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A simple single-bit parity-check code is described for checking the logical operations of XOR, OR, and AND, and also the arithmetic operations of complement, shift, and rotate. Two methods of residue generation are described: the standard method of using modulo m adders and the method of using a self-testing residue tree. Of the three number representations, the signed-magnitude representation is preferred for residue checking. Low-cost residue codes with check-length l and checkbase m = 2 to the l power - 1 are described for checking arithmetic operations of addition, subtraction, multiplication, division complement, shift, and rotate. This technique is designed to find the error locations and the error values directly from the syndrome without having to use the iterative algorithm to find the error locator polynomial.Ĭoncurrent error detecting codes for arithmetic processorsĪ method of concurrent error detection for arithmetic processors is described. The paper presents a special decoding technique for double-byte- error-correcting, triple-byte- error-detecting RS codes which is capable of high-speed operation. However, the standard iterative algorithm for decoding RS codes is too slow for these applications. Byte-oriented codes such as Reed-Solomon (RS) codes can provide efficient low overhead error control for such memories. For example, some 256 K bit DRAM's are organized in 32 K x 8 bit-bytes. In LSI and VLSI technology, memories are often organized on a multiple bit (or byte) per chip basis. Costello, Daniel J., Jr.Ī problem in designing semiconductor memories is to provide some measure of error control without requiring excessive coding overhead or decoding time.

[Double-Byte- Error-Correcting, Triple-Byte- Error-Detectingĭeng, Robert H. (YP)ĭecoding of DBEC-TBED Reed-Solomon codes.

FLASHCODE TICKET PMU ZIP

Presents examples from the International Standard Book Number, the Universal Product Code, bank identification numbers, and the ZIP code bar code. Error-Detecting Identification Codes for Algebra Students.ĮRIC Educational Resources Information Centerĭiscusses common error-detecting identification codes using linear algebra terminology to provide an interesting application of algebra.

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