Multi-Error Correcting Codes for a Binary Asymmetric Channel

Many binary channels currently in use exhibit highly asymmetric transmission characteristics. In such a channel, it may be sufficient to correct only those errors which result from incorrect transmission of one of the two code elements. The minimum distance requirement for a pair of i-tuple, error correcting code characters in such a case is weaker than in the case of a symmetric channel. This weaker requirement is used to generate codes which generally contain more code characters for a given length than codes designed for use in a symmetric channel. The resulting code is symbol-correcting rather than message-correcting.