Cyclic subspace codes via subspace polynomials

  title={Cyclic subspace codes via subspace polynomials},
  author={Kamil Otal and F. {\"O}zbudak},
  journal={Designs, Codes and Cryptography},
  • Kamil Otal, F. Özbudak
  • Published 2017
  • Computer Science, Mathematics
  • Designs, Codes and Cryptography
  • Subspace codes have been intensely studied in the last decade due to their application in random network coding. In particular, cyclic subspace codes are very useful subspace codes with their efficient encoding and decoding algorithms. In a recent paper, Ben-Sasson et al. gave a systematic construction of subspace codes using subspace polynomials. In this paper, we mainly generalize and improve their result so that we can obtain larger codes for fixed parameters and also we can increase the… CONTINUE READING

    Topics from this paper.

    A characterization of cyclic subspace codes via subspace polynomials
    • Wei Zhao, Xilin Tang
    • Computer Science, Mathematics
    • 2019
    • 3
    Constructions of cyclic constant dimension codes
    • 8
    • Highly Influenced
    • Open Access
    Cyclic subspace codes and sidon spaces
    Constructions of cyclic and quasi-cyclic Grassmannian codes
    Tables of subspace codes
    • 58
    • Open Access


    Publications referenced by this paper.
    Subspace Polynomials and Cyclic Subspace Codes
    • 18
    • Open Access
    Construction of Large Constant Dimension Codes with a Prescribed Minimum Distance
    • 130
    • Open Access
    Cyclic Orbit Codes
    • 60
    • Open Access
    Cyclic orbit codes and stabilizer subfields
    • 34
    • Open Access
    Error-Correcting Codes in Projective Space
    • 132
    Coding for Errors and Erasures in Random Network Coding
    • 625
    • Open Access
    On a special class of polynomials
    • 198
    • Open Access
    On the Orbits of Singer Groups and Their Subgroups
    • 30
    • Open Access