Error Correcting Codes Over Reals

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Such subspaces are known to also yield error-correcting codes over the reals and compressed sensing matrices. Our subspaces are defined by the kernel of a.

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Error-correcting code – Encyclopedia of Mathematics – A set of messages destined for transmission over a communication channel with noise with the property that the "neighbourhood" of each message (that is, the set of most likely distorted versions of this message) does not intersect with the neighbourhoods of other messages.

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Such subspaces are known to also yield error-correcting codes over the. reals and compressed sensing matrices. It has parallels to iterative decoding of. Tanner codes, and leads to an analogous near-linear time algorithm for. error-correction over reals.

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It is known that such subspaces give rise to error-correcting codes over the reals and com- pressed sensing matrices. As in the work of Guruswami, Lee, and.

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This yields robust error correcting codes over reals (and over alphabets of polynomial size), with a Gilbert-Varshamov type bound, and with quadratic time encoders and polynomial time decoders. An equivalent problem arises in signal processing.

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