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Results 1 - 10
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7,145
Constant-rank codes and their connection to constant-dimension codes
, 2008
"... Constant-dimension codes have recently received attention due to their significance to error control in noncoherent random network coding. What the maximal cardinality of any constant-dimension code with finite dimension and minimum distance is and how to construct the optimal constant-dimension cod ..."
Abstract
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Cited by 24 (1 self)
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Constant-dimension codes have recently received attention due to their significance to error control in noncoherent random network coding. What the maximal cardinality of any constant-dimension code with finite dimension and minimum distance is and how to construct the optimal constant-dimension
Johnson type bounds on constant dimension codes
, 2007
"... Very recently, an operator channel was defined by Koetter and Kschischang when they studied random network coding. They also introduced constant dimension codes and demonstrated that these codes can be employed to correct errors and/or erasures over the operator channel. Constant dimension codes are ..."
Abstract
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Cited by 36 (1 self)
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Very recently, an operator channel was defined by Koetter and Kschischang when they studied random network coding. They also introduced constant dimension codes and demonstrated that these codes can be employed to correct errors and/or erasures over the operator channel. Constant dimension codes
Large constant dimension codes and lexicodes
- Advances in Mathematics of Communications
, 2011
"... ar ..."
Isometry and automorphisms of constant dimension codes
- ADVANCES OF MATHEMATICS IN COMMUNICATIONS
, 2012
"... ..."
Construction and Covering Properties of Constant-Dimension Codes
- IN: PROC. OF THE 2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT 2009
, 2009
"... Constant-dimension codes (CDCs) have been investigated for noncoherent error correction in random network coding. The maximum cardinality of CDCs with given minimum distance and how to construct optimal CDCs are both open problems, although CDCs obtained by lifting Gabidulin codes, referred to as KK ..."
Abstract
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Cited by 8 (5 self)
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Constant-dimension codes (CDCs) have been investigated for noncoherent error correction in random network coding. The maximum cardinality of CDCs with given minimum distance and how to construct optimal CDCs are both open problems, although CDCs obtained by lifting Gabidulin codes, referred
Construction of large constant dimension codes with a prescribed minimum distance
, 2008
"... In this paper we construct constant dimension space codes with prescribed minimum distance. There is an increased interest in space codes since a paper [13] by Kötter and Kschischang were they gave an application in network coding. There is also a connection to the theory of designs over finite fi ..."
Abstract
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Cited by 46 (4 self)
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In this paper we construct constant dimension space codes with prescribed minimum distance. There is an increased interest in space codes since a paper [13] by Kötter and Kschischang were they gave an application in network coding. There is also a connection to the theory of designs over finite
Sample-Optimal Fourier Sampling in Any Constant Dimension
"... Abstract We give an algorithm for 2 / 2 sparse recovery from Fourier measurements using O(k log N ) samples, matching the lower bound of [DIPW10] for non-adaptive algorithms up to constant factors for any k ≤ N 1−δ . The algorithm runs inÕ(N ) time. Our algorithm extends to higher dimensions, leadi ..."
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Abstract We give an algorithm for 2 / 2 sparse recovery from Fourier measurements using O(k log N ) samples, matching the lower bound of [DIPW10] for non-adaptive algorithms up to constant factors for any k ≤ N 1−δ . The algorithm runs inÕ(N ) time. Our algorithm extends to higher dimensions
On the Decoder Error Probability of Rank Metric Codes and Constant-Dimension Codes
, 2008
"... Rank metric codes can either be used as such for error correction in data storage equipments, or be lifted into constant-dimension codes (CDCs) and thus be used for error correction in random network coding. This paper investigates the decoder error probability (DEP) of rank metric codes and CDCs. W ..."
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Rank metric codes can either be used as such for error correction in data storage equipments, or be lifted into constant-dimension codes (CDCs) and thus be used for error correction in random network coding. This paper investigates the decoder error probability (DEP) of rank metric codes and CDCs
Unification of Coupling Constants, Dimension six Operators and the Spectral Action
"... We investigate whether inclusion of dimension six terms in the Standard Model la-grangean may cause the unification of the coupling constants at a scale comprised be-tween 1014 and 1017 GeV. Particular choice of the dimension 6 couplings is motivated by the spectral action. Given the theoretical and ..."
Abstract
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Cited by 1 (0 self)
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We investigate whether inclusion of dimension six terms in the Standard Model la-grangean may cause the unification of the coupling constants at a scale comprised be-tween 1014 and 1017 GeV. Particular choice of the dimension 6 couplings is motivated by the spectral action. Given the theoretical
Results 1 - 10
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7,145
