TY - GEN
T1 - Interleaving of Polymorphic Gabidulin Codes
T2 - 18th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2023
AU - Li, Wenhui
AU - Sidorenko, Vladimir
AU - Wachter-Zeh, Antonia
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - We define and analyze a new broad class of L-interleaved generalized Gabidulin codes over a cyclic Galois extension of a finite or an infinite field. Component codes can have different lengths, dimensions, supports, and field automorphisms, therefore, they are called polymorphic. Given a list Θ = (θ1,..., θL) of the field automorphisms, we define the Θ-distance, that coincides with the rank distance if θi = const. We show which codes in this class reach the Singleton bound. For the proposed codes we give an efficient unique syndrome decoding algorithm based on the skew transform, which corrects errors of Θ-weight beyond half the code Θ-distance.
AB - We define and analyze a new broad class of L-interleaved generalized Gabidulin codes over a cyclic Galois extension of a finite or an infinite field. Component codes can have different lengths, dimensions, supports, and field automorphisms, therefore, they are called polymorphic. Given a list Θ = (θ1,..., θL) of the field automorphisms, we define the Θ-distance, that coincides with the rank distance if θi = const. We show which codes in this class reach the Singleton bound. For the proposed codes we give an efficient unique syndrome decoding algorithm based on the skew transform, which corrects errors of Θ-weight beyond half the code Θ-distance.
UR - https://www.scopus.com/pages/publications/85180154291
U2 - 10.1109/Redundancy59964.2023.10330173
DO - 10.1109/Redundancy59964.2023.10330173
M3 - Conference contribution
AN - SCOPUS:85180154291
T3 - 2023 18th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2023
SP - 110
EP - 115
BT - 2023 18th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2023
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 24 October 2023 through 27 October 2023
ER -