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...
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...
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...
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...
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 ...