摘要:
Error detection and correction circuitry, optimized to reduce the time required to correct single errors and to detect the presence of uncorrectable errors, uses an optimized H-Matrix and provides reduced logic circuitry. Correctable error syndromes are defined as comprising an odd number of ones and an uncorrectable-error detection circuit generates an uncorrectable-error indication when an even number of ones are detected. The correctable-error syndromes are defined as having a predefined combination of ones and zeros in each of a set of corresponding bit positions and different combinations of ones and zeros in other bit position. An error syndrome comprising only zeros is designated as indicative of a no error condition. Logic circuitry is provided which implements the error detection and correction circuitry with a reduced set of logic gates.
摘要:
Modular reduction and modular multiplication for large numbers are required operations in public key cryptography. Moreover, efficient execution of these two operations is important to achieve high performance levels in cryptographic engines and processes. The present invention uses multiplication and addition instead of using division and subtraction to perform modular arithmetic. The present invention also achieves some of its advantages through processing which begins with the high order bits coupled with judicious observations pertaining to circumstances under which carry output signals from addition operations are generated. These carry output signals are used to provide corrections which thus enable the use of the higher order bits and the efficiencies that such use engenders. Additionally, unlike other methods, the present invention avoids the baggage of preprocessing and post processing operations.
摘要:
Error correction and detection codes are designed with several properties: the ability to perform error correction and detection operations via syndrome generation in multiple cycles of information delivery from a source such as a set of memory chips; a code structure which is cooperatively designed in terms of the bits-per-chip architecture of a set of memory chips so as to provide enhanced robustness in the face of bus line and chip failures; and a structured parity check matrix which provides circuits which are cheaper, take up less room, and are faster than standard designs.
摘要:
The modular exponentiation function used in public key encryption and decryption systems is implemented in a standalone engine having at its core modular multiplication circuits which operate in two phases which share overlapping hardware structures. The partitioning of large arrays in the hardware structure, for multiplication and addition, into smaller structures results in a multiplier design comprising a series of nearly identical processing elements linked together in a chained fashion. As a result of the two-phase operation and the chaining together of partitioned processing elements, the overall structure is operable in a pipelined fashion to improve throughput and speed. The chained processing elements are constructed so as to provide a partitionable chain with separate parts for processing factors of the modulus. In this mode, the system is particularly useful for exploiting characteristics of the Chinese Remainder Theorem to perform rapid exponentiation operations. A checksum mechanism is also provided to insure accurate operation without impacting speed and without significantly increasing complexity. While the present disclosure is directed to a complex system which includes a number of features, the present application is particularly directed to circuits and methods for carrying out modular exponentiation.
摘要:
The modular exponentiation function used in public key encryption and decryption systems is implemented in a standalone engine having at its core modular multiplication circuits which operate in two phases which share overlapping hardware structures. The partitioning of large arrays in the hardware structure, for multiplication and addition, into smaller structures results in a multiplier design comprising a series of nearly identical processing elements linked together in a chained fashion. As a result of the two-phase operation and the chaining together of partitioned processing elements, the overall structure is operable in a pipelined fashion to improve throughput and speed. The chained processing elements are constructed so as to provide a partitionable chain with separate parts for processing factors of the modulus. In this mode, the system is particularly useful for exploiting characteristics of the Chinese Remainder Theorem to perform rapid exponentiation operations. A checksum mechanism is also provided to insure accurate operation without impacting speed and without significantly increasing complexity. While the present disclosure is directed to a complex system which includes a number of features, the present application is particularly directed to circuits and methods for carrying out modular exponentiation.
摘要:
Uncorrectable errors are isolated to one component of a computing system comprising a plurality of components. First, upon detection of an uncorrectable error, a special check bit pattern is generated. This check bit pattern is used to indicate the occurrence of an uncorrectable error, as well as the location of the occurrence of the error. Subsequently, the check bit pattern is incorporated into the data word being transmitted, and thus may be used to isolate an uncorrectable error to the exact location of occurrence.
摘要:
An error correction code for single symbol error correction and double symbol error detection is generated according to a novel modular H-matrix. The H-matrix utilizes a modular design with multiple iterations of a plurality of subsets. In particular, one example of this H-matrix includes a plurality of rows and columns with each of at least one row of the H-matrix comprising, in part, multiple iterations of one subset of the plurality of subsets. The remainder of the rows, comprises, in part, a cyclic permutation of all of the remaining subsets of the plurality of subsets.
摘要:
The present invention employs an extra array of character history matching storage flip flops wherein the extra set operates in an alternating sequence with the first set depending upon the occurrence of a character mismatch, to ensure that every character received by a data compressing system is treated and considered in the same clock cycle in which it is received. The resultant circuit and method provides a much more speedy and efficient method for compressing data and for preprocessing of data which is to be compressed.
摘要:
A method and apparatus are described for providing error correcting code (ECC) which may be incorporated into a computer system which includes one of a plurality of memory configurations and which may include a pre-existing error control feature. A data store operation causes the receipt of a word including data bits and check bits generated by a pre-existing error control feature. The data and check bits of the received word are used to generate additional check bits based upon the configuration of the computer system memory. The additionally generated check bits are stored in the memory along with the received word. Upon a subsequent data fetch operation which retrieves the word and check bits the check bits are decoded thereby providing error detection and correction in the retrieved word for single and multiple bit errors including the failure of an entire memory chip. The invention provides 84/72 ECC for computer systems having a four bit per chip memory configuration and 88/72 ECC for computer systems having an eight bit per chip memory configuration. Further embodiments describe the detection and communication of uncorrectable errors.
摘要:
In accordance with a preferred embodiment of the present invention, a mechanism is provided for converting Type II binary parity check matrices for a large class of codes into a larger parity check matrix which is more suitable for error detection and correction in memory systems which employ multiple bit per chip output architecture. More particularly, the present coding method provides codes which exhibit check bit requirements which are less than those for a Type II code but greater than those for a Type I code. In particular, the codes of the present invention are capable of detecting all combinations of a single symbol error and a single bit error. In addition, the codes for the present invention exhibit all of the correction and detection properties for a Type I code but do not rise to the capabilities or the complexities of Type II codes which are capable of correcting all single symbol errors and detecting all double symbol errors. In particular, the present invention avoids the weakness found a in Type I code which occurs in those situations in which there is a symbol error from a symbol bit group and another error from a different symbol.