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Paper detail

Edge Transitive Ramanujan Graphs and Highly Symmetric LDPC Good Codes

We present a symmetric LDPC code with constant rate and constant distance (i.e. good LDPC code) that its constraint space is generated by the orbit of one constant weight constraint under a group action. Our construction provides the first symmetric LDPC good codes. This solves the main open problem raised by Kaufman and Wigderson in [4].

preprint2011arXivOpen access
Tali KaufmanAlexander Lubotzky
math.COmath.ITInformation Theorymath.GR
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Tali KaufmanAlexander Lubotzky

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