A cryptographic method and system. A plurality of ciphers is identified in a message received by a recipient, such message encrypting a digital asset. A private key associated with the recipient is obtained. The private key corresponds to a public key associated with the recipient. The method includes solving for x in the equation: [(f.sub.0(R.sub.0.sup.−1 N′.sub.0 mod S)+P′+f.sub.λ(R.sub.n.sup.−1 N′.sub.n mod S))/(h.sub.0(R.sub.0.sup.−1 N′.sub.0 mod S)+Q′+h.sub.λ(R.sub.n.sup.−1 N′.sub.n mod S))]*h(x)−f(x)=0 mod p, where (i) P′, Q′, N′.sub.0, and N′.sub.n correspond to the ciphers in the received message; (ii) R.sub.0, R.sub.n and S are data elements of the private key; (iii) f(.Math.) is a polynomial function defined by coefficients f.sub.0, f.sub.1, . . . f.sub.λ that are also data elements of the private key; and (iv) h( ) is a polynomial function defined by coefficients h.sub.0, h.sub.1, . . . h.sub.λ that are also data elements of the private key. The value of x is assigned to the digital asset, which is then stored in non-transitory memory or packaged in a message sent over the data network.

Provided is a highly practical cryptographic technology which is capable of being used when encryption and decryption are performed in a single data processing device and which can be said to be unbreakable, or close to unbreakable. A data processing device is configured to generate encrypted data by encrypting processing target data and record the generated encrypted data in a predetermined recording medium, and to decrypt the encrypted data recorded in the recording medium back into the processing target data. The processing target data is data of a text. Encryption is performed in units of plaintext split data generated by splitting the processing target data into pieces having a predetermined number of bits. The units of the splitting are equal to or shorter than a bit length of a code for identifying characters in the text.

Examples are described for dynamically applying a digital watermark to a file, such as a dataset of genomic sequencing data. In one example, a method of dynamically applying a watermark to at least a portion of a file includes generating, using a secret key, a first random seed, generating, using the first random seed, an ordered pseudorandom set of integers, generating, using entity information and timing information, a second random seed, selecting, using the second random seed, a subset of the ordered pseudorandom set of integers, and modifying data at data locations in the file corresponding to at least a portion of the identifiers included in the subset to generate a watermarked file. The method may further include performing a check to determine whether the watermark is present in a file using a sequence of watermark elements that are generated based on the secret key.

Disclosed approaches for validating initialization vectors determining by a configuration control circuit whether or not an input initialization vector is within a range of valid initialization vectors. In response to determining that the initialization vector is within the range of valid initialization vectors, the configuration control circuit decrypts the ciphertext into plaintext using the input initialization vector and configures a memory circuit with the plaintext. In response to determining that the first initialization vector is outside the range of valid initialization vectors, the configuration control circuit signals that the first initialization vector is invalid.

A diamond asset comprising one or more diamonds and an encryption chip is used to asset-back a cryptographic token that can be used to conduct transactions. The cryptographic token is written to a blockchain using a smart contract that is configured to enable a transaction associated with the token in response to two or more of: a signature by the encryption chip, a signature by the owner of the diamond asset, and a validation of a visual layout of the diamond asset.

Example embodiments of the present disclosure relate to devices, methods, apparatuses and computer readable storage media for data encryption and decryption. In example embodiments, a first cipher key and a second cipher key are obtained. The first cipher key comprises a vector of cipher elements, and the second cipher key comprises a set of indices corresponding to a subset matrix of a polarizing matrix. A cipher vector is generated by polar coding of a data vector based on the first and second cipher keys and the polarizing matrix. The data and cipher vectors are combined for encryption of the data vector.

A cryptographic system includes an encryption apparatus including a memory and a processor configured to encrypt a plaintext into a ciphertext. The processor of the encryption apparatus executes generating first information resulting from encryption of the plaintext by an encryption function of a predetermined block cipher using a first secret key; generating second information resulting from encryption of a preset adjustment value by the encryption function using a second secret key; and generating the ciphertext by encrypting an arithmetic operation result of a bitwise exclusive OR of the first information and the second information by the encryption function using the first secret key.

Embodiments of this application provide a hybrid-cloud data storage method and apparatus, a related device, and a cloud system. The data storage method includes: obtaining, by a gateway of a private cloud, to-be-stored data; determining partial data to be encrypted in the to-be-stored data, to obtain first target data; obtaining a first ciphertext obtained after the first target data is encrypted, the first target data being encrypted according to a first key provided by an encryption chip connected to the gateway; generating second target data including the first ciphertext according to the first ciphertext; generating a data slice corresponding to the second target data according to the second target data; and transmitting the data slice corresponding to the second target data to a public cloud for storage.

Described herein are systems and methods that allow for secure wireless communication between a contact lens system and an accessory device to protect sensitive data and prevent unauthorized access to confidential information. In certain embodiments, tampering attempts by potential attackers are thwarted by using a Physically Unclonable Functions (PUF) circuit that is immune to reverse engineering. In addition, sensors monitor a to-be-protected electronic device to detect tampering attempts and physical attacks to ensure the physical integrity of the communication system.

An encryption method and apparatus based on homomorphic encryption using a composition of functions. The encryption method includes generating a ciphertext by encrypting data, and bootstrapping the ciphertext by performing a modular reduction based on a composition of a function for a modulus corresponding to the ciphertext.