Publication: On the geometry of balls in the Grassmannian and list decoding of lifted Gabidulin codes
On the geometry of balls in the Grassmannian and list decoding of lifted Gabidulin codes
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Rosenthal, J., Silberstein, N., & Trautmann, A. L. (2014). On the geometry of balls in the Grassmannian and list decoding of lifted Gabidulin codes. Designs, Codes and Cryptography, 73(2), 393–416. https://doi.org/10.1007/s10623-014-9932-x
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The finite Grassmannian Gq(k, n) is defined as the set of all k -dimensional subspaces of the ambient space Fq n. Subsets of the finite Grassmannian are called constant dimension codes and have recently found an application in random network coding. In this setting codewords from G q(k, n) are sent through a network channel and, since errors may occur during transmission, the received words can possibly lie in G q(k, n), where k' ≠ k. In this paper, we study the balls in G q(k, n) with center that is not necessarily in Gq (k, n). We d
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- Rosenthal, Joachim
- Silberstein, Natalia
- Trautmann, Anna Lena
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Rosenthal, J., Silberstein, N., & Trautmann, A. L. (2014). On the geometry of balls in the Grassmannian and list decoding of lifted Gabidulin codes. Designs, Codes and Cryptography, 73(2), 393–416. https://doi.org/10.1007/s10623-014-9932-x
