منابع مشابه
Equidistant subspace codes
In this paper we study equidistant subspace codes, i.e. subspace codes with the property that each two distinct codewords have the same distance. We provide an almost complete classification of such codes under the assumption that the cardinality of the ground field is large enough. More precisely, we prove that for most values of the parameters, an equidistant code of maximum cardinality is ei...
متن کاملDistributed Storage Systems based on Equidistant Subspace Codes
Distributed storage systems based on equidistant constant dimension codes are presented. These equidistant codes are based on the Plücker embedding, which is essential in the repair and the reconstruction algorithms. These systems posses several useful properties such as high failure resilience, minimum bandwidth, low storage, simple algebraic repair and reconstruction algorithms, good locality...
متن کاملIsotropic Constant Dimension Subspace Codes
In network code setting, a constant dimension code is a set of k-dimensional subspaces of F nq . If F_q n is a nondegenerated symlectic vector space with bilinear form f, an isotropic subspace U of F n q is a subspace that for all x, y ∈ U, f(x, y) = 0. We introduce isotropic subspace codes simply as a set of isotropic subspaces and show how the isotropic property use in decoding process, then...
متن کاملEquidistant codes in the Grassmannian
Equidistant codes over vector spaces are considered. For k-dimensional subspaces over a large vector space the largest code is always a sunflower. We present several simple constructions for such codeswhichmight produce the largest non-sunflower codes. A novel construction, based on the Plücker embedding, for 1-intersecting codes of k-dimensional subspaces over Fq , n ≥ k+1 2 , where the cod...
متن کاملOn Equidistant Constant Weight Codes
Equidistant constant weight codes are studied in this paper. The dual distance distribution of equidistant constant weight codes is investigated and used to obtain upper bounds on the size of such codes as well as equidistant codes in general. ? 2003 Elsevier Science B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2016
ISSN: 0024-3795
DOI: 10.1016/j.laa.2015.10.029