Publication: Column Rank Distances of Rank Metric Convolutional Codes
Column Rank Distances of Rank Metric Convolutional Codes
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Napp, D., Pinto, R., Rosenthal, J., & Santana, F. (2017). Column Rank Distances of Rank Metric Convolutional Codes. In Á. I. Barbero, V. Skachek, & Ø. Ytrehus (Eds.), Coding Theory and Applications: 5th International Castle Meeting on Coding Theory and Applications (No. 10495; Vol. 10495, Issue 10495, pp. 248–256). Springer. https://doi.org/10.1007/978-3-319-66278-7_21
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In this paper, we deal with the so-called multi-shot network coding, meaning that the network is used several times (shots) to propagate the information. The framework we present is slightly more general than the one which can be found in the literature. We study and introduce the notion of column rank distance of rank metric convolutional codes for any given rate and finite field. Within this new framework we generalize previous results on column distances of Hamming and rank metric convolutional codes [3, 8]. This contribution can b
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Napp, D., Pinto, R., Rosenthal, J., & Santana, F. (2017). Column Rank Distances of Rank Metric Convolutional Codes. In Á. I. Barbero, V. Skachek, & Ø. Ytrehus (Eds.), Coding Theory and Applications: 5th International Castle Meeting on Coding Theory and Applications (No. 10495; Vol. 10495, Issue 10495, pp. 248–256). Springer. https://doi.org/10.1007/978-3-319-66278-7_21