تقرير
A Monotone Circuit Construction for Individually-Secure Multi-Secret Sharing
| العنوان: | A Monotone Circuit Construction for Individually-Secure Multi-Secret Sharing |
|---|---|
| المؤلفون: | Bass, Cailyn, Cohen, Alejandro, D'Oliveira, Rafael G. L., Médard, Muriel |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Information Theory |
| الوصف: | In this work, we introduce a new technique for taking a single-secret sharing scheme with a general access structure and transforming it into an individually secure multi-secret sharing scheme where every secret has the same general access structure. To increase the information rate, we consider Individual Security which guarantees zero mutual information with each secret individually, for any unauthorized subsets. Our approach involves identifying which shares of the single-secret sharing scheme can be replaced by linear combinations of messages. When $m-1$ shares are replaced, our scheme obtains an information rate of $m/|S|$, where $S$ is the set of shares. This provides an improvement over the information rate of $1/|S|$ in the original single-secret sharing scheme. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2405.06773Test |
| رقم الانضمام: | edsarx.2405.06773 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |