hamming function 中文意思是什麼
hamming function
解釋
漢明函數-
In this paper, we will more deeply research on the base of the works, the first part, we give the summarize for the condition and the significance. the second part, we give the preparation knowledge to the whole paper ; the third part, we research the lower and upper bound of the generalized hamming weights for the linear codes ; include d ( r, n, k ) bound, the finite sum representation of the lower and upper bound function of generalized hamming weights for linear codes, generalized griesmer bounds ; the 4 - th part, research the definition, the property of the r - th generalized weights for the non - linear codes and non - linear constant codes, and give the expression of the generalized weight of binary ( n, m, d ) non - linear codes ; the 5 - th part, research the weight hierarchy of linear codes and non - linear codes, for example, necessary condition and sufficient condition, the 6 - th part, we research the expression of the r - th generalized hamming weights of reseaval classes codes
本文在已有的基礎之上作了進一步的探討，第一章綜述了廣義hamming重量的現狀和意義；第二章給出了全文的預備知識；第三章研究了線性碼的廣義hamming重量的一些上下界；包括d （ r ， n ， k ）界，上下限函數有限和表達式，廣義griesmer界；第四章討論了非線性碼及非線性等重碼的廣義hamming重量的定義、性質，給出了2元（ n ， m ， d ）非線性碼的第r廣義hamming重量的表達式；第五章研究了線性碼、非線性碼的重量譜系；第六章給出了幾類碼的廣義hamming重量的表達式，這些碼包括直和碼（ directsumcodes ） 、笛卡爾積碼（ cartesianproductcodes ） 、張量積碼（ tensorproductcodes ） 、延長hamming碼。 -
Second, we discuss the correlation properties and the hamming correlation properties of a number of trace function generation sequences by using systematic ways. we calculate the correlation function of generalized trace function sequences which include no sequences > kasami sequences and kumar - moreno sequences, and we also calculate the hamming correlation function of no sequences ^ kasami sequences and kumar - moreno sequences. at last, we degine the frequency - hopping sequences with optimal hamming correlation properties
其次，用較為統一的工具去研究各種跡函數生成序列的相關特性與hamming相關特性，求出了更廣意義下跡函數生成序列的相關函數，這類序列包括了no序列、 kasami序列與kumar - moreno序列；同時求出了no序列、 kasami序列和kumar - moreno序列的hamming相關函數值，研究發現某些具有良好相關特性的跡函數生成序列未必具有良好的hamming相關特性；最後，構造了具有最佳hamming相關性能的跳頻序列族。
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