Abstract: A system and method to reduce fast Fourier transforms (FFT) required for bootstrapping in a Fully Homomorphic Encryption process. Ciphertext is separated into a vector of n samples. A fast Fourier transfer (FFT) is performed over a first vector of the samples. An FFT is performed for each of n polynomial terms multiplied by a bootstrap key. A point wise multiplication of each of the FFT outputs of the FFTs of the polynomial terms and the output of the FFT over the vector of the n samples is performed. The result of the FFT over the vector of the n samples is added to the results of the set of pointwise multiplications. An inverse FFT (IFFT) is performed on the FFT over the vector of n samples and the accumulated results of the point-wise multiplications to obtain a bootstrapping result of the ciphertext.

Abstract: A system and method to reduce fast Fourier transforms (FFT) required for bootstrapping in a Fully Homomorphic Encryption process. Ciphertext is separated into a vector of n samples. A fast Fourier transfer (FFT) is performed over a first vector of the samples and a FFT over a bootstrap key. A phase vector of n W(a) terms that are equivalents to the output of a FFT is calculated. A first set of pointwise multiplications of the FFT of the first vector of samples with each of the n W(a) terms in the phase vector is performed. A second set of pointwise multiplications of the results of the first set of pointwise multiplications with the FFT of the bootstrap key is performed. An inverse FFT(IFFT) on the accumulated result of the second set of point-wise multiplications is performed to obtain a bootstrapping result of the ciphertext.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: A method and system of efficient use and programming of a multi-processing core device. The system includes a programming construct that is based on stream-domain code. A programmable core based computing device is disclosed. The computing device includes a plurality of processing cores coupled to each other. A memory stores stream-domain code including a stream defining a stream destination module and a stream source module. The stream source module places data values in the stream and the stream conveys data values from the stream source module to the stream destination module. A runtime system detects when the data values are available to the stream destination module and schedules the stream destination module for execution on one of the plurality of processing cores.

Abstract: In accordance with a method a plurality of subscriber systems are provided, the systems being coupled via a Wide Area Network (WAN) and comprising a first subscriber system. The first subscriber system has processing and non-volatile storage and is suitably programmed for providing a subscriber service to a first subscriber. The first system is disposed in an unsecured location, which is associated with the first subscriber. Subsequently, the subscriber service is provided to the first subscriber. Separately, a task is provided to the first subscriber system via the WAN and is executed on the first subscriber system. An activity record for the execution of the task is logged, based on an amount of at least one of the processing and the non-volatile storage consumed on the first subscriber system during execution of the task.

Abstract: A method and system of compiling and linking source stream programs for efficient use of multi-node devices. The system includes a compiler, a linker, a loader and a runtime component. The process converts a source code stream program to a compiled object code that is used with a programmable node based computing device having a plurality of processing nodes coupled to each other. The programming modules include stream statements for input values and output values in the form of sources and destinations for at least one of the plurality of processing nodes and stream statements that determine the streaming flow of values for the at least one of the plurality of processing nodes. The compiler converts the source code stream based program to object modules, object module instances and executables. The linker matches the object module instances to at least one of the multiple cores.

Abstract: In accordance with a method a plurality of subscriber systems are provided, the systems being coupled via a Wide Area Network (WAN) and comprising a first subscriber system. The first subscriber system has processing and non-volatile storage and is suitably programmed for providing a subscriber service to a first subscriber. The first system is disposed in an unsecured location, which is associated with the first subscriber. Subsequently, the subscriber service is provided to the first subscriber. Separately, a task is provided to the first subscriber system via the WAN and is executed on the first subscriber system. An activity record for the execution of the task is logged, based on an amount of at least one of the processing and the non-volatile storage consumed on the first subscriber system during execution of the task.

Abstract: A method and system of efficient use and programming of a multi-processing core device. The system includes a programming construct that is based on stream-domain code. A programmable core based computing device is disclosed. The computing device includes a plurality of processing cores coupled to each other. A memory stores stream-domain code including a stream defining a stream destination module and a stream source module. The stream source module places data values in the stream and the stream conveys data values from the stream source module to the stream destination module. A runtime system detects when the data values are available to the stream destination module and schedules the stream destination module for execution on one of the plurality of processing cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: A method and system of efficient use and programming of a multi-processing core device. The system includes a programming construct that is based on stream-domain code. A programmable core based computing device is disclosed. The computing device includes a plurality of processing cores coupled to each other. A memory stores stream-domain code including a stream defining a stream destination module and a stream source module. The stream source module places data values in the stream and the stream conveys data values from the stream source module to the stream destination module. A runtime system detects when the data values are available to the stream destination module and schedules the stream destination module for execution on one of the plurality of processing cores.

Abstract: A method and system of compiling and linking source stream programs for efficient use of multi-node devices. The system includes a compiler, a linker, a loader and a runtime component. The process converts a source code stream program to a compiled object code that is used with a programmable node based computing device having a plurality of processing nodes coupled to each other. The programming modules include stream statements for input values and output values in the form of sources and destinations for at least one of the plurality of processing nodes and stream statements that determine the streaming flow of values for the at least one of the plurality of processing nodes. The compiler converts the source code stream based program to object modules, object module instances and executables. The linker matches the object module instances to at least one of the multiple cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: A method and system of compiling and linking source stream programs for efficient use of multi-node devices. The system includes a compiler, a linker, a loader and a runtime component. The process converts a source code stream program to a compiled object code that is used with a programmable node based computing device having a plurality of processing nodes coupled to each other. The programming modules include stream statements for input values and output values in the form of sources and destinations for at least one of the plurality of processing nodes and stream statements that determine the streaming flow of values for the at least one of the plurality of processing nodes. The compiler converts the source code stream based program to object modules, object module instances and executables. The linker matches the object module instances to at least one of the multiple cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.

Abstract: An apparatus, computer-readable medium, and computer-implemented method for parallelization of a computer program on a plurality of computing cores includes receiving a computer program comprising a plurality of commands, decomposing the plurality of commands into a plurality of node networks, each node network corresponding to a command in the plurality of commands and including one or more nodes corresponding to execution dependencies of the command, mapping the plurality of node networks to a plurality of systolic arrays, each systolic array comprising a plurality of cells and each non-data node in each node network being mapped to a cell in the plurality of cells, and mapping each cell in each systolic array to a computing core in the plurality of computing cores.