Murat Cenk

Graduate School of Applied Mathematics
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A fast NTRU software implementation based on 5-way TMVP
Yaman Gökce, Neslihan; Gökce, Anıl Burak; Cenk, Murat (2024-03-01)
The fast and efficient operation of post-quantum cryptographic algorithms has become an important research topic, especially with the recent developments and the process of the PQC Standardization Project by NIST. Various ...
Faster NTRU on ARM Cortex-M4 With TMVP-Based Multiplication
Keskinkurt Paksoy, İrem; Cenk, Murat (2022-07-01)
This paper focuses on speeding up NTRU -one of the lattice-based finalists of the NIST PQC competition -by improving the ring multiplication. The Number Theoretic Transform (NTT), Toom-Cook, and Karatsuba are the most comm...
Improved Polynomial Multiplication Algorithms over Characteristic Three Fields and Applications to NTRU Prime
Yeniaras, Esra; Cenk, Murat (2022-01-01)
This paper introduces a new polynomial multiplication algorithm which decreases the arithmetic complexity and another modified algorithm that speeds up the implementation run-time over the characteristic three fields. We f...
Kuantum Öncesinden Kuantum Sonrasına Eliptik Eğri Kriptografi ve Uygulamaları
Cenk, Murat; Yılmaz, Burcu Ecem; Orhon Kılıç, Neriman Gamze (Nobel Akademik Yayıncılık Eğitim Danışmanlık Tic. Ltd. Şti, 2022-01-01)
Faster characteristic three polynomial multiplication and its application to NTRU Prime decapsulation
Yeniaras, Esra; Cenk, Murat (2022-01-01)
Efficient computation of polynomial multiplication over characteristic three fields is required for post-quantum cryptographic applications which gain importance upon the recent advances in quantum computers. In this paper...
Analysis of Block Recombination and Lazy Interpolation Methods and Their Applications to Saber
Aksoy, Berkin; Cenk, Murat (2022-01-01)
Since the beginning of the National Institute of Standards and Technology (NIST), The Post-Quantum Cryptog-raphy (PQC) Standardization Process, efficient implementations of lattice-based algorithms have been studied extens...
An Improved Range Proof with Base-3 Construction
Günsay, Esra; Onur, Cansu Betin; Cenk, Murat (2021-01-01)
Zero-knowledge protocols (ZKPs) allow a party to prove the validation of secret information to some other party without revealing any information about the secret itself. Appropriate, effective, and efficient use of crypto...
TMVP-Friendly Primes for Efficient Elliptic Curve Cryptography
Taskin, Halil Kemal; Cenk, Murat (2020-12-03)
The need for faster and practical cryptography is a research topic for decades. In case of elliptic curve cryptography, which was proposed by Koblitz and Miller in 1985 as a more efficient alternative to RSA, the applicati...
PLGAKD: A PUF-based Lightweight Group Authentication and Key Distribution Protocol
Yıldız, Hüsnü; Cenk, Murat; Onur, Ertan (Institute of Electrical and Electronics Engineers (IEEE), 2020-11-01)
Securing Internet of Things (IoT) applications that collect and transport sensitive data by guaranteeing authenticity, integrity, and confidentiality is a critical challenge. Reducing computation and communication overhead...
Cortex-M4 optimizations for {R, M} LWE schemes
Alkım, Erdem; Bilgin, Yusuf Alper; Cenk, Murat; Gérard, François (2020-06-01)
This paper proposes various optimizations for lattice-based key encapsulation mechanisms (KEM) using the Number Theoretic Transform (NTT) on the popular ARM Cortex-M4 microcontroller. Improvements come in the form of a fas...
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