منابع مشابه
Linear error-block codes
A linear error-block code is a natural generalization of the classical error-correcting code and has applications in experimental design, high-dimensional numerical integration and cryptography. This article formulates the concept of a linear error-block code and derives basic results for this kind of code by direct analogy to the classical case. Some problems for further research are raised. ©...
متن کاملDecoding Error Probability of Binary Linear Block Codes
The performance of maximum-likelihood (ML) decoded binary linear block codes is addressed via the derivation of tightened upper bounds on their decoding error probability. The upper bounds on the block and bit error probabilities are valid for any memoryless, binary-input and outputsymmetric communication channel, and their effectiveness is exemplified for various ensembles of turbo-like codes ...
متن کاملBounds and Modifications on Linear Error-block Codes
Abstract In 2006, K. Feng, L. Xu and F. J. Hickernell initiated the concept of a linear error-block code which is a natural generalization of the classical linear code. In this correspondence, we investigate optimal linear errorblock codes in two directions: maximal dimension codes and maximal minimum π-distance codes. First perspective on optimizing a code is by studying lower bounds and upper...
متن کاملConstructions and bounds on linear error-block codes
We obtain new bounds on the parameters and we give new constructions of linear error-block codes. We obtain a Gilbert–Varshamov type construction. Using our bounds and constructions we obtain some infinite families of optimal linear error-block codes over F2. We also study the asymptotic of linear error-block codes. We define the real valued function αq,m,a(δ), which is an analog of the importa...
متن کاملCyclicity and Decoding of Linear Error-block Codes
Linear error-block codes (LEBC) were introduced in [1]. They are a natural generalization of linear error correcting codes. In this paper, we introduce a notion of cyclic LEBC. In order to allow application in cryptography, especially in a McEliece-like cryptosystem [3], a method of decoding this kind of codes is presented. There exist linear error-block codes with fast decoding algorithms.
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2006
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2005.03.006