Title :
The new construction of rank codes
Author :
Kshevetskiy, Alexander ; Gabidulin, Ernst
Author_Institution :
Dept. of Radio Eng., Moscow Inst. of Phys. & Technol., Dolgoprudny
Abstract :
The only known construction of error-correcting codes in rank metric was proposed in 1985. These were codes with fast decoding algorithm. We present a new construction of rank codes, which defines new codes and includes known codes. This is a generalization of E.M. Gabidulin, 1985. Though the new codes seem to be very similar to subcodes of known rank codes, we argue that these are different codes. A fast decoding algorithm is described
Keywords :
decoding; error correction codes; matrix algebra; error-correcting codes; fast decoding algorithm; rank codes; Decoding; Encoding; Equations; Error correction codes; Hydrogen; Linear code; Parity check codes; Physics; Vectors;
Conference_Titel :
Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-9151-9
DOI :
10.1109/ISIT.2005.1523717
