We propose a biometric identification system where the chosen- and generated-secret keys are used simultaneously, and investigate its fundamental limits from information-theoretic perspectives. The system consists of two phases: enrollment and identification phases. In the enrollment phase, for each user, the encoder uses a secret key, which is chosen independently, and the biometric identifier to generate another secret key and a helper {data}. In the identification phase, observing the biometric sequence of the identified user, the decoder estimates index, chosen- and generated-secret keys of the identified user based on the helper {data} stored in the system database. In this study, the capacity region of such a system is characterized. In the problem setting, we allow chosen- and generated-secret keys to be correlated. As a result, by permitting the correlation of the two secret keys, the sum rate of the identification, chosen- and {generated-secret key} rates can achieve a larger value compared to the case where the keys {do not correlate}. Moreover, the minimum amount of the storage rate changes in accordance with both the identification and chosen-secret key rates, but that of the privacy-leakage rate depends only on the identification rate.
翻译:我们建议采用生物鉴别识别系统,同时使用所选和生成的绝密密钥,并从信息理论角度调查其基本限度。该系统由两个阶段组成:注册和识别阶段。在注册阶段,编码器对每个用户使用一个独立选择的秘密钥匙,而生物鉴别识别特征则生成另一个秘密钥匙和帮助器{数据}。在识别阶段,观察被识别用户的生物鉴别序列,根据系统数据库存储的帮助器{数据}来观察已识别用户的生物编码估计索引、所选和生成的秘密密钥。在这项研究中,这种系统的能力区域具有特征。在设定问题时,我们允许选择和生成的秘密密钥相互关联。因此,允许两个秘密密钥的关联性,与钥匙{不相关}相比,识别、选择和{生成的保密密钥}率可以达到更大的价值。此外,存储率的最小值变化取决于识别和选择的保密关键率,但隐私率的识别率取决于保密率。