Graduate School of Applied Mathematics, Conference / Seminar

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Recent Submissions

Tailored Limb Counts, Faster Arithmetic: Improved TMVP Decompositions for Curve5453 and Curve6071 Cenk, Murat; Kilic, N. Gamze Orhon; Taskim, Halil Kemal; Yayla, Oğuz (2027-01-01) Curve5453 and Curve6071 are Montgomery curves over the primes 2(545) -3 and 2(607) -1, providing 271- and 302-bit classical security, respectively. Their TMVP-based field multiplication in 10-limb representation costs 77 m...
Framework Design for Privacy Preserving Machine Learning in a 6G Vehicular Network Ucar, Alper Umut; Yayla, Oğuz (2027-01-01) The transition to sixth-generation telecommunications introduces a paradigm shift in vehicular networks, enabling hyper-connected autonomous driving through advanced machine learning. However, training these models require...
Analysis and Comparison of Fully Homomorphic Encryption Approaches over Integers Bozkurt, Gansu; Cenk, Murat; Yayla, Oğuz (2027-01-01) Performing computations on encrypted data by first decrypting it causes security flaws. Fully Homomorphic Encryption (FHE) algorithms enable computations on encrypted data without decryption, overcoming the limitations of ...
An Integrated Stochastic Framework for Hybrid Pension Valuation under Mortality and Interest Rate Risk Yıldırım Külekci, Bükre; Kestel, Sevtap Ayşe (2026-09-09)
A Decentralized Behavioral Trust Framework Across Mobile Networks Pekel, Umut; Yayla, Oğuz (2026-06-09) Mobile communication channels have become a major target for large-scale and adaptive fraud, including impersonation, phishing, and unsolicited calls. Existing caller-verification frameworks depend on centralized heuristic...
A Dual-Layer Architecture for Asset-Centric RWA Tokenization on Blockchain Pekel, Umut; Yayla, Oğuz (2026-01-01) Infrastructure assets often generate stable, policy-backed cash flows, yet existing investment instruments bundle asset exposure with corporate balance-sheet and governance risks. Existing RWA tokenization does not change ...
Blockchain-Based Lotteries via Single Secret Leader Election Fettuh, Tegrid; Yayla, Oğuz (2026-01-01) Traditional lottery systems suffer from issues such as centralization, lack of verifiability, and reliance on trusted third parties, leading to potential manipulation and reduced trust among participants. In this work, we ...
Scalable High-Throughput FPGA Architecture for SMAC Message Authentication Code Malal, Ahmet; Güler, Hakan; Aydoğan, Bahadır; Yayla, Oğuz (2026-01-01) SMAC is a recently proposed by Wang et al. stand-alone Message Authentication Code (MAC) constructed from repeated applications of the AES round function and featuring an aggregation mode, SMAC-1×n, for scalable parallel p...
Implementation and Performance Evaluation of Elliptic Curve Cryptography over SECP256R1 on STM32 Microprocessor STM32 Mikro I?şlemcisi Üzerinde SECP256R1 Eliptik E?gri Kriptografisinin Uygulanmasi ve Performans De?gerlendirmesi Isler, Onur; Yayla, Oğuz (2026-01-01) The use of Internet of Things (IoT) devices in embedded systems has become increasingly popular with advancing technologies. These devices become vulnerable to cyber attacks as they gain popularity. The cryptographic opera...
Random Data and Its Cryptographic Applications Yavuzyiğit, Ayşe Eda; Yayla, Oğuz (2026-01-01) Random sequence construction represents fundamental components of modern cryptographic systems. The quantitative assessment of randomness relies upon rigorous statistical testing methodologies, establishing statistical ran...
Hierarchical Threshold Structure-Preserving Signatures Ağırtaş, Ahmet Ramazan; Çelik, Emircan; Yayla, Oğuz (2026-01-01) We introduce a digital signature scheme that combines hierarchical secret sharing with threshold structure-preserving signatures. In this scheme, a global signing key is recursively partitioned into layers, each protected ...
Blockchain-Based Carbon Footprint Management Pekel, Umut; Yayla, Oğuz (2026-01-01) This paper introduces a novel approach to managing carbon footprints using blockchain technology to integrate these footprints intrinsically into the attributes of products, akin to their price. In contrast to conventional...
A Computational Study on Sobol' Sequences Tokmak, Bahri; Uğur, Ömür (2025-10-11)
Spatio-temporal crop yield prediction using time-varying copula and actuaries climate index Yavrum, Cem; Kestel, Sevtap Ayşe; Garrido, José (2025-09-10) Climate anomalies pose significant threats to agricultural productivity and food security by severely disrupting crop yields. While weather conditions at harvest time are important, extreme climate anomalies occurring du...
PIR Schemes from nD-Cyclic and nD-Constacyclic Codes and Their Monomial Equivalence Yılmaz, Burcu Ecem (2025-07-07)
Dilithium-Based Verifiable Timed Signature Scheme Uslu, Erkan; Yayla, Oğuz (2025-01-04)
Weak Enforcement of Boundary Conditions for Maxwell’s Problem Using the Linked Lagrange Multiplier Method Codina, Ramon; Türk, Önder (2025-01-01) In this study, we propose a finite element approximation of Maxwell’s problem with the prescription of essential boundary conditions in a weak way that is based on a linked Lagrange multiplier approach. We consider an augm...
Distributed Verifiable Random Function with Compact Proof Ağırtaş, Ahmet Ramazan; Özer, Arda Buğra; Saygı, Zülfükar; Yayla, Oğuz (2025-01-01) Verifiable Random Functions (VRFs) are cryptographic primitives that generate unpredictable randomness along with proofs that are verifiable, a critical requirement for blockchain applications in decentralized finance, onl...
Compartment-Based and Hierarchical Threshold Delegated Verifiable Accountable Subgroup Multi-signatures Ağırtaş, Ahmet Ramazan; Yayla, Oğuz (2025-01-01) In this paper, we study the compartment-based and hierarchical delegation of signing power of the verifiable accountable subgroup multi-signature (vASM). ASM is a multi-signature in which the participants are accountable f...
Efficient Batch Post-quantum Signatures with Crystals Dilithium Türe, Nazlı Deniz; Cenk, Murat (2025-01-01) Digital signatures ensure authenticity and secure communication. They are used to verify the integrity and authenticity of signed documents and are widely utilized in various fields such as information technologies, financ...

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