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Dual-coded compressive hyperspectral imaging
Optics Letters, 2014This Letter presents a new snapshot approach to hyperspectral imaging via dual-optical coding and compressive computational reconstruction. We demonstrate that two high-speed spatial light modulators, located conjugate to the image and spectral plane, respectively, can code the hyperspectral datacube into a single sensor image such that the high ...
Xing, Lin +3 more
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2011 IEEE Global Telecommunications Conference - GLOBECOM 2011, 2011
Alamouti codes have been widely recognized for their full-diversity performance, while they provide a symbol rate of one with symbol-by-symbol decoding complexity. To decode an Alamouti code, the receiver requires the channel state information (CSI), while the transmitter operates blindly without CSI.
null Liangbin Li, H. Jafarkhani
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Alamouti codes have been widely recognized for their full-diversity performance, while they provide a symbol rate of one with symbol-by-symbol decoding complexity. To decode an Alamouti code, the receiver requires the channel state information (CSI), while the transmitter operates blindly without CSI.
null Liangbin Li, H. Jafarkhani
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2017
In this chapter, we describe self-dual codes over Frobenius rings. We give constructions of self-dual codes over any Frobenius ring. We describe connections to unimodular lattices, binary self-dual codes and to designs. We also describe linear complementary dual codes and make a new definition of a broad generalization encompassing both self-dual and ...
MinJia Shi, Adel Alahmadi, Patrick Sole
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In this chapter, we describe self-dual codes over Frobenius rings. We give constructions of self-dual codes over any Frobenius ring. We describe connections to unimodular lattices, binary self-dual codes and to designs. We also describe linear complementary dual codes and make a new definition of a broad generalization encompassing both self-dual and ...
MinJia Shi, Adel Alahmadi, Patrick Sole
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1988
A linear code C is called self-dual if C = C⊥. Clearly the rate of such a code is 1/2. Many authors have studied such codes and discovered interesting connections with invariant theory and with lattice sphere packings (cf. Mac Williams and Sloane, 1977, Ch. 19). Recently there has been interest in geometric Goppa codes that are self-dual.
Jacobus H. van Lint, Gerard van der Geer
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A linear code C is called self-dual if C = C⊥. Clearly the rate of such a code is 1/2. Many authors have studied such codes and discovered interesting connections with invariant theory and with lattice sphere packings (cf. Mac Williams and Sloane, 1977, Ch. 19). Recently there has been interest in geometric Goppa codes that are self-dual.
Jacobus H. van Lint, Gerard van der Geer
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International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004
In this paper we develop a complete generalization of the building-up method [J.-L. Kim, (2001)] for the Euclidean and Hermitian self-dual codes over finite fields GF(q). Using this method we construct many new Euclidean and Hermitian self-dual MDS (or near MDS) codes of length up to 12 over various finite fields GF(q), where q=8, 9, 16, 25, 32, 41, 49,
null Jon-Lark Kim, null Yoonjin Lee
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In this paper we develop a complete generalization of the building-up method [J.-L. Kim, (2001)] for the Euclidean and Hermitian self-dual codes over finite fields GF(q). Using this method we construct many new Euclidean and Hermitian self-dual MDS (or near MDS) codes of length up to 12 over various finite fields GF(q), where q=8, 9, 16, 25, 32, 41, 49,
null Jon-Lark Kim, null Yoonjin Lee
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Applicable Algebra in Engineering, Communication and Computing, 2020
In this paper, the authors define a self-dual code over a finite abelian group in terms of an arbitrary duality on the ambient space. They determine when additive self-dual codes exist over abelian groups for any duality and describe various constructions for these codes.
Dougherty, Steven T. +2 more
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In this paper, the authors define a self-dual code over a finite abelian group in terms of an arbitrary duality on the ambient space. They determine when additive self-dual codes exist over abelian groups for any duality and describe various constructions for these codes.
Dougherty, Steven T. +2 more
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1998
In this chapter, we shall present some fundamental study on relatively self-dual codes over a finite commutative ring. Section 1.1 is devoted to the basic definitions and properties of such codes. In Section 1.2, we shall present our gluing technique for constructing relatively self-dual codes.
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In this chapter, we shall present some fundamental study on relatively self-dual codes over a finite commutative ring. Section 1.1 is devoted to the basic definitions and properties of such codes. In Section 1.2, we shall present our gluing technique for constructing relatively self-dual codes.
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IEEE Transactions on Information Theory, 1983
It is shown that if the automorphism group of a binary self-dual code satisfies a certain condition then the code contains words of weight congruent to 2 modulo 4 . In particular, no cyclic binary self-dual code can have all its weights divisible by four. The number of cyclic binary self-dual codes of length n is determined, and the shortest nontrivial
Sloane, N. J. A., Thompson, J. G.
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It is shown that if the automorphism group of a binary self-dual code satisfies a certain condition then the code contains words of weight congruent to 2 modulo 4 . In particular, no cyclic binary self-dual code can have all its weights divisible by four. The number of cyclic binary self-dual codes of length n is determined, and the shortest nontrivial
Sloane, N. J. A., Thompson, J. G.
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Dual transform and projective self-dual codes
Advances in Mathematics of CommunicationsThe authors study linear codes using the projective dual transform. Their approach is to represent codes by a characteristic vector and the characteristic vector of the projective dual is obtained as a product of a special matrix by the characteristic vector of the input code.
Bouyukliev, Iliya, Bouyuklieva, Stefka
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Formally Self-Dual Codes Related to Type II Codes
Applicable Algebra in Engineering, Communication and Computing, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Betsumiya, Koichi, Harada, Masaaki
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