TY - GEN
T1 - Geometrical Properties of Balls in Sum-Rank Metric
AU - Ott, Cornelia
AU - Liu, Hedongliang
AU - Wachter-Zeh, Antonia
N1 - Publisher Copyright:
© VDE VERLAG GMBH · Berlin · Offenbach.
PY - 2023
Y1 - 2023
N2 - The sum-rank metric arises as an algebraic approach for coding in MIMO block-fading channels and multishot network coding. Codes designed in the sum-rank metric have raised interest in applications such as streaming codes, robust coded distributed storage systems and post-quantum secure cryptosystems. The sum-rank metric can be seen as a generalization of the well-known Hamming metric and the rank metric. As a relatively new metric, there are still many open theoretical problems for codes in the sum-rank metric. In this paper we investigate the geometrical properties of the balls with sum-rank radii motivated by investigating covering properties of codes.
AB - The sum-rank metric arises as an algebraic approach for coding in MIMO block-fading channels and multishot network coding. Codes designed in the sum-rank metric have raised interest in applications such as streaming codes, robust coded distributed storage systems and post-quantum secure cryptosystems. The sum-rank metric can be seen as a generalization of the well-known Hamming metric and the rank metric. As a relatively new metric, there are still many open theoretical problems for codes in the sum-rank metric. In this paper we investigate the geometrical properties of the balls with sum-rank radii motivated by investigating covering properties of codes.
KW - balls with sum-rank radii
KW - geometric properties
KW - sum-rank metric codes
UR - http://www.scopus.com/inward/record.url?scp=85166925805&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85166925805
T3 - WSA and SCC 2023 - 26th International ITG Workshop on Smart Antennas and 13th Conference on Systems, Communications, and Coding
SP - 78
EP - 83
BT - WSA and SCC 2023 - 26th International ITG Workshop on Smart Antennas and 13th Conference on Systems, Communications, and Coding
PB - VDE VERLAG GMBH
T2 - 26th International ITG Workshop on Smart Antennas, WSA 2023 and 13th Conference on Systems, Communications, and Coding, SCC 2023
Y2 - 27 February 2023 through 3 March 2023
ER -