Abstract: Aspects of the present disclosure involve a method, a system and a computer readable memory to perform a cryptographic operation that includes identifying a first set of mutually coprime numbers, obtaining a second set of input numbers coprime with a corresponding one of the first set of mutually coprime numbers, obtaining an output number that is a weighted sum of the second set of input numbers, each of the second set of input numbers being taken with a weight comprising a product of all of the first set of mutually coprime numbers except the corresponding one of the first set of mutually coprime numbers, and performing the cryptographic operation using the output number.

Abstract: A computing system includes a host device and a root of trust (RoT) device for performing batch encryption and decryption operations facilitated by a direct memory access (DMA) engine. The host device generates a command table for batch processing of a set of address tables that each describe a set of data blocks of a file to be encrypted or decrypted. The DMA engine facilitates a DMA transfer of the command table from the host memory to an RoT memory of the RoT device. The RoT device then performs batch processing of the address tables referenced in the command table. For each address table, the DMA engine copies a set of data blocks from the host memory to the RoT memory, a cryptographic engine encrypts or decrypts the data blocks, and the DMA engine copies the transformed data blocks back to the host memory.

Abstract: A computing system includes a host device and a root of trust (RoT) device for performing batch encryption and decryption operations facilitated by a direct memory access (DMA) engine. The host device generates a command table for batch processing of a set of address tables that each describe a set of data blocks of a file to be encrypted or decrypted. The DMA engine facilitates a DMA transfer of the command table from the host memory to an RoT memory of the RoT device. The RoT device then performs batch processing of the address tables referenced in the command table. For each address table, the DMA engine copies a set of data blocks from the host memory to the RoT memory, a cryptographic engine encrypts or decrypts the data blocks, and the DMA engine copies the transformed data blocks back to the host memory.

Abstract: Aspects of the present disclosure involve a method, a system and a computer readable memory to perform a cryptographic operation that includes identifying a first set of mutually coprime numbers, obtaining a second set of input numbers coprime with a corresponding one of the first set of mutually coprime numbers, obtaining an output number that is a weighted sum of the second set of input numbers, each of the second set of input numbers being taken with a weight comprising a product of all of the first set of mutually coprime numbers except the corresponding one of the first set of mutually coprime numbers, and performing the cryptographic operation using the output number.

Abstract: Aspects of the present disclosure involve a method, a system and a computer readable memory to generate and use prime numbers in cryptographic operations by determining one or more polynomial functions that have no roots modulo each of a predefined set of prime numbers, selecting one or more input numbers, generating a candidate number by applying one or more instances of the one or more polynomial functions to the one or more input numbers, determining that the candidate number is a prime number, and using the determined prime number to decrypt an input into the cryptographic operation.