笛卡爾張量 的英文怎麼說
中文拼音 [díkǎěrzhāngliáng]
笛卡爾張量
英文
cartesian tensor-
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。
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