Advanced New Technologies Co., Ltd.

Alibaba Group Holding Limited

Hao Lei

Li Lin

Yao Wang

Zhangjie Huang

Huanyu Ma

Shuai Han

Wenbin Zhang

Lichun Li

Disclosed herein are methods, systems, and apparatus, including computer programs encoded on computer storage media, for recovering and verifying a public key. One of the methods includes accepting information encoding parameters of an elliptic curve, a published public key, a hash value of a message, a digital signature, and an identification parameter; generating a recovered public key based on the parameters of the elliptic curve, the hash value of the message, the digital signature, and the identification parameter; comparing the published public key and the recovered public key to verify the published public key.

Method for restoring public key based on SM2 signature

A computer-implemented method, non-transitory, computer-readable medium, and computer-implemented system are provided for implementing privacy protection. In an implementation, a public key pk={N, h} corresponding to a target user is obtained, where h is a generator of a predetermined cyclic group with a size of k in a random number space Z*, a length of k is i bits, a length of N is n bits, and i&#x3c;&#x3c;n. A random number r is selected, so that hbelongs to the predetermined cyclic group. To-be-encrypted data m, corresponding to the target user using the public key pk and the random number r, is processed to generate a homomorphic ciphertext c=(1+N)&#xb7;(hmod N)mod N. The homomorphic ciphertext c is provided to the target user, where the homomorphic ciphertext c can be decrypted using a private key sk to obtain the data m.

Homomorphic data decryption method and apparatus for implementing privacy protection

Implementations are directed to cross-asset trading in blockchain networks, and include a first node providing transaction information based on a first value, a second value, and an exchange rate of a second node, receiving, from the second node, a first evidence set, a first range proof, and a digital signature of the second node, and submitting the transaction for verification based on the first range proof, a second range proof, the first evidence set, a second evidence set, a digital signature of the first node, and the digital signature of the second node, the transaction being executed to decrease a balance of the first node by the first value, increase a first balance of the second node by the first value, decrease a second balance of the second node by the second value, and increase a balance of the third node by the second value.

Cross-asset trading within blockchain networks

A computer-implemented method, non-transitory, computer-readable medium, and computer-implemented system are provided for implementing privacy protection. In an implementation, a public key pk={N, h} corresponding to a target user is obtained, where h is a generator of a predetermined cyclic group with a size of k in a random number space Z*, a length of k is i bits, a length of N is n bits, and i&#x3c;&#x3c;n. A random number r is selected, so thatbelongs to the predetermined cyclic group. To-be-encrypted data m, corresponding to the target user using the public key pk and the random number r, is processed to generate a homomorphic ciphertext c=(1+N)&#xb7;(hmod N)mod N. The homomorphic ciphertext c is provided to the target user, where the homomorphic ciphertext c can be decrypted using a private key sk to obtain the data m.

Growing community of inventors

Hangzhou, China

Hao Lei