Functional encryption (FE) is a novel paradigm for encryption scheme which allows tremendous flexibility in accessing encrypted information. In FE, a user can learn specific function of encrypted messages by restricted functional key and reveal nothing else about the messages. Inner product encryption (IPE) is a special type of functional encryption where the decryption algorithm, given a ciphertext related to a vector x and a secret key related to a vector y , computes the inner product x · y . In this paper, we construct an efficient private-key functional encryption (FE) for inner product with simulation-based security, which is much stronger than indistinguishability-based security, under the External Decisional Linear assumption in the standard model. Compared with the existing schemes, our construction is faster in encryption and decryption, and the master secret key, secret keys and ciphertexts are shorter.

中文翻译：

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具有基于模拟的安全性的内积的高效功能加密

功能加密 (FE) 是一种新颖的加密方案范式，它允许在访问加密信息方面具有极大的灵活性。在 FE 中，用户可以通过受限制的功能密钥了解加密消息的特定功能，而不会透露消息的其他信息。内积加密 (IPE) 是一种特殊类型的功能加密，其中解密算法在给定与向量 x 相关的密文和与向量 y 相关的密钥的情况下，计算内积 x · y 。在本文中，我们在标准模型中的外部决策线性假设下，为具有基于模拟的安全性的内积构建了一种有效的私钥功能加密（FE），其比基于不可区分性的安全性强得多。与现有方案相比，我们的构建在加密和解密方面更快，