Barker碼的一些結論和二元碼的優(yōu)選問題
SOME CONCLUSIONS ON BARKER CODES AND THE PROBLEM OF SEEKING BEST BINARY CODE
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摘要: 本文最終證明了不存在n13位的Barker碼,并探索了二相碼的解析優(yōu)選法。文中定義了一個Yn矩陣,并由Yn導出了二相碼的重量w,Hamming距離d,游程數(shù)和碼長n之間的關系式,所得關系不僅揭示出二相碼各參數(shù)之間的內(nèi)在聯(lián)系,而且可用它來解決Barker碼的存在性問題,從而將二相碼的優(yōu)選問題建立在解析的基礎上。文中還舉出了應用實例。
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關鍵詞:
- Barker碼; 二元碼; 選碼方法
Abstract: A new method that seek out best binary code by means of analytics is proposed in this paper, and it was proved that there is no n 13 Barker code as well. -
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