[Resource Topic] 2021/701: Multidimentional ModDiv public key exchange protocol

Welcome to the resource topic for 2021/701

Title:
Multidimentional ModDiv public key exchange protocol

Authors: Samir Bouftass

Abstract:

This paper presents Multidimentional ModDiv public key exchange protocol which security is based on the hardness of an LWR problem instance consisting on finding a secret vector \textbf{X} in \mathbb{Z}_{q}^{n} knowing vectors \textbf{A} and \textbf{B} respectively in \mathbb{Z}_{p}^{m} and \mathbb{Z}_{p-q}^{m-n}, where elements of vector \textbf{B} are defined as follows : B(i) = (\sum_{j=1}^{j=n} A(i+n-j) \times X(j)) Mod(P)Div(Q). Mod is integer modulo, Div is integer division, P and Q are known positive integers which sizes in bits are respectively p and q which satisfy p > 2 \times q . m and n satisfy m >2 \times n .

ePrint: https://eprint.iacr.org/2021/701

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