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On primitive constant dimension codes and a geometrical sunflower bound

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Abstract
In this paper we study subspace codes with constant intersection dimension (SCIDs). We investigate the largest possible dimension spanned by such a code that can yield non-sunflower codes, and classify the examples attaining equality in that bound as one of two infinite families. We also construct a new infinite family of primitive SCIDs.
Keywords
Subspace codes, constant intersection dimension codes, rank codes, finite geometry, Galois geometry, SUBSPACE, SETS

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Please use this url to cite or link to this publication:

Chicago
Barrolleta, Roland D, Emilio Suárez-Canedo, Leo Storme, and Peter Vandendriessche. 2017. “On Primitive Constant Dimension Codes and a Geometrical Sunflower Bound.” Advances in Mathematics of Communications 11 (4): 757–765.
APA
Barrolleta, R. D., Suárez-Canedo, E., Storme, L., & Vandendriessche, P. (2017). On primitive constant dimension codes and a geometrical sunflower bound. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 11(4), 757–765.
Vancouver
1.
Barrolleta RD, Suárez-Canedo E, Storme L, Vandendriessche P. On primitive constant dimension codes and a geometrical sunflower bound. ADVANCES IN MATHEMATICS OF COMMUNICATIONS. 2017;11(4):757–65.
MLA
Barrolleta, Roland D et al. “On Primitive Constant Dimension Codes and a Geometrical Sunflower Bound.” ADVANCES IN MATHEMATICS OF COMMUNICATIONS 11.4 (2017): 757–765. Print.
@article{8563214,
  abstract     = {In this paper we study subspace codes with constant intersection dimension (SCIDs). We investigate the largest possible dimension spanned by such a code that can yield non-sunflower codes, and classify the examples attaining equality in that bound as one of two infinite families. We also construct a new infinite family of primitive SCIDs.},
  author       = {Barrolleta, Roland D and Suárez-Canedo, Emilio and Storme, Leo and Vandendriessche, Peter},
  issn         = {1930-5346},
  journal      = {ADVANCES IN MATHEMATICS OF COMMUNICATIONS},
  keywords     = {Subspace codes,constant intersection dimension codes,rank codes,finite geometry,Galois geometry,SUBSPACE,SETS},
  language     = {eng},
  number       = {4},
  pages        = {757--765},
  title        = {On primitive constant dimension codes and a geometrical sunflower bound},
  url          = {http://dx.doi.org/10.3934/amc.2017055},
  volume       = {11},
  year         = {2017},
}

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