A first system creates and sends encryption key data to multiple data sources. A second system receives data encrypted using the encryption key data from the multiple data sources; the data may include noise data such that, even if decrypted, the original data cannot be discovered. Because the encryption is additively homomorphic, the second system may create encrypted summation data using the encrypted data. The first system separately receives the noise data encrypted using the same technique as the encrypted data. The second system may send the encrypted summation data to the first system, which may then remove the noise data from the encrypted summation data to create unencrypted summation data.

A method for searching an encrypted file comprises: receiving a query from a first device of a set of devices; tokenizing the query; searching the encrypted file, without decrypting the file, for the tokenized query; aggregating results of the search; and outputting the aggregated results. The searching includes checking a bloom filter of an index of the encrypted file. The index includes a file public secret (R), a proof of work for the file secret (Rproof), a multipart threshold public encryption key (LKe-pub), a multipart threshold public search key (LKs-pub), and the bloom filter. The bloom filter including index values that are elliptic curve paired between a curve-hashed token of the encrypted file and the product of the encrypted file's ephemeral secret value (r) and the multipart threshold public search key (LKs-pub).

The present disclosure relates to a method and device for performing an elliptic curve cryptography computation comprising: twisting, by a first device based on a first index of quadratic or higher order twist (d), a first point (P′KB) on a first elliptic curve over a further elliptic curve twisted with respect to the first elliptic curve to generate a twisted key (PKB); transmitting the twisted key (PKB) to a further device; receiving, from the further device, a return value (ShS) generated based on the twisted key (PKB); and twisting, by the first device based on the first index of quadratic or higher order twist (d), the return value (ShS) over the first elliptic curve to generate a result (ShS′) of the ECC computation.

A scalar multiplication operation includes an iterative procedure performing a set of operations at each iteration on a bit or on a group of consecutive bits of a secret key. The multiplication operation includes multiplying values of projective format coordinates by a random value. The random value is a product of a random number generated over a range having as end value a first value, with a second value, which is larger than said first value. The first value is a power of two of a word size multiplied by a multiplier value, minus one. The second value is equal to a power of two of a number of bits of the coordinates divided by the first value. The multiplier value is an integer greater than or equal to one and smaller than a ratio of said number of bits to the word size.

A system in Elliptic Curve Cryptography (ECC) that offers secure encoding and mapping of a message to the curve E against encryption attacks, such as Chosen Plaintext Attack (CPA) and Ciphertext Only Attack (COA). The system includes, a method to convert the text message to numerical values with manipulation using Initial Vector IV. In addition, the system provides, a method to revert the manipulated values to their original value.

An encryption method comprises: creating an asymmetric profile key comprising a multipart threshold key using a set of user devices; signing a declaration using the profile key and the set of user devices, the declaration identifying the set of user devices; creating an asymmetric location key comprising two multipart threshold keys; sharding and storing the asymmetric location key; creating a symmetric key; encrypting a file with the symmetric key; encrypting the symmetric key with the location key; and storing the encrypted file and encrypted key such that the encrypted file cannot be decrypted without decrypting the location key by a threshold of the set of user devices.

The present disclosure relates to systems and methods for communicating over a network, including encrypting and decrypting communications of data over the network for providing enhanced security utilizing a blockchain-encryption process and a global device ledger. The following also discloses systems for device and session initialization, automation, data capture, security, providing alerts, personalization of settings, and other objectives described in the disclosure. Methods of establishing and monitoring network communications are also disclosed.

Described is an approach for an improved method, system, and computer program product that performs zero-knowledge proof of knowledge of user identification and/or authentication for a decentralized, trustless storage and management of user identification and/or authentication using one or more distributed ledger systems.

A method of performing finite field addition and doubling operations in an elliptic curve cryptography (ECC) authentication scheme as a countermeasure to side-channel attack. The addition and doubling operations are executed using atomic patterns that involve the same sequence and number of operation types, so that the noise consumption and electromagnetic emanation profile of circuitry performing the operations is identical regardless of operation. A subtraction operation using such an atomic pattern is also disclosed.

The invention relates to distributed ledger technologies such as consensus-based blockchains. Computer-implemented N methods for reducing arithmetic circuits derived from smart contracts are described. The invention is implemented using a blockchain network, which may be, for example, a Bitcoin blockchain. A set of conditions encoded in a first programming language is obtained. The set of conditions is converted into a programmatic set of conditions encoded in a second programming language. The programmatic set of conditions is precompiled into precompiled program code. The precompiled program code is transformed into an arithmetic circuit. The arithmetic circuit is reduced to form a reduced arithmetic circuit, and the reduced arithmetic circuit is stored.