Tang et al., 2007 - Google Patents
A sub-matrix method for multiple reed-solomon erasure codingTang et al., 2007
View PDF- Document ID
- 16371570424944537018
- Author
- Tang D
- Zhang W
- Publication year
External Links
Snippet
An efficient method for encoding with multiple Reed-Solomon codes and erasure decoding is proposed. This new method pre-computes one systematic code generator, a matrix with elements defined in Galois field, and uses it or its submatrices for a set of …
- 239000011159 matrix material 0 title abstract description 63
Classifications
-
- H—ELECTRICITY
- H03—BASIC ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/13—Linear codes
- H03M13/15—Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes
- H03M13/151—Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes using error location or error correction polynomials
- H03M13/1515—Reed-Solomon codes
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0056—Systems characterized by the type of code used
- H04L1/0057—Block codes
-
- H—ELECTRICITY
- H03—BASIC ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/11—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits using multiple parity bits
- H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
- H03M13/1148—Structural properties of the code parity-check or generator matrix
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0041—Arrangements at the transmitter end
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0045—Arrangements at the receiver end
- H04L1/0047—Decoding adapted to other signal detection operation
- H04L1/005—Iterative decoding, including iteration between signal detection and decoding operation
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L2001/0092—Error control systems characterised by the topology of the transmission link
-
- H—ELECTRICITY
- H03—BASIC ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/29—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes
- H03M13/2906—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes using block codes
- H03M13/2927—Decoding strategies
-
- H—ELECTRICITY
- H03—BASIC ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/37—Decoding methods or techniques, not specific to the particular type of coding provided for in groups H03M13/03 - H03M13/35
- H03M13/373—Decoding methods or techniques, not specific to the particular type of coding provided for in groups H03M13/03 - H03M13/35 with erasure correction and erasure determination, e.g. for packet loss recovery or setting of erasures for the decoding of Reed-Solomon codes
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/12—Arrangements for detecting or preventing errors in the information received by using return channel
- H04L1/16—Arrangements for detecting or preventing errors in the information received by using return channel in which the return channel carries supervisory signals, e.g. repetition request signals
-
- H—ELECTRICITY
- H03—BASIC ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/65—Purpose and implementation aspects
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communication
- H04L9/06—Cryptographic mechanisms or cryptographic arrangements for secret or secure communication the encryption apparatus using shift registers or memories for block-wise or stream coding, e.g. DES systems or RC4; Hash functions; Pseudorandom sequence generators
-
- H—ELECTRICITY
- H03—BASIC ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/61—Aspects and characteristics of methods and arrangements for error correction or error detection, not provided for otherwise
- H03M13/618—Shortening and extension of codes
Similar Documents
Publication | Publication Date | Title |
---|---|---|
US9876607B2 (en) | Methods and apparatus employing FEC codes with permanent inactivation of symbols for encoding and decoding processes | |
EP1980041B1 (en) | Multiple-field based code generator and decoder for communications systems | |
US7418651B2 (en) | File download and streaming system | |
US9866349B2 (en) | Network coding over GF(2) | |
US10362151B2 (en) | Coding in Galois fields with reduced complexity | |
Shokrollahi | Theory and applications of Raptor codes | |
Tang et al. | A sub-matrix method for multiple reed-solomon erasure coding | |
EP3035540B1 (en) | Maximum likelihood erasure decoding of sparse graph codes | |
JP4972128B2 (en) | Encoding / decoding system and encoding / decoding method | |
Hung et al. | Content distribution network for streaming using multiple Galois fields | |
Andriyanova et al. | IR-HARQ schemes with finite-length punctured LDPC codes over the BEC | |
JP5238060B2 (en) | Encoding apparatus and method, encoding / decoding system, and decoding method | |
Al-Shaikhi et al. | Packet loss recovery codes based on Vandermonde matrices and shift operators | |
Alloum et al. | On locality of Generalized Reed-Muller codes over the broadcast erasure channel | |
El-Gohary et al. | Study the performance of fountain codes in wireless communication systems | |
Garrammone et al. | Erasure codes for space communications: Recent findings and new challenges | |
Srouji et al. | High-speed enoding/decoding technique for reliable data transmission in wireless sensor networks | |
Sun et al. | Decomposable forward error correction codes based on chinese remainder theorem | |
Pernice et al. | Statistical analysis of RaptorQ failure probability applied to a data recovery software | |
Zhang et al. | An error control scheme with virtually segmented packets for wireless multicast protocols | |
Botos et al. | Study of the decoding complexity for rateless erasure codes | |
Al-Shaikhi et al. | Packet oriented error correcting codes using Vandermonde matrices and shift operators | |
Nithya et al. | Analysis of BER and energy efficiency of raptor codes under BEC for wireless sensor network | |
Botos et al. | Performance evaluation of rateless erasure correcting codes for content distribution | |
Cai et al. | Advances in iterative decoding and maximum likelihood decoding for the packet network with comparisons to fountain codes over the erasure channel |