【创源大讲堂】Generator polynomials of cyclic expurgated or extended Goppa codes
摘要:ClassicalGoppacodesareawell-knownclassofcodeswithapplicationsincode-basedcryptography,whichareaspecialcaseofalternantcodes.ManypapersaredevotedtothesearchforGoppacodeswithacyclicextensionorwithacyclicparity-checksubcode.LetF_qbeafinitefieldwithq=2^melements,wheremisapositiveinteger.Inthispaper,wedetermineallthegeneratorpolynomialsofcyclicexpurgatedorextendedGoppacodesundersomeprescribedpe...