On a Family of Error Correcting and Synchronizable Codes
Desirable codes for information transmission for a real channel should have two properties: they should correct errors as long as the channel behaves as expected and they should limit the effect of noise which causes temporary violation of the presumed error pattern. In earlier terminology, they should be error-correcting and error-limiting. The painful problem in construction of desirable codes is the proof that the manufactured codes actually have these properties. This problem can at times be circumvented by a clever use of theorems which permit the utilization of known literature results concerning codes with the properties. In the paper (February 1968), the author employs this technique to provide a family of desirable codes and gives quantitative findings about some of their characteristics.
KeywordsBinary Sequence Code Word Short Word Cyclic Shift Real Channel
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