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Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0 ...
Aladin Virmaux
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Towards Ordinal Data Science [PDF]
Transactions on Graph Data and Knowledge, 2023 Order is one of the main instruments to measure the relationship between objects in (empirical) data. However, compared to methods that use numerical properties of objects, the amount of ordinal methods developed is rather small.
Stumme, Gerd +2 more
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Quantum-Resistant Cryptography for the Internet of Things Based on Location-Based Lattices
IEEE Access, 2021 An important enabler of the Internet of Things (IoT) is the Narrow-Band Internet of Things (NB-IoT) technology, which is a 3GPP standards compliant connectivity solution.
Ohood Saud Althobaiti, Mischa Dohler
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Security Analysis of Hybrid Attack for NTRU-Class Encryption Schemes
IEEE Access, 2023 One of the significant post-quantum cryptographic candidates is the NTRU public key cryptosystem. It operates on polynomial rings, where the parameter largely determines the security of the system.
Alla Levina +2 more
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The polynomial learning with errors problem and the smearing condition
Journal of Mathematical Cryptology, 2022 As quantum computing advances rapidly, guaranteeing the security of cryptographic protocols resistant to quantum attacks is paramount. Some leading candidate cryptosystems use the learning with errors (LWE) problem, attractive for its simplicity and ...
Babinkostova Liljana +4 more
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3D Printed Elastomeric Lattices With Embedded Deformation Sensing
IEEE Access, 2020 New durable elastomeric materials are commercially available for 3D printing, enabling a new class of consumer wearable applications. The mechanical response of soft 3D printed lattices can now be tailored for improved safety and comfort by (a ...
Carolyn Carradero Santiago +6 more
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IEEE Access, 2021 Polynomial-time attacks designed to run on quantum computers and capable of breaking RSA and AES are already known. It is imperative to develop quantum-resistant algorithms before quantum computers become available.
Ricardo Neftali Pontaza Rodas +3 more
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R-LWE-Based Distributed Key Generation and Threshold Decryption
Mathematics, 2022 Ever since the appearance of quantum computers, prime factoring and discrete logarithm-based cryptography have been questioned, giving birth to the so-called post-quantum cryptography.
Ferran Alborch +2 more
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Revocable Identity-Based Encryption Scheme Under LWE Assumption in the Standard Model
IEEE Access, 2018 A revocable identity-based encryption (IBE) scheme under learning with error (LWE) assumption from lattice is proposed; compared with the existing IBE schemes from lattices, two improvements are available in the new scheme.
Yaling Zhang, Shangping Wang, Qing Du
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The Effects of Defects and Damage in the Mechanical Behavior of Ti6Al4V Lattices
Frontiers in Materials, 2019 With recent advances in manufacturing methods for metals with defined, complex shapes, the investigation of metallic lattice materials (metals containing significant porosity with a regular arrangement of the solid, frequently in the form of thin ...
Russell Goodall +7 more
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