Andrew Brown | EPFL Graph Search

Codes, graphs and graph based codes

This work is concerned with codes, graphs and their links. Graph based codes have recently become very prominent in both information theory literature and practical applications. While most research has centered around their performance under iterative dec ...

EPFL2007

Some graph products and their expansion properties

Mohammad Amin Shokrollahi, Andrew Brown

We introduce "derandomized" versions of the tensor product and the zig-zag product, extending the ideas in the derandomized squaring operation of Rozenman and Vadhan. These enable us to obtain graphs with smaller degrees than those obtained using their non ...

2006

Improved Decoding of Interleaved AG-Codes

Mohammad Amin Shokrollahi, Lorenz Minder, Andrew Brown

We analyze a generalization of a recent algorithm of Bleichenbacher et al.~for decoding interleaved codes on the

Q

-ary symmetric channel for large

Q

. We will show that for any

m

and any

\epsilon

the new algorithms can decode up to a fraction of at ...

2005