Title :
On the generalized Hamming weights of convolutional codes
Author :
Rosenthal, Joachim ; York, Eric V.
Author_Institution :
Dept. of Math., Notre Dame Univ., IN, USA
fDate :
1/1/1997 12:00:00 AM
Abstract :
Motivated by applications in cryptology, Wei (1991) introduced the concept of a generalized Hamming weight for a linear block code. In this correspondence, we define generalized Hamming weights for the class of convolutional codes and we derive several of their basic properties. By restricting to convolutional codes having a generator matrix G(D) with bounded Kronecker indices we are able to derive upper and lower bounds on the weight hierarchy
Keywords :
block codes; convolutional codes; cryptography; linear codes; bounded Kronecker indices; convolutional codes; cryptology; generalized Hamming weights; generator matrix; linear block code; lower bounds; upper bounds; weight hierarchy; Block codes; Convolutional codes; Cryptography; Hamming weight; Information theory; Mathematics; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
