Results 221 to 230 of about 395,210 (259)
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IEEE Transactions on Information Theory, 1965
A new class of cyclic codes, cyclic product codes, is characterized. These codes enjoy the implementation advantages of cyclic codes and, in addition, possess the important structural properties of product (iterated) codes. The main results are as follows: \begin{enumerate} \item Conditions are given which ensure that the product of two, and, hence ...
H. C. Burton, Edward J. Weldon Jr.
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A new class of cyclic codes, cyclic product codes, is characterized. These codes enjoy the implementation advantages of cyclic codes and, in addition, possess the important structural properties of product (iterated) codes. The main results are as follows: \begin{enumerate} \item Conditions are given which ensure that the product of two, and, hence ...
H. C. Burton, Edward J. Weldon Jr.
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International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004
Lattice-based construction of codes is of theoretical as well as practical importance in particular for communications over bandwidth-limited channels. We investigate the so called product lattice construction. Certain fundamental properties of product lattices are derived, and it is demonstrated that their performance are comparable to those of known ...
Amir J. Salomon, Ofer Amrani
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Lattice-based construction of codes is of theoretical as well as practical importance in particular for communications over bandwidth-limited channels. We investigate the so called product lattice construction. Certain fundamental properties of product lattices are derived, and it is demonstrated that their performance are comparable to those of known ...
Amir J. Salomon, Ofer Amrani
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2015 Information Theory and Applications Workshop (ITA), 2015
Product codes were introduced by Elias in 1954 and generalized by Tanner in 1981. Recently, a number of generalized product codes have been proposed for forward error-correction in high-speed optical communication. In practice, these codes are decoded by iteratively decoding each of the component codes.
Henry D. Pfister +2 more
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Product codes were introduced by Elias in 1954 and generalized by Tanner in 1981. Recently, a number of generalized product codes have been proposed for forward error-correction in high-speed optical communication. In practice, these codes are decoded by iteratively decoding each of the component codes.
Henry D. Pfister +2 more
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2010 7th IEEE Consumer Communications and Networking Conference, 2010
Network coding is a useful tool to increase the multicast capacity of networks. The traditional approach to network coding involving XOR operation has several limitations such as low robustness and can support only two users/packets at a time, per relay, in the mixing process to achieve optimal error performance.
Bilal Zafar 0001 +2 more
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Network coding is a useful tool to increase the multicast capacity of networks. The traditional approach to network coding involving XOR operation has several limitations such as low robustness and can support only two users/packets at a time, per relay, in the mixing process to achieve optimal error performance.
Bilal Zafar 0001 +2 more
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Product Code With Integrated Interleaved Component Codes
IEEE Communications LettersQin Huang, Qiyuan Li
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IEEE Transactions on Information Theory, 1984
Summary: By modifying product codes, a new coding scheme and its decoding method are proposed. Compared to a product code A, the first stage code \(A_ 1\) of the new code \(A_ M\) is constructed in the same way as that of the code A except that it has at least one subcode, while the second stage codes \(A_ 2^{(j)}\) of the code \(A_ M\) are a set of ...
Shigeichi Hirasawa +3 more
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Summary: By modifying product codes, a new coding scheme and its decoding method are proposed. Compared to a product code A, the first stage code \(A_ 1\) of the new code \(A_ M\) is constructed in the same way as that of the code A except that it has at least one subcode, while the second stage codes \(A_ 2^{(j)}\) of the code \(A_ M\) are a set of ...
Shigeichi Hirasawa +3 more
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On the Weight Hierarchy of Product Codes
Designs, Codes and Cryptography, 2004In this paper the generalization of a formula concerning to product codes with more than two components is given. Especially the generalization of the Wei-Yang formula to the product codes with an arbitrary number of components is given and proven. This is done by using some definitions, theorems, propositions and an example.
Conchita Martínez-Pérez +1 more
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Improved Code Shortening for Block and Product Codes
2006 IEEE 63rd Vehicular Technology Conference, 2006Code shortening is commonly performed in practice but its analytical decoding performance is not well understood. In this letter, we present tight bounds for estimating the weight enumerator and hence BER (bit error rate) performance of linear shortened and shortened-extended block/product codes operating in AWGN and Rayleigh fading channels.
Kai Ching Lim, Yong Liang Guan 0001
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IEEE Transactions on Broadcasting, 2006
In this paper, a turbo-product-coded, quadrature-vestigial-sideband (QVSB), digital modulation and coding scheme are presented. This scheme is more complex than the VSB modulation and coding format employed for high-definition television; and it achieves spectral-efficiency performance within 4 to 5dB of the Shannon-Bound, with relatively conservative ...
John Poklemba, David Wenzel
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In this paper, a turbo-product-coded, quadrature-vestigial-sideband (QVSB), digital modulation and coding scheme are presented. This scheme is more complex than the VSB modulation and coding format employed for high-definition television; and it achieves spectral-efficiency performance within 4 to 5dB of the Shannon-Bound, with relatively conservative ...
John Poklemba, David Wenzel
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Combinatorica, 2007
What is the maximum possible number, f3(n), of vectors of length n over {0,1,2} such that the Hamming distance between every two is even? What is the maximum possible number, g3(n), of vectors in {0,1,2}n such that the Hamming distance between every two is odd?
Noga Alon, Eyal Lubetzky
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What is the maximum possible number, f3(n), of vectors of length n over {0,1,2} such that the Hamming distance between every two is even? What is the maximum possible number, g3(n), of vectors in {0,1,2}n such that the Hamming distance between every two is odd?
Noga Alon, Eyal Lubetzky
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