Full homomorphic encryption method based on random unitary matrix in outsourcing calculation

The invention discloses a full homomorphic encryption method based on random unitary matrix in outsourcing calculation. The method has the full homomorphic encryption feature, also can be applied to non-integer field calculation, and has the integrity verification feature of a full-number field. Com...

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Hauptverfasser: ZHANG MINGWU, SHU HONGZHANG, CHEN YONGHUI, YUAN JINLONG, XIE HAITAO
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SHU HONGZHANG
CHEN YONGHUI
YUAN JINLONG
XIE HAITAO
description The invention discloses a full homomorphic encryption method based on random unitary matrix in outsourcing calculation. The method has the full homomorphic encryption feature, also can be applied to non-integer field calculation, and has the integrity verification feature of a full-number field. Compared with the classical cryptography scheme, which can only be applied to integer fields. The method can be applied to any number field that can be operated by any matrix, including real numbers, complex numbers, etc. Compared with existing encryption methods of the same type, the scheme not only has full homomorphism, but also does not introduce ill-conditioned condition number to post-encryption calculation as a unitary matrix is adopted. The method is suitable for any matrix encryption; as the homomorphism is good, the method is especially suitable for independent computing and encryption applications, such as outsourcing computing. 本发明公开了种外包计算中基于随机酉矩阵的全同态加密方法。本方法既有全同态加密特性,又能应用于非整数域计算,同时具有全数域的诚实性校验特性。相比经典密码学方案只
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The method has the full homomorphic encryption feature, also can be applied to non-integer field calculation, and has the integrity verification feature of a full-number field. Compared with the classical cryptography scheme, which can only be applied to integer fields. The method can be applied to any number field that can be operated by any matrix, including real numbers, complex numbers, etc. Compared with existing encryption methods of the same type, the scheme not only has full homomorphism, but also does not introduce ill-conditioned condition number to post-encryption calculation as a unitary matrix is adopted. 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subjects ELECTRIC COMMUNICATION TECHNIQUE
ELECTRICITY
TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHICCOMMUNICATION
title Full homomorphic encryption method based on random unitary matrix in outsourcing calculation
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