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Regular Syndrome Decoding Is Easier Than Previously Estimated

Jiseung Kim, Minkyu Kim, Changmin Lee, Hochang Lee · 2026 · arXiv

DOI: 10.48550/arXiv.2610.29175 · open-access PDF

Spanish

El problema de descifrado de síndrome regular (RSD) es una variante estructurada del descifrado de síndrome clásico y se basa en un número creciente de construcciones criptográficas eficientes, incluyendo protocolos de conocimiento cero, generadores de correlación pseudorandom, y MPC en las firmas de la cabeza. Aunque RSD se cree generalmente que es computacionalmente difícil, los trabajos recientes han demostrado que los ataques algebraicos pueden superar el descifrado de conjuntos de información en regímenes de parámetros importantes de RSD. Construyendo en esta línea de trabajo, revisitamos la dureza concreta de RSD y mostramos que muchos conjuntos de parámetros ampliamente utilizados son sustancialmente

Machine translation (Meta M2M100); the English original follows.

Abstract

The Regular Syndrome Decoding (RSD) problem is a structured variant of classical Syndrome Decoding and underlies a growing number of efficient cryptographic constructions, including zero knowledge protocols, pseudorandom correlation generators, and MPC in the Head signatures. Although RSD is generally believed to be computationally hard, recent works have shown that algebraic attacks can outperform information set decoding on important RSD parameter regimes. Building on this line of work, we revisit the concrete hardness of RSD and show that many widely used parameter sets are substantially ea

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