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- Rudolf Ahlswede, Ning Cai, Shuo-Yen Robert Li, Raymond W. Yeung
- IEEE Trans. Information Theory
- 2000

We introduce a new class of problems called network information flow which is inspired by computer network applications. Consider a point-to-point communication network on which a number of information sources are to be mulitcast to certain sets of destinations. We assume that the information sources are mutually independent. The problem is to characterize… (More)

- Shuo-Yen Robert Li, Raymond W. Yeung, Ning Cai
- IEEE Trans. Information Theory
- 2003

Consider a communication network in which certain source nodes multicast information to other nodes on the network in the multihop fashion where every node can pass on any of its received data to others. We are interested in how fast each node can receive the complete information, or equivalently, what the information rate arriving at each node is. Allowing… (More)

- Raymond W. Yeung, Ning Cai
- 2006

Error correction in existing point-to-point communication networks is done on a link-by-link basis, which is referred to in this paper as classical error correction. Inspired by network coding, we introduce in this two-part paper a new paradigm called network error correction. The theory thus developed subsumes classical algebraic coding theory as a special… (More)

- Ning Cai, Raymond W. Yeung
- IEEE Transactions on Information Theory
- 2011

In the paradigm of network coding, the nodes in a network are allowed to encode the information received from the input links. With network coding, the full capacity of the network can be utilized. In this paper, we propose a model, call the wiretap network, that incorporates information security with network coding. In this model, a collection of subsets… (More)

- Ning Cai, Raymond W. Yeung
- 2006

In Part I of this paper, we introduced the paradigm of network error correction as a generalization of classical link-by-link error correction. We also obtained the network generalizations of the Hamming bound and the Singleton bound in classical algebraic coding theory. In Part II, we prove the network generalization of the Gilbert-Varshamov bound and its… (More)

- Rudolf Ahlswede, Ning Cai
- Electronic Notes in Discrete Mathematics
- 2005

We analyze wire-tape channels with secure feedback from the legitimate receiver.We present a lower bound on the transmission capacity (Theorem 1), which we conjecture to be tight and which is proved to be tight (Corollary 1) for Wyner’s original (degraded) wire-tape channel and also for the reversely degraded wire-tape channel for which the legitimate… (More)

- Raymond W. Yeung, Shuo-Yen Robert Li, Ning Cai, Zhen Zhang
- Foundations and Trends in Communications and…
- 2005

Store-and-forward had been the predominant technique for transmitting information through a network until its optimality was refuted by network coding theory. Network coding offers a new paradigm for network communications and has generated abundant research interest in information and coding theory, networking, switching, wireless communications,… (More)

- Rudolf Ahlswede, Ning Cai, Zhen Zhang
- IEEE Trans. Information Theory
- 1996

For the discrete memoryless channel (X ;Y;W ) we give characterisations of the zero{ error erasure capacity Cer and the zero{error average list size capacity Ca` in terms of limits of suitable information resp. divergence quantities (Theorem 1). However, they don't \single{letterize". Next we assume that X Y and W (xjx) > 0 for all x 2 X , and we associate… (More)

- Lihua Song, Richard W. Yeung, Ning Cai
- IEEE Trans. Information Theory
- 2003

- Rudolf Ahlswede, Ning Cai
- IEEE Trans. Information Theory
- 1994