Journal ArticleDOI
Theory of Unidirectional Error Correcting/Detecting Codes
TLDR
This paper defines symmetric, asymmetric, and unidirectional error classes and derives the necessary and sufficient conditions for a binary code to be uniddirectional error correcting/detecting.Abstract:
In this paper we present some basic theory on unidirectional error correcting/detecting codes. We define symmetric, asymmetric, and unidirectional error classes and proceed to derive the necessary and sufficient conditions for a binary code to be unidirectional error correcting/detecting.read more
Citations
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Journal ArticleDOI
A new table of constant weight codes
TL;DR: The known techniques for constructing constant weight codes are surveyed, and a table of (unrestricted) binary codes of length nl28 is given.
Journal ArticleDOI
Delay-insensitive codes : an overview
TL;DR: In this paper, the problem of delay-insensitive data communication is described, and the notion of delayinsensitive code is defined, giving precise conditions under which it is possible to use delay-sensitive data communication.
Journal ArticleDOI
Real-number codes for fault-tolerant matrix operations on processor arrays
V.S.S. Nair,Jacob A. Abraham +1 more
TL;DR: It is proven that linearity is a necessary and sufficient condition for codes used for fault-tolerant matrix operations such as matrix addition, multiplication, transposition, and LU decomposition and for every linear code defined over a finite field, there exists a corresponding linear real-number code with similar error detecting capabilities.
Journal ArticleDOI
Systematic Unidirectional Error-Detecting Codes
Bose,Der Jei Lin +1 more
TL;DR: The theory and design of systematic t-unidirectional error-detecting codes are developed and optimal systematic codes capable of detecting 2, 3, and 6 uniddirectional errors using 2,3, and 4 check bits are given.
Journal ArticleDOI
On t-error correcting/all unidirectional error detecting codes
Mario Blaum,H. Van Tilborg +1 more
TL;DR: Asymmetric error-correcting codes turn out to be a powerful tool in the proposed construction of binary systematics codes that can correct t random errors and detect more than t unidirectional errors.
References
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Journal ArticleDOI
Error detecting and error correcting codes
TL;DR: The author was led to the study given in this paper from a consideration of large scale computing machines in which a large number of operations must be performed without a single error in the end result.
Book
Algebraic Coding Theory
TL;DR: This is the revised edition of Berlekamp's famous book, "Algebraic Coding Theory," originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field.
Journal ArticleDOI
A note on error detection codes for asymmetric channels
TL;DR: Some new codes are described which are separable and are perfect error detection codes in a completely asymmetric channel and the new code is found to compare favorably in error detection capability in several cases.