TY - GEN
T1 - On interleaved rank metric codes
AU - Sidorenko, Vladimir
AU - Li, Wenhui
AU - Kramer, Gerhard
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/10/11
Y1 - 2020/10/11
N2 - Horizontal and vertical interleavings of arbitrary matrix or vector rank metric codes are considered. A necessary and sufficient condition for an interleaved code to be maximum rank distance (MRO) code is obtained. In particular, horizontal interleaving of Gabidulin vector codes over the field {\mathbb{F}_{{qm}}} gives an example of a non-Gabidulin MRD code of length more than m. It is shown that interleaving of Gabidulin codes with different sets of locators can be decoded directly by syndrome decoders. Any other decoder can also be used in the case of different locators after making proposed modification of the received word.
AB - Horizontal and vertical interleavings of arbitrary matrix or vector rank metric codes are considered. A necessary and sufficient condition for an interleaved code to be maximum rank distance (MRO) code is obtained. In particular, horizontal interleaving of Gabidulin vector codes over the field {\mathbb{F}_{{qm}}} gives an example of a non-Gabidulin MRD code of length more than m. It is shown that interleaving of Gabidulin codes with different sets of locators can be decoded directly by syndrome decoders. Any other decoder can also be used in the case of different locators after making proposed modification of the received word.
UR - http://www.scopus.com/inward/record.url?scp=85103936511&partnerID=8YFLogxK
U2 - 10.1109/ACCT51235.2020.9383406
DO - 10.1109/ACCT51235.2020.9383406
M3 - Conference contribution
AN - SCOPUS:85103936511
T3 - Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020
SP - 128
EP - 134
BT - Proceedings of the 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 17th International Workshop on Algebraic and Combinatorial Coding Theory, ACCT 2020
Y2 - 11 October 2020 through 17 October 2020
ER -