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Redundancy Allocation of Partitioned Linear Block Codes [PDF]

open access: yes2013 IEEE International Symposium on Information Theory, 2013
Most memories suffer from both permanent defects and intermittent random errors. The partitioned linear block codes (PLBC) were proposed by Heegard to efficiently mask stuck-at defects and correct random errors.
Kim, Yongjune, Kumar, B. V. K. Vijaya
core   +2 more sources

Code multiplexing using linear block codes [PDF]

open access: yesEPJ Web of Conferences
This paper explores the application of code multiplexing using linear block codes in communication systems. Through a comprehensive analysis of contemporary literature on switching methods and signal modeling, the study investigates the principles of ...
Rabin Alexey   +2 more
doaj   +2 more sources

Trellis decoding complexity of linear block codes [PDF]

open access: yesIEEE Transactions on Information Theory, 1996
In this partially tutorial paper, we examine minimal trellis representations of linear block codes and analyze several measures of trellis complexity: maximum state and edge dimensions, total span length, and total vertices, edges and mergers.
Dolinar, Samuel J, Jr.   +4 more
core   +4 more sources

On complexity of trellis structure of linear block codes [PDF]

open access: yesIEEE Transactions on Information Theory, 1993
Summary: First, an upper bound on the number of states of a minimal trellis diagram for a linear block code is derived. It follows from this upper bound that a cyclic (or shortened cyclic) code or its extended code is shown to be the worst in terms of trellis state complexity among the linear codes of the same length and dimension. Then, the complexity
T Kasami
exaly   +2 more sources

Voronoi regions for binary linear block codes [PDF]

open access: yesIEEE Transactions on Information Theory, 1996
Summary: The Voronoi regions of a block code govern many aspects of the code's performance on a Gaussian channel, and they are fundamental instruments in, for example, error probability analysis and soft-decision decoding. This correspondence presents an efficient method to find the boundaries of the Voronoi regions for an arbitrary binary linear block
E Agrell
exaly   +2 more sources

Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes

open access: yesRatio Mathematica, 2022
During the digital transmission of information, errors are bound to occur. The errors may be random or burst errors. In this paper, we have obtained necessary and sufficient conditions for the existence of linear codes over  that are capable of ...
Ritu Arora   +3 more
doaj   +1 more source

A Simple Neural-Network-Based Decoder for Short Binary Linear Block Codes

open access: yesApplied Sciences, 2023
The conventional soft decision decoding (SDD) methods require various hard decision decoders (HDDs) based on different codes or re-manipulate the generator matrix by the complicated Gaussian elimination technique according to the bit reliability.
Kunta Hsieh   +4 more
doaj   +1 more source

The Trapping Redundancy of Linear Block Codes [PDF]

open access: yesIEEE Transactions on Information Theory, 2009
We generalize the notion of the stopping redundancy in order to study the smallest size of a trapping set in Tanner graphs of linear block codes. In this context, we introduce the notion of the trapping redundancy of a code, which quantifies the relationship between the number of redundant rows in any parity-check matrix of a given code and the size of
Stefan Laendner   +3 more
openaire   +3 more sources

FPGA implementation of trellis decoders for linear block codes [PDF]

open access: yesAdvances in Radio Science, 2014
Forward error correction based on trellises has been widely adopted for convolutional codes. Because of their efficiency, they have also gained a lot of interest from a theoretic and algorithm point of view for the decoding of block codes.
S. Scholl, E. Leonardi, N. Wehn
doaj   +1 more source

Girth-Based Sequential-Recovery LRCs

open access: yesIEEE Access, 2022
In this paper, we prove that a linear block code with girth $2(t+1)$ is a $t$ -sequential-recovery locally repairable codes (LRCs) with locality $r$ if its parity-check matrix has column weight at least 2 and row weight at most $r+1$ . This gives a
Zhi Jing, Hong-Yeop Song
doaj   +1 more source

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