Technical details.

Overview

QRXis a tool designed to securely share and protect plaintext information. This document provides an in-depth technical explanation of the key mechanisms employed byQRX, including the secret-sharing process and the security features embedded in the system.

Secret-Sharing Mechanism

1. Random Share Generation (shares $[1]$ to$[n - 1]$):

   The first $n - 1$shares are generated as random bytes, each of the same length as the plaintext. These random shares contribute to the overall security of the system by introducing unpredictability.

2. XOR Operation for the Last Share $[n]$:

   The final share $[n]$is computed by performing an XOR operation on all the random shares and the plaintext. Mathematically, the last share$(S_n)$ is calculated as follows:$$S_n = S_1 \oplus S_2 \oplus \ldots \oplus S_{n - 1} \oplus \text{Plaintext}$$

3. Reconstruction:

   To reconstruct the plaintext, all shares are XORed together:$$\text{Plaintext} = S_1 \oplus S_2 \oplus \ldots \oplus S_{n - 1} \oplus S_n$$

Security Features

1. Information-Theoretic Security

   QRXprovides information-theoretic security, meaning that the security of the system is based on mathematical principles rather than computational complexity.

2. Unpredictability of Random Shares

   The inclusion of random shares in the secret-sharing process enhances the system's security by introducing an element of unpredictability.

3. XOR Operation Strength

   The XOR operation used in the secret-sharing process is a bitwise operation that offers a high level of security.

4. Resistance to Partial Knowledge Attacks

   Even if an adversary gains access to a subset of the shares, the information revealed is statistically independent of the original plaintext.

Conclusion

QRXcombines a novel secret-sharing mechanism with robust security features to provide a reliable and efficient tool for protecting sensitive information. The technology's strength lies in its ability to securely distribute information, allowing for decentralized and collaborative access to the original plaintext while maintaining a high level of security against unauthorized access.

For further details on the implementation, algorithms, and security analysis, please refer to the accompanying technical specifications or contact our support team.