On decoding doubly extended Reed-Solomon codesThe article discusses the algebraic decoding of doubly extended\nReed-Solomon codes. This is shown for a decoder based on the Euclidean\nalgorithmJensen, J.O.Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on...
Architecture and VHDL-entities of the sequential coder and the decoder (codec) of the extended Read-Solomon code are presented. Decoder implements the modified Euclidean algorithm of polynomials division. In the present paper the special attention is given to control algorithm of the key-equation sol...
In this paper, for finite field with odd characteristic, we obtain some new results on the existence of MDS self-dual codes by generalized Reed-Solomon (GRS) codes and extended GRS codes. Introduction Let q be a prime power and let Fq be the finite field with q elements. An [n,k,d]...
In this paper, we give a parity check matrix of the (+)-extended twisted generalized Reed Solomon code, and then not only prove that it is MDS or NMDS, but also determine the weight distribution. Especially, based on Schur method, we show that the (+)- extended twisted generalized Reed...
(FEC) techniques, in addition to DSP methods, add redundant data to the transmitted signal to detect and correct errors at the receiver end. FEC is an effective technique to improve the signal quality and ensure reliable transmission. Several FEC techniques can be used, including Reed-Solo...
Reed-Solomon (RS) codes have been widely used in a variety of communication systems to protect digital data against errors occurring in the transmission process. Since the decoding profess for RS codes is rather computation-extensive, sp... JM Hsu,CL Wang - IEEE International Conference on Acous...
20040030985Cross interleave reed-solomon code correctionFebruary, 2004Kravtchenko et al. Primary Examiner: WILSON, YOLANDA L Attorney, Agent or Firm: IP Legal Services, LLC (Paoli, PENNSYLVANIA, US) Claims: We claim: 1.A method of timing recovery in a receiver having a higher-rate sampling cl...
US6131178 * Mar 4, 1998 Oct 10, 2000 Mitsubishi Denki Kabushiki Kaisha Error correcting decoding apparatus of extended Reed-Solomon code, and error correcting apparatus of singly or doubly extended Reed-Solomon codesUS6131178 1998年3月4日 2000年10月10日 Mitsubishi Denki Kabushiki Kaisha Error ...
group theory/ doubly-extended Reed-Solomon codesCauchy codesmaximum distance separable codesRS codesreversible BCH codesautomorphism groupsyndrome spaceinvariant theoryCauchy codes are a class of maximum distance separable codes that include RS codes, shortened and extended RS codes, and reversible BCH ...
The decoding device provides for the correction of errors in an extended Reed-Solomon code. It includes a device (1) for the production of syndromes for the calculation of the syndrome of a received word on arrival, derived from this word. A further device (5) provides a received word ...