Parallel error correcting codes

Ahlswede R, Balkenhol B, Cai N (2002)
IEEE TRANSACTIONS ON INFORMATION THEORY 48(4): 959-962.

Journal Article | Published | English

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Abstract
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 iff 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.
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Ahlswede R, Balkenhol B, Cai N. Parallel error correcting codes. IEEE TRANSACTIONS ON INFORMATION THEORY. 2002;48(4):959-962.
Ahlswede, R., Balkenhol, B., & Cai, N. (2002). Parallel error correcting codes. IEEE TRANSACTIONS ON INFORMATION THEORY, 48(4), 959-962.
Ahlswede, R., Balkenhol, B., and Cai, N. (2002). Parallel error correcting codes. IEEE TRANSACTIONS ON INFORMATION THEORY 48, 959-962.
Ahlswede, R., Balkenhol, B., & Cai, N., 2002. Parallel error correcting codes. IEEE TRANSACTIONS ON INFORMATION THEORY, 48(4), p 959-962.
R. Ahlswede, B. Balkenhol, and N. Cai, “Parallel error correcting codes”, IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 48, 2002, pp. 959-962.
Ahlswede, R., Balkenhol, B., Cai, N.: Parallel error correcting codes. IEEE TRANSACTIONS ON INFORMATION THEORY. 48, 959-962 (2002).
Ahlswede, Rudolf, Balkenhol, Bernhard, and Cai, N. “Parallel error correcting codes”. IEEE TRANSACTIONS ON INFORMATION THEORY 48.4 (2002): 959-962.
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