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CORR
2008
Springer
104views Education» more  CORR 2008»
13 years 5 months ago
The Case for Structured Random Codes in Network Capacity Theorems
Random coding arguments are the backbone of most channel capacity achievability proofs. In this paper, we show that in their standard form, such arguments are insufficient for pro...
Bobak Nazer, Michael Gastpar
INFOCOM
2002
IEEE
13 years 9 months ago
On the capacity of wireless networks: The relay case
Abstract— In [1], Gupta and Kumar determined the capacity of wireless networks under certain assumptions, among them point-to-point coding, which excludes for example multi-acces...
Michael Gastpar, Martin Vetterli
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 5 months ago
On the Capacity of Non-Coherent Network Coding
The min-cut value towards a single receiver in a network with unit capacity edges can be achieved by routing a single bit. The multicast theorem in network coding shows that, the c...
Mahdi Jafari Siavoshani, Soheil Mohajer, Christina...
SODA
2008
ACM
95views Algorithms» more  SODA 2008»
13 years 6 months ago
Concatenated codes can achieve list-decoding capacity
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
STOC
1994
ACM
134views Algorithms» more  STOC 1994»
13 years 9 months ago
A coding theorem for distributed computation
Shannon's Coding Theorem shows that in order to reliably transmit a message of T bits over a noisy communication channel, only a constant slowdown factor is necessary in the ...
Sridhar Rajagopalan, Leonard J. Schulman