Decoding Problems via Quantization

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Bibliographic Details
Title: Decoding Problems via Quantization
Authors: Purtipli, Bharath
Publication Year: 2025
Collection: Munich University of Technology (TUM): mediaTUM
Subject Terms: Code-based Cryptography, Hamming Quasi-Cyclic, Post-Quantum Cryptography, Lossy Source Coding, 000 Informatik, Wissen, Systeme
Description: Due to the vulnerability of current state-of-the-art public-key cryptosystems to efficient attacks using quantum computers, novel quantum-resistant algorithms are required. Code-based cryptosystems such as Hamming Quasi-Cyclic (HQC) are of particular interest not only because they are assumed to be safe from quantum attacks, but they are also possible candidates for fully homomorphic encryption schemes [bacr25]. However, they suffer from large ciphertext sizes which leads to inefficient communication. In this work, we explore the feasibility of quantization as a means to reduce the ciphertext length in code-based cryptosystems. We successfully reduced the ciphertext length of the HQC scheme by 12% by introducing a trade-off in the computational complexity of encryption and decryption.
Document Type: master thesis
File Description: application/pdf
Language: English
Relation: https://mediatum.ub.tum.de/1792261; https://mediatum.ub.tum.de/doc/1792261/document.pdf
Availability: https://mediatum.ub.tum.de/1792261
https://mediatum.ub.tum.de/doc/1792261/document.pdf
Rights: info:eu-repo/semantics/openAccess
Accession Number: edsbas.E982180
Database: BASE
Description
Abstract:Due to the vulnerability of current state-of-the-art public-key cryptosystems to efficient attacks using quantum computers, novel quantum-resistant algorithms are required. Code-based cryptosystems such as Hamming Quasi-Cyclic (HQC) are of particular interest not only because they are assumed to be safe from quantum attacks, but they are also possible candidates for fully homomorphic encryption schemes [bacr25]. However, they suffer from large ciphertext sizes which leads to inefficient communication. In this work, we explore the feasibility of quantization as a means to reduce the ciphertext length in code-based cryptosystems. We successfully reduced the ciphertext length of the HQC scheme by 12% by introducing a trade-off in the computational complexity of encryption and decryption.