Open AccessOn generalized hamming weighs for Galois ring linear codes
Author(s) -
Alexei Ashikhmin
Publication year - 1997
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/515638
Subject(s) - hamming code , linear code , mathematics , hamming(7,4) , discrete mathematics , hamming bound , ring (chemistry) , combinatorics , block code , algorithm , decoding methods , chemistry , organic chemistry
The definition of generalized Hamming weights (GHW) for linear codes over Galois rings is discussed. The properties of GHW for Galois ring linear codes are stated. Upper and existence bounds for GHW of Z{sub 4}-linear codes and a lower bound for GHW of the Kerdock code over Z{sub 4} are derived. GHW of some Z{sub 4}-linear codes are determined
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom