Article

# On classes of convolutional codes that are not asymptotically catastrophic

Dept. of Inf., Bergen Univ.
IEEE Transactions on Information Theory (impact factor: 3.01). 04/2000; DOI:10.1109/18.825838 pp.663 - 669
Source: IEEE Xplore

ABSTRACT The author denotes by w0 the minimum average weight per
edge over all nonzero cycles in the state diagram for a convolutional
code, and assumes that a technique is available for generating canonical
parity-check matrices for codes with increasing degree m. The obtained
class of codes is asymptotically catastrophic if w0
approaches zero for large m. We prove the existence of convolutional
code classes that are not asymptotically catastrophic by providing
explicit constructions of codes with nonzero w0 for all m

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### Keywords

asymptotically catastrophic

degree m

large m

minimum average weight

nonzero cycles

state diagram