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The projective geometry (PG) based low density parity check (LDPC) codes are gaining popularity due to their ease of encoding and decoding by the simple majority logic technique. These codes have a flurry of other useful properties, making them ideal candidates/codes for error correction for future wireless applications. This paper brings out a detailed study on the performance of PG codes for different...
Classical results from the 1970's state that w.h.p. a random subspace of N-dimensional Euclidean space of proportional (linear in N) dimension is ??well-spread?? in the sense that vectors in the subspace have their f2 mass smoothly spread over a linear number of coordinates. Such well-spread subspaces are intimately connected to low distortion embeddings, compressed sensing matrices, and error-correction...
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