本原deBruijn序列的幾個(gè)性質(zhì)
SOME PROPERTIES ON PRIMITIVE de Bruijn SEQUENCES
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摘要: 本文討論了二元本原M序列,證明了二元互反本原M序列具有相等的自相關(guān)函數(shù)和相等的線性復(fù)雜度,并給出了二元互反本原M序列的結(jié)構(gòu)。Abstract: The binary primitive M-sequences are discussed in this paper. It is shown that arbitrary two reciprocal primitive M-sequences have the same auto-correlation function and the equal linear complexity, meanwhile, the configuration of the two M-sequences is proposed.
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曾凡鑫.關(guān)于本原M序列的自相關(guān)函數(shù).電子科學(xué)學(xué)刊,1998,20(6):775-780.[2]曾凡鑫.關(guān)于本原M序列的一些自相關(guān)函數(shù)的取值.通信學(xué)報(bào),1997,18(9):26-30.[3]曾凡鑫.一類M序列自相關(guān)函數(shù)的界.電子學(xué)報(bào),1996,24(4):127.[4]章照止.關(guān)于M序列的相關(guān)函數(shù).系統(tǒng)科學(xué)與數(shù)學(xué),1982,2(4):24l-251.[5]肖國鎮(zhèn),等.偽隨機(jī)序列及其應(yīng)用.北京:國防工業(yè)出版,1985,第2章,第3章.[6]萬哲先 代數(shù)與編碼,北京:科學(xué)出版社,1976,第3章.[7]楊先義,等.編碼密碼學(xué).北京:人民郵電出版社,1992,第18章,第19章.[8]Etzion T,et al.Construction of de Bruijn sequences of minimal complexity.IEEE Trans.on IT., 1984,IT-30(5):705-709.[9]Chan A H,et al.On the complexities of de Bruijn sequences[J].J.Combin.Theory,Ser.A.1982, 33(2):233-246[10]康慶德 關(guān)于de Bruijn序列.通信學(xué)報(bào),1991,12(6):69-76[11]康慶德 求GF(q)上全部M序列的剪接方法.應(yīng)用數(shù)學(xué)學(xué)報(bào),1984,7(1):78-85.[12]高鴻勛.求全部n級(jí)M序列及其反饋函數(shù)的一個(gè)方法與證明,應(yīng)用數(shù)學(xué)學(xué)報(bào),1979,2(4):316-324.[13]蘇駟希,等.從非奇異布爾函數(shù)對(duì)產(chǎn)生M序列.電子學(xué)報(bào),1997,25(1):106-109. -
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