart innovation, systems and technologies · doi:10.1007/978-981-96-0161-5_20

Main Directions and Basic Mathematical Ideas of Cryptographic Information Security

Gaivoronski, A. A., Knopov, P. S., Norkin, V. I., et al. (2025) · doi:10.1002/9781394372539.ch9

Exploring Number Theory: From Prime Numbers to Cryptographic Algorithms

Bajaj, K. L. (2024) · Modern Dynamics: Mathematical Progressions. · doi:10.36676/mdmp.v1.i3.36

Applications of Cryptography

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0011

List of Figures

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.002.0007

Key Management

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0009

Symmetric Encryption

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0004

Cryptography for Privacy

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0013

Entity Authentication

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0007

Mathematics Appendix

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.005.0001

Public-Key Encryption

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0005

Everyday Cryptography

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.001.0001

Preface to the Third Edition

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.002.0004

Theoretical versus Practical Security

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0003

List of Tables

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.002.0008

Basic Principles

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0001

Data Integrity

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0006

Management of Public Keys

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0010

Copyright Page

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.002.0003

Cryptography and Society

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0014

Preface to the First Edition

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.002.0005

Historical Cryptosystems

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0002

Implementation of Cryptography

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0008

Closing Remarks

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0015

Cryptography for Personal Devices

Martin, K. M. (2025) · doi:10.1093/oso/9780198903277.003.0012

Performance Evaluation of Data Integrity Mechanisms for Mobile Agents

Gunupudi, V. (2003) · University of North Texas Digital Library (University of North Texas) · doi:10.12794/metadc4366

Post-Quantum Cryptography: Number Theoretic Foundations and Future-Proof Protocols

Mpofu, K. T., & Mthunzi-Kufa, P. T. (2025) · IntechOpen eBooks · doi:10.5772/intechopen.1012847

Adaptive Data Storage, Transmission and Processing System in Fog Computing Using Residue Number System and Artificial Neural Networks

Gorlacev, D., Михайлович, М. Н., Geryugova, A., Lutsenko, V. V., & Zgonnikov, M. (2025) · Lecture notes in networks and systems · doi:10.1007/978-3-032-07275-7_15

Unconstrained Local Optimization

Schäffler, S. (2012) · Springer series in operations research/Springer series in operations research and financial engineering · doi:10.1007/978-1-4614-3927-1_2

Partial Orders, Lattices, Well-Founded Orderings, Unique Prime Factorization in ℤ and GCDs, Equivalence Relations, Fibonacci and Lucas Numbers, Public Key Cryptography and RSA, Distributive Lattices, Boolean Algebras, Heyting Algebras

Gallier, J. H. (2011) · Discrete Mathematics · doi:10.1007/978-1-4419-8047-2_5

Single-Round Zero-Knowledge Proof for the Square-Root Problem in Cloud Systems

Almuhammadi, S. (2025) · IEEE/ACM International Conference on Big Data Computing, Applications and Technologies (BDCAT) · doi:10.1145/3773276.3774871

Extending Elliptic Curve Cryptography for Quantum Readiness

Abhishek, K. (2025) · IEEE International Conference on Public Key Infrastructure and its Applications (PKIA) · doi:10.1109/pkia67529.2025.11347262

Implementing Elliptic Curve Digital Signature (ECDSA) to Secure Islanded Microgrid against False Data Injection (FDI) Attacks

Hossain, M. J., & Jahan, U. N. (2025) · International Conference on Electrical, Control and Instrumentation Engineering (ICECIE) · doi:10.1109/icecie66637.2025.11363833

Design and Development of UART Communication Over RSA Encryption

Vasudeva, G., Mallikarjun, P. Y., Mahadev, S., et al. (2025) · doi:10.1109/icecer65523.2025.11401365

CS-ECC: Chaotic S-box based Elliptic Curve Cryptosystem

Matei, I.-E. (2025) · IEEE International Conference on Intelligent Computer Communication and Processing (ICCP) · doi:10.1109/iccp68926.2025.11427129

Protection de vidéo comprimée par chiffrement sélectif réduit

DuBois, L. (2013) · doi:10.70675/eb107f1ez4eb1z4f6az8ad3z515de72c2f6e

Conception, développement et analyse de systèmes de fonction booléennes décrivant les algorithmes de chiffrement et de déchiffrement de l'Advanced Encryption Standard

Dubois, M. (2017) · theses.fr (ABES) · doi:10.70675/17818ef1zf370z4d38zab4ez92d9ac111117

Morphisms of Drinfeld Modules and their Algorithms

Leudière, A. (2024) · doi:10.70675/d8bc8a39z129az40baz9589za293c6888299

S-PKAD: Secure and privacy-preserving key agreement for low-altitude intelligent transportation systems

Alghanmi, N. A., & Alghanmi, S. A. (2026) · Journal of King Saud University - Computer and Information Sciences · doi:10.1007/s44443-026-00735-1

Ordered quadratic sequences: A solution to integer factorization

Tibesigwa, B. M., Nicholaus, M. R., & Kibona, I. E. (2026) · Mathematics Open · doi:10.1142/s2811007226500136

A Polynomial Public-Key Cryptosystem Based on Jacobian-Preserving Composition

Ahmed, S., & Ciungu, L. C. (2026) · Annals of the University of Craiova Mathematics and Computer Science Series · doi:10.52846/ami.v53i1.2247

PARA PROBLEMİ DİNAMİK PROGRAMLAMA ÇÖZÜMÜ VE DIFFIE-HELLMAN PROTOKOLÜ İLE POLİALFABETİK ASİMETRİK ŞİFRELEME: KRİPTO DİNAMİK ŞİFRELEME TABLOSU YAKLAŞIMI

Avcı, S., Kınay, Ö., Çakmak, E. K., & Çağlar, A. (2026) · Bilim Armonisi · doi:10.37215/bilar.1422973

A Graph-Based Framework for Recursive Self-Invertible Matrix Cryptography Using Complete Graphs K_4

Kumar, V. M., & Dixit, U. (2026) · Boletim da Sociedade Paranaense de Matemática · doi:10.5269/bspm.82383

$$\phi (pq)$$-evaluation algorithm: a novel approach for an efficient retrieval of Euler’s totient of an RSA modulus

Mehta, J., & Rana, H. (2026) · Afrika Matematika · doi:10.1007/s13370-026-01500-3

High-Performance Implementation of AES-128 Encryption and Decryption on FPGA Using Pipeline Architecture with UART Communication

Harshitha, K., DESHAKULKARNI, N. G., & Vihan, N. (2026) · doi:10.1109/cmss69636.2026.11689252

Comparative Study of CRT and Extended Euclidean Algorithm in Solving Linear Diophantine Equations

Tanushka, P. S. (2026) · International Journal of Research & Technology · doi:10.64882/ijrt.v14.i2.1847

Primi e Composti

Leonesi, S., & Toffalori, C. (2006) · Unitext · doi:10.1007/88-470-0477-2_2

An Approach to Encryption Using Superior Fractal Sets

Gupta, C., & Kumar, M. (2012) · Lecture notes in electrical engineering · doi:10.1007/978-1-4614-3363-7_49

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