LTcodesareasymptoticallyoptimalratelesserasurecodeswithhighlyefficientencod-inganddecodingalgorithms.Intheoriginalanalysisofthesecodes, itwasassumedthat foreachencodingsymbol, theneighborsusedtogeneratethatencodingsymbolarechosen uniformlyatrandom. PracticalimplementationsofLTcodescannotaffordthisamountofrandomness, be-causeallrandombitsmustbecommunicatedtothedecodingparty.Instead, theyuse alinearcongruentialgeneratortoreducetherandomnessusedperencodingsymboltoa seedconsistingoftworandomnumbers.Weshowthatsuch limitedrandomness LTcodes performalmostaswellasthefullyrandomversion.ThusevenlimitedrandomnessLT codesareasymptoticallyoptimal.

limitedrandomnessltcodes.pdf

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