hamming weight 中文意思是什麼
hamming weight
解釋
漢明權-
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。 -
Generalized hamming weights for nonlinear constant weight codes
重量幾點注記 -
So many researcher study to the extensive and higher the generalized hamming weight in the internal and the external
因此國內外不少學者對廣義hamming重量進行了廣泛而深入的研究。 -
It is more difficult to work out the all generalized hamming weight for the code, at present, the generalized hamming weights are worked out with some codes in the most of works, or some lower and upper bounds are given with the generalized hamming weights
由於求一個碼的廣義hamming重量是一項比較難的工作，目前國內外只求出了某一類碼的全部廣義hamming重量，但大多數文獻只求出了某些碼的（前幾個）廣義hamming重量，或給出廣義hamming重量的一些上下界。
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