Codes between Bch and Rs Codes
نویسنده
چکیده
The codes obtained as the shortened binary image of linear codes over GF(2m) are studied in detail. Their dimension is computed and it is shown that they may be used as unequal error proteetion codes.
منابع مشابه
Generalized parallel concatenated block codes based on BCH and RS codes, construction and Iterative decoding
In this paper, a generalization of parallel concatenated block (GPCB) codes based on BCH and RS codes is presented. On the sender side two systematic encoders are used and separated by an interleaver. In the receiver side, the Chase-Pyndiah algorithm is utilized as component decoder in an iterative process. The effect of various component codes, interleaver sizes and patterns, and the number of...
متن کاملDecoding Shortened Reed Solomon Codes at Bit Level
This study presents a novel means of shortening a Reed Solomon (RS) code at the bit level, yielding only shortened BCH subcodes. With the use of a certain basis, an RS codes over ) 2 ( m GF is mapped onto a binary image[4], which contains m concatenated BCH sub-codewords and some glue-vector codewords. With the proposed approach, there only exist some shortened BCH subcode generators in the dia...
متن کاملMultirate Filter Bank Representations of RS and BCH Codes
This paper addresses the use of multirate filter banks in the context of error-correction coding. An in-depth study of these filter banks is presented, motivated by earlier results and applications based on the filter bank representation of Reed-Solomon (RS) codes, such as Soft-In Soft-Out RS-decoding or RS-OFDM. The specific structure of the filter banks (critical subsampling) is an important ...
متن کاملError Correcting Code Bch
VLSI Architectures for Modern Error-Correcting Codes CRC Press Book. Reed-Solomon (RS) and Bose-Chaudhuri-Hocquenghem (BCH) codes, and binary. An important class of multipleerror-correcting linear cyclic codes is the class of BCH codes. In fact, BCH code is a generalization of the cyclic Hamming codes. Error correction codes (ECCs) are deployed in digital communication systems to tion 4 recalls...
متن کاملAsymmetric and Symmetric Subsystem BCH Codes and Beyond
Recently, the theory of quantum error control codes has been extended to subsystem codes over symmetric and asymmetric quantum channels – qubit-flip and phase-shift errors may have equal or different probabilities. Previous work in constructing quantum error control codes has focused on code constructions for symmetric quantum channels. In this paper, we develop a theory and establish the conne...
متن کامل