Bounds on the Covering Radius of Linear Codes
Designs, Codes and Cryptography
ACS'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Applied Computer Science - Volume 7
Binomial and monotonic behavior of the probability of undetected error and the 2-r-bound
WSEAS TRANSACTIONS on COMMUNICATIONS
WSEAS TRANSACTIONS on COMMUNICATIONS
The minimum distance of the dual of a CRC
CIMMACS'07 Proceedings of the 6th WSEAS international conference on Computational intelligence, man-machine systems and cybernetics
Hi-index | 754.84 |
We consider the problem of bounding the distance distribution for unrestricted block codes with known distance and/or dual distance. Applying the polynomial method, we provide a general framework for previously known results. We derive several upper and lower bounds both for finite length and for sequences of codes of growing length. Asymptotic results in the paper improve previously known estimates. In particular, we prove the best known bounds on the binomiality range of the distance spectrum of codes with a known dual distance