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Jr.; Kumar, P.V.; Sloane, N.J.A.; and Solé, P. "A Linear Construction for Certain Kerdock and Preparata Codes." Bull. The proof of the properties in concept may be made within the mathematical framework of Galois fields. Your cache administrator is webmaster. If the number of bits allocated for parity increases, however, the number of bits available for storing data is reduced.BRIEF DESCRIPTION OF

Secondary memory 108 includes a number of pages or entries 402, with each entry 402 having an address and including a corresponding opcode field 404. The apparatus and the method verifies the ECC concept, the algorithm, and the implementation simultaneously. The encoder encodes data bits with check bits to produce an encoded signal. In block 220, the encoder 115 encodes a transaction with an ECC.

Jimmy Xu, PhD, is Charles C. Error detection is much simpler than error correction, and one or more "check" digits are commonly embedded in credit card numbers in order to detect mistakes. and Sloane, N.J.A. The apparatus of claim 1, wherein the apparatus is embodied as a simulation of a hardware device. 3.

DETAILED DESCRIPTION Error correcting code (ECC) circuits are widely used in semiconductor memory designs to correct single-bit errors and to detect double-bit errors. For example, RAM 110, ROM 112, secondary memory 108 and flash memory 106 may be located on a same integrated circuit as processor 102 or on a separate integrated circuit or A decoder decodes the encoded signal, after modification by the error injection module. For example, double bit error correction methods can correct both a transient bit error and a persistent weak bit error in a same area of memory.

In addition, transient bit errors can affect multiple neighboring bits in high-density memories.Single bit error correction methods have been used to correct occurrences of errors in a single bit of an Inform. It should also be noted that, in some embodiments, PCB 701 may not be used and/or device package(s) 702 may assume any other suitable form(s).As discussed herein, in an illustrative, non-limiting Th. 36, 1334-1380, 1990.

The system returned: (22) Invalid argument The remote host or network may be down. Generated Sun, 16 Oct 2016 00:50:01 GMT by s_wx1094 (squid/3.5.20) ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.7/ Connection The study of error-correcting codes and the associated mathematics is known as coding theory. Wolfram|Alpha» Explore anything with the first computational knowledge engine.

If the combination of the retrieved and the newly generated ECC bits creates any non-zero syndrome bits, an error within the retrieved data has been detected. In some embodiments, electronic system 700 may include any of the aforementioned electronic devices, such as data processing system 100 or any other electronic device. Peripheral modules 114 may also be located on separate integrated circuits or devices. The Theory of Error-Correcting Codes.

To overcome this problem, an apparatus and a method subject the implementation of the ECC circuit to the various errors the ECC circuit is expected to correct/detect. The process begins with block 210. The error correction bits in secondary memory 108 can also be updated as the memory cells in flash memory 106 further age due to continued write and read accesses. The modified data are then fed directly to the decoder 135.

Prior to transmission of the data word in a computer system, the value of the parity bit is computed at the source point of the data word and is appended to FIG. 3B illustrates a process 300 in which the error injection circuit 120 inserts a single-bit error. For example, if a data bit changes from a 0 to a 1 and another data bit changes from a 1 to a 0 (a double bit error), the parity of In some embodiments, additional parity bits for one or more alternative ECCs for larger segments of data may be stored in secondary memory 108, thus providing flexibility in correcting errors in

The output of the decoder may be a zero error signal, a signal error signal, a multiple error signal, and an error location signal. Anaren Anderson Power Products Antenova Apacer Technology Inc. The process then moves to block 280 and ends. The apparatus 100 may be included on a dual in-line memory module (DIMM) card along with one or more memory chips and may be implemented within an ASIC chip, for example.

In some cases, opcode fields 404 may each include 8 bits, but in other cases fields 404 may include any suitable number of bits.In some implementations, opcodes 404 associated with a Modems use error detection when they compute checksums, which are sums of the digits in a given transmission modulo some number. Further, in some cases, still at block 505, method 500 may include switching opcodes for remaining pages of the same block to indicate an upgraded ECC scheme for those pages.In some Inventors: Ramaraju, Ravindraraj (Round Rock, TX, US) Hoekstra, George P. (Austin, TX, US) Application Number: 14/485624 Publication Date: 03/17/2016 Filing Date: 09/12/2014 Export Citation: Click for automatic bibliography generation Assignee: Freescale

A program, or computer program, may include a subroutine, a function, a procedure, an object method, an object implementation, an executable application, an applet, a servlet, a source code, an object By adding more check bits and appropriately overlapping the subsets of data bits represented by the check bits, other error correcting codes may provide for multiple error correction and detection. The decoder 135 decodes the modified data and produces several output signals. If a power up is detected, process 608 restores valid entries from the non-volatile memory to secondary memory 108.

The expected result is no_error=single_error=0; multiple_error=1. Calderbank, A.R.; Hammons, A.R. An error correcting code circuit 10 includes a memory line 11, which is shown in FIG. 1a including 30 data bits. During a write operation into a page in the block, the page or block's opcode is read and a parity bit(s) corresponding to that scheme is/are generated and stored.In some implementations,

Since it is not possible for -vectors to differ in places and since -vectors which differ in all places partition into disparate sets of two, (1) Values of can be found The following are some of the questions discussed: Does CMOS technology have a real problem? Berlekamp, E.R. Thus, the error detection and correction mechanism operates on the data as the data is being stored by the computer system in the memory chips.

MacWilliams, F.J.