Parallel error correcting codes

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

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
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.
Erscheinungsjahr
Zeitschriftentitel
IEEE TRANSACTIONS ON INFORMATION THEORY
Band
48
Zeitschriftennummer
4
Seite
959-962
ISSN
PUB-ID

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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. doi:10.1109/18.992800
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.