Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback

Ahlswede R, Cai N (2002)
IEEE TRANSACTIONS ON INFORMATION THEORY 48(8): 2153-2162.

Journal Article | Published | English

No fulltext has been uploaded

Author
Abstract
Whereas the average error capacity region R-a for the multiple-access channel (MAC) W: X x Y --> Z has been known for a long time [1], very little is known about the capacity region R-m for the maximal error concept (as,predicted by Ahlswede in 1971). In spite of great efforts during the past three decades even for some special examples of deterministic MAC, for which the maximal error concept coincides with the concept of unique decodability, the progress has been slow. It is known that the permission of list codes can be of great help, even if list sizes are of negligible rates (cf. the arbitrarily varying channel (AVC) and, especially, Shannon's zero-error capacity problem for the one-way channels). Therefore, it is theoretically appealing to look at their regions R-m,R-l for the MAC. For a nice class of deterministic MAC, which we call "seminoisy," we completely characterized R-m,R- l. For these channels, the Y-input is determined uniquely by the output: Dueck's example with R-a not equal R-m and Vanroose's "noiseless binary switching MAC" with R-a = R-m fall into this class. Finally, for this class, the capacity region R-m,R- f, which concerns complete feedback, equals R-m,R- l.
Publishing Year
ISSN
PUB-ID

Cite this

Ahlswede R, Cai N. Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback. IEEE TRANSACTIONS ON INFORMATION THEORY. 2002;48(8):2153-2162.
Ahlswede, R., & Cai, N. (2002). Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback. IEEE TRANSACTIONS ON INFORMATION THEORY, 48(8), 2153-2162.
Ahlswede, R., and Cai, N. (2002). Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback. IEEE TRANSACTIONS ON INFORMATION THEORY 48, 2153-2162.
Ahlswede, R., & Cai, N., 2002. Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback. IEEE TRANSACTIONS ON INFORMATION THEORY, 48(8), p 2153-2162.
R. Ahlswede and N. Cai, “Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback”, IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 48, 2002, pp. 2153-2162.
Ahlswede, R., Cai, N.: Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback. IEEE TRANSACTIONS ON INFORMATION THEORY. 48, 2153-2162 (2002).
Ahlswede, Rudolf, and Cai, N. “Seminoisy deterministic multiple-access channels: Coding theorems for list codes and codes with feedback”. IEEE TRANSACTIONS ON INFORMATION THEORY 48.8 (2002): 2153-2162.
This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Web of Science

View record in Web of Science®

Search this title in

Google Scholar