What is the ECDSA elliptic curve digital signature algorithm and how does it secure the internet?

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1. 1

   An Efficient Elliptic Curve Digital Signature Algorithm (ECDSA)

   Research paper (Lamba & Sharma)Published Dec 1, 2013Checked Oct 16, 2026

   “In recent years, Elliptic Curve Cryptography (ECC) has attracted the attention of researchers and product developers because of its robust mathematical structure and highest security in comparison to other existing algorithms like RSA (Rivest Adleman and Shameer Public key Algorithm). Elliptic Curve Digital signature represents one of the most widely used security technologies for ensuring un-forge-ability and non-repudiation of digital data. Its performance heavily depends on an operation called point multiplication. Furthermore, root cause of security breakdown of ECDSA is that it shares three points of the elliptic curve public ally which makes it feasible for an adversary to gauge the private key of the signer. In this paper we proposed a new ECDSA which involves not as much of point multiplication operations as in existing ECDSA and shares only two curve points with everyone. The proposed method also reduces the point addition and point doubling operations. It is found to be more secure in contrast to existing ECDSA.”

2. 2

   Design and Implementation of an Efficient Elliptic Curve Digital Signature Algorithm (ECDSA)

   IEEE International IOT, Electronics and Mechatronics Conference (IEMTRONICS) (Genç & Afacan)Published Apr 21, 2021Checked Oct 16, 2026

   “Digital signatures are increasingly used today. It replaces wet signature with the development of technology. Elliptic curve digital signature algorithm (ECDSA) is used in many applications thanks to its security and efficiency. However, some mathematical operations such as inversion operation in modulation slow down the speed of this algorithm. In this study, we propose a more efficient and secure ECDSA. In the proposed method, the inversion operation in modulation of signature generation and signature verification phases is removed. Thus, the efficiency and speed of the ECDSA have been increased without reducing its security. The proposed method is implemented in Python programming language using P-521 elliptic curve and SHA-512 algorithm.”

3. 3

   On the adoption of the elliptic curve digital signature algorithm (ECDSA) in DNSSEC

   International Conference on Network and Service Management (CNSM) (Rijswijk-Deij et al.)Published Oct 1, 2016Checked Oct 16, 2026

   “While DNSSEC is meant to solve security issues in the DNS, it also introduces a new one: the digital signatures significantly increase DNS packet sizes, making DNSSEC an attractive vector to abuse in amplification denial-of-service attacks. By default, DNSSEC uses RSA for digital signatures. Earlier work has shown that alternative signature schemes, based on elliptic curve cryptography, can significantly reduce the impact of signatures on DNS response sizes. In this paper we study the actual adoption of ECDSA by DNSSEC operators, based on longitudinal datasets covering over 50% of the global DNS namespace over a period of 1.5 years. Adoption is still marginal, with just 2.3% of DNSSEC-signed domains in the .com TLD using ECDSA. Nevertheless, use of ECDSA is growing, with at least one large operator leading the pack. And adoption could be up to 42% higher. As we demonstrate, there are barriers to deployment that hamper adoption. Operators wishing to deploy DNSSEC using current recommendations (with ECDSA as signing algorithm) must be mindful of this when planning their deployment.”

4. 4

   Comparative Analysis of Elliptic Curve-Based Cryptographic Approaches for Internet of Things Security

   International Journal of Scientific Research in Computer Science Engineering and Information Technology (Ntayagabiri etPublished Nov 30, 2024Checked Oct 16, 2026

   “Through a detailed evaluation of performance metrics such as key generation speed, execution time, and overall efficiency, the study identifies the strengths and limitations of each algorithm in securing IoT environments. The results reveal that ECDH excels in public key generation speed, making it suitable for applications requiring frequent key exchanges. ECDSA demonstrates the fastest overall execution time, providing an efficient option for digital signatures and authentication. Conversely, ECIES, while slower, offers robust encryption capabilities ideal for scenarios demanding enhanced confidentiality. This comparative study highlights the importance of aligning algorithm selection with specific IoT application requirements, balancing factors like security, performance, resource constraints, and operational complexity. The findings underscore the suitability of ECC-based algorithms in addressing the unique challenges of IoT security.”

5. 5

   Deterministic Usage of the Digital Signature Algorithm (DSA) and Elliptic Curve Digital Signature Algorithm (ECDSA)

   Research paper (Pornin)Published Aug 1, 2013Checked Oct 16, 2026

   “This document defines a deterministic digital signature generation procedure.Such signatures are compatible with standard Digital Signature Algorithm (DSA) and Elliptic Curve Digital Signature Algorithm (ECDSA) digital signatures and can be processed with unmodified verifiers, which need not be aware of the procedure described therein.Deterministic signatures retain the cryptographic security features associated with digital signatures but can be more easily implemented in various environments, since they do not need access to a source of high-quality randomness.”