二進(jìn)制標(biāo)準(zhǔn)正交對(duì)偶序列的游程定理
RUN THEOREMS OF NORMAL ORTHOGONAL DUALITY OF BINARY SEQUENCES
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摘要: 本文借助于二進(jìn)制序列的游程相關(guān)函數(shù)(楊光正等,1998)研究了標(biāo)準(zhǔn)正交對(duì)偶的性質(zhì)。為證明定理的需要,文中引入了單純性碼段的概念,導(dǎo)出了標(biāo)準(zhǔn)正交對(duì)偶游程數(shù)之間,對(duì)偶碼身游程數(shù)之間以及對(duì)偶定型常數(shù)之間的關(guān)系。
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關(guān)鍵詞:
- 標(biāo)準(zhǔn)正交對(duì)偶; 游程; 碼身; 定型常數(shù)
Abstract: The properties of normal orthogonal duality of binary sequences are investigated by means of RCF of binary sequences. In order to prove the theorems given in this paper, the concept of pure code segment is introduced. And then, the relations between run numbers of pairs in duality, between run numbers of the code-bodyies of pairs in duality, and the type constants of pairs in duality are derived respectively. -
楊光正,楊翔字,徐麗娟.二進(jìn)制序列的游程相關(guān)函數(shù).電子科學(xué)學(xué)刊,1998, 20(3), 342-351.[2]楊光正,楊翔字,徐麗娟.二進(jìn)制序列的Tseng游程定理.電子科學(xué)學(xué)刊,1998,20(4):500-507.[3]楊光正,楊翔字,徐麗娟.二進(jìn)例序列的重量定理和Hamming距離定理.電子科學(xué)學(xué)刊,1998, 20(5), 631-640. -
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