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Parallel error correcting codes

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3 Author(s)
Ahlswede, R. ; Fak. fur Math., Bielefeld Univ., Germany ; Balkenhol, B. ; Ning Cai

We introduce the concept of "parallel error correcting" codes, the error correcting codes for parallel channels. Here, a parallel channel is a set of channels such that the additive error over a finite field occurs in one of its members at time T if the same error occurs in all members at the same time. The set of codewords of a parallel error correcting code has to be a product set, if the messages transmitted are from independent information sources. We present a simple construction of optimal parallel error correcting codes based on ordinary optimal error correcting codes and a construction of optimal linear parallel codes for independent sources based on optimal ordinary linear error correcting codes. The decoding algorithms for these codes are provided as well

Published in:

Information Theory, IEEE Transactions on  (Volume:48 ,  Issue: 4 )