Boolean functions with multiplicative complexity 3 and 4

Ç Çalık, MS Turan, R Peralta - Cryptography and Communications, 2020 - Springer
Multiplicative complexity (MC) is defined as the minimum number of AND gates required to
implement a function with a circuit over the basis (AND, XOR, NOT). Boolean functions with …

The multiplicative complexity of interval checking

T Häner, M Soeken - arXiv preprint arXiv:2201.10200, 2022 - arxiv.org
arXiv:2201.10200v1 [quant-ph] 25 Jan 2022 Page 1 arXiv:2201.10200v1 [quant-ph] 25 Jan 2022
The multiplicative complexity of interval checking Thomas Häner and Mathias Soeken Microsoft …

Garbled Circuits Reimagined: Logic Synthesis Unleashes Efficient Secure Computation

M Yu, DS Marakkalage, G De Micheli - Cryptography, 2023 - mdpi.com
Garbled circuit (GC) is one of the few promising protocols to realize general-purpose secure
computation. The target computation is represented by a Boolean circuit that is subsequently …

Security analysis for BIKE, Classic McEliece and HQC against the quantum ISD algorithms

A Wakasugi, M Tada - Cryptology ePrint Archive, 2022 - eprint.iacr.org
Since 2016, NIST has been standardrizing Post-Quantum Cryptosystems, PQCs. Code-
Based Cryptosystem, CBC, which is considered to be one of PQCs, uses the Syndrome …

On the Multiplicative Complexity of Cubic Boolean Functions

MS Turan, R Peralta - Cryptology ePrint Archive, 2021 - eprint.iacr.org
Multiplicative complexity is a relevant complexity measure for many advanced cryptographic
protocols such as multi-party computation, fully homomorphic encryption, and zero …

Optimizing Implementations of Boolean Functions

MS Turan - Cryptology ePrint Archive, 2024 - eprint.iacr.org
Symmetric cryptography primitives are constructed by iterative applications of linear and
nonlinear layers. Constructing efficient circuits for these layers, even for the linear one, is …

New Bounds on the Multiplicative Complexity of Boolean Functions

MS Turan - Cryptology ePrint Archive, 2022 - eprint.iacr.org
Multiplicative Complexity (MC) is defined as the minimum number of AND gates required to
implement a function with a circuit over the basis AND, XOR, NOT. This complexity measure …

[PDF][PDF] Multiplicative Complexity of Boolean Functions

MS Turan, R Peralta - 2021 - csrc.nist.rip
• Lightweight Cryptography Project aims to provide symmetric key cryptography solutions
specific to constrained devices.• Post Quantum Cryptography Project aims to standardize …

[PDF][PDF] Optimizing Cryptographic Circuits

LTAN Brandão, Ç Çalık, M Dworkin, R Peralta… - csrc.nist.gov
Optimizing Cryptographic Circuits Page 1 Optimizing Cryptographic Circuits Luís TAN Brandão
· Çağdaş Çalık · Morris Dworkin · René Peralta · Meltem Sönmez Turan Cryptographic …