# Aggregation and Embedding for Group Membership Verification

## TL;DR

This paper introduces a secure group membership verification protocol that uses signature quantization and aggregation to protect client identities and prevent server reconstruction, balancing security and accuracy.

## Contribution

It presents a novel protocol combining signature quantization and aggregation to enhance privacy in group verification systems.

## Key findings

- The protocol effectively prevents signature reconstruction by the server.
- Experimental results demonstrate a trade-off between security and error rates.
- Theoretical analysis confirms the robustness of the approach.

## Abstract

This paper proposes a group membership verification protocol preventing the curious but honest server from reconstructing the enrolled signatures and inferring the identity of querying clients. The protocol quantizes the signatures into discrete embeddings, making reconstruction difficult. It also aggregates multiple embeddings into representative values, impeding identification. Theoretical and experimental results show the trade-off between the security and the error rates.