Construction Results for MDS - Convolutional Codes '
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چکیده
The generalized Singleton bound and MDS-convolutional codes are reviewed. For each n, k and 6 an elementary construction of rate k / n MDS convolutional codes of degree 6 is given.
منابع مشابه
Constructions of MDS-convolutional codes
Maximum-distance separable (MDS) convolutional codes are characterized through the property that the free distance attains the generalized singleton bound. The existence of MDS convolutional codes was established by two of the authors by using methods from algebraic geometry. This correspondence provides an elementary construction of MDS convolutional codes for each rate k/n and each degree δ. ...
متن کاملConstruction results for MDS-convolutional codes - International Symposium on Information Theory, 2000. Proceedings. IEEE
The generalized Singleton bound and MDS-convolutional codes are reviewed. For each n, k and 6 an elementary construction of rate k / n MDS convolutional codes of degree 6 is given.
متن کاملConstruction of Unit-Memory MDS Convolutional Codes
Maximum-distance separable (MDS) convolutional codes form an optimal family of convolutional codes, the study of which is of great importance. There are very few general algebraic constructions of MDS convolutional codes. In this paper, we construct a large family of unit-memory MDS convolutional codes over Fq with flexible parameters. Compared with previous works, the field size q required to ...
متن کاملConstructions of MDS-convolutional codes - Information Theory, IEEE Transactions on
Maximum-distance separable (MDS) convolutional codes are characterized through the property that the free distance attains the generalized Singleton bound. The existence of MDS convolutional codes was established by two of the authors by using methods from algebraic geometry. This correspondence provides an elementary construction of MDS convolutional codes for each rate and each degree . The c...
متن کاملConstruction and Decoding of Strongly MDS Convolutional Codes
A new class of of rate 1/2 convolutional codes called strongly MDS convolutional codes are introduced and studied. These are codes having optimal column distances. Properties of these codes are given and a concrete construction is provided. This construction has the ability to correct δ errors in any sliding window of length 4δ + 2 whereas the best known MDS block code with parameters [n, n/2],...
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تاریخ انتشار 2004