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hbACSS: Tsayayyaki Mai Ƙarfi Na Cikakken Sirrin Raba Bayanai Don Aikin MPC

A comprehensive analysis of hbACSS protocols for efficient and robust asynchronous complete secret sharing in multiparty computation systems.
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Table of Contents

1. Gabatarwa

Multiparty Computation (MPC) yana bada damar yin rufaffiyar lissafi a rarraba amma yana fuskantar kalubalen ƙarfi a cikin hanyoyin sadarwa marasa lokaci. Wannan takarda ta gabatar da hbACSS, jerin ka'idojin raba sirri cikakke na asynchronous waɗanda ke cimma madaidaicin juriya tare da lissafi na layi-layi da kuma saɓo na sadarwa.

2. Tsarin Fasaha

2.1 hbPolyCommit Protocol

Tsarin alkawarin polynomial na hbPolyCommit ya zama ginshiƙin hbACSS, yana ba da ingantaccen tabbaci ba tare da saitin amincewa ba. Alkawarin polynomial P(x) na digiri t ana ƙidaya shi azaman C = g^P(τ) inda τ ya zama ƙalubale na bazuwar.

2.2 hbACSS Architecture

hbACSS yana aiki ne cikin matakai uku: rabawa, tabbaci, da sake ginawa. Yana ba da garamin isar da sakamako ko da tare da ɓangarori $t$ na mugunta a cikin jimillar ɓangarori $N = 3t+1$. Yarjejeniyar ta cimma rikitarwar hanyoyin sadarwa $O(N\log N)$ idan aka kwatanta da $O(N^2)$ a cikin aikin da ya gabata.

3. Sakamakon Gwaji

Experimental evaluation shows hbACSS scales efficiently with increasing party count. With 64 parties, hbACSS achieves 3.2x faster sharing and 4.1x faster reconstruction compared to VSS-R. Throughput scales linearly up to 128 parties with sub-second latency for typical parameter sizes.

4. Aiwarar Code

The hbACSS implementation includes core functions for secret sharing and reconstruction. Below is a simplified pseudocode structure:

class hbACSS:

5. Future Applications

hbACSS yana ba da damar ingantaccen MPC preprocessing don aikace-aikace ciki har da kiyaye sirrin injin koyo, decentralized finance, da tsarin zabe mai aminci. Aikin gaba ya haɗa da haɗin kai tare da tsarin blockchain da ingantawa don yanayin wayar hannu.

6. References

  1. Yurek, T., Luo, L., Fairoze, J., Kate, A., & Miller, A. (2022). hbACSS: How to Robustly Raba Many Secrets.
  2. Ben-Or, M., Goldwasser, S., & Wigderson, A. (1988). Completeness theorems for non-cryptographic fault-tolerant distributed computation.
  3. Cramer, R., Damgård, I., & Maurer, U. (2000). General secure multi-party computation from any linear secret-sharing scheme.

7. Critical Analysis

Hit the nail on the head:hbACSS is not an incremental improvement, but a paradigm shift in the field of asynchronous MPC preprocessing—it simultaneously resolves the contradiction between scalability and robustness at both theoretical and engineering levels for the first time.

Chain of logic:Traditional ACSS's $O(N^2)$ complexity stems from each node needing to verify all other nodes' commitments→hbPolyCommit reduces verification overhead to $O(N\log N)$ via linear-complexity polynomial commitments→combined with the optimal fault tolerance $N=3t+1$ in asynchronous networks→achieving a key breakthrough from theoretical construction to engineering usability. This technical path resonates with the evolution from Pinocchio to Groth16 in the zero-knowledge proof field, both achieving orders-of-magnitude improvements through optimization of fundamental cryptographic primitives.

Highlights and Lowlights:The biggest highlight is the first achievement of quasi-linear complexity complete secret sharing in asynchronous settings, rivaling the efficiency of synchronous networks—this is like realizing a "quantum leap" in distributed systems. But the lowlights are equally evident: the paper's network assumptions in concrete implementation are overly idealized, potentially facing adaptation challenges in partially synchronous networks during actual deployment; moreover, integration with existing MPC frameworks (e.g., MP-SPDZ) remains unverified, presenting a "last-mile" problem.

Actionable Insights:For MPC developers, an immediate feasibility assessment should be conducted to integrate hbACSS into existing systems, particularly in scenarios demanding extremely high robustness such as finance and healthcare. For academic researchers, attention should be directed toward the potential generalization of its polynomial commitment techniques to other cryptographic protocols—just as CycleGAN's unsupervised image translation inspired multiple computer vision fields, hbPolyCommit is poised to become a new foundational building block for asynchronous cryptography.