正規線性運算元 的英文怎麼說

中文拼音 [zhēngguīxiànxìngyùnsuànyuán]
正規線性運算元 英文
normal linear operator
  • : 正名詞(正月) the first month of the lunar year; the first moon
  • : Ⅰ名詞1 (畫圓形的工具) instrument for drawing circles 2 (規則; 成例) rule; regulation 3 [機械...
  • : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
  • : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
  • : Ⅰ動詞1 (物體位置不斷變化) move; revolve 2 (搬運; 運輸) carry; transport 3 (運用) use; wield...
  • : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
  • 正規 : regular; standard; normal正規部隊 regular troops; regulars; 正規教育 regular education; proper ed...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  • 運算 : [數學] operation; arithmetic; operating
  1. Firstly, we generalize and analyze the advantages and present research of elliptic curve cryptography ; secondly, we study the basic theory of the ecc ; thirdly, we illustrate the safety of the ecc and discuss the elliptic curve key agreement scheme, elliptic curve encryption scheme and elliptic curve digital signature algorithm ; fourthly, we study fast algorithms of the multiplication and inversion multiplication of the element of in the underlying finite field f2m whose characteristic is two represented by the two basis of optimal normal basis and polynomial basis. we make improvements to the fast algorithm of the polynomial basis multiplication by hankerson and base on the experiments, we describe the properties and compare the advantages of the multiplication and inversion multiplication of the elements in f2m field under optimal normal bases and polynomial basis. results concluding from the study car be used as references in the realization of the elliptic curve cryptosystem ; fifthly, we overview the current fast algorithm of point multiplication, improve the fix base point comb algorithm, advance the speed of the whole system and remark the advantages and disadvantages of the popular algorithms based upon the experimental datas ; sixthly we realize the algorithm library of elliptic curve cryptography based on the f2m. only change slightly in our algorithm library can we realize the ecdh, eces, ecdsa based onf2m of anysize ; seventhly, we realize the ecc on two secure elliptic curves, including ecdh, eces, ecdsa

    本文首先介紹並分析了橢圓曲密碼體制的優點及研究現狀;其次研究了橢圓曲密碼體制的基本理論;第三,分析了橢圓曲密碼的安全並介紹了密鑰共享,加密,數字簽名等橢圓曲密碼體制;第四,深入研究了特徵為2的有限域f _ 2m中的素在多項式基和最優基表示下的乘法和乘法逆的快速演法,並對hankerson等人提出的多項式基下的乘法的快速演法作了改進,而且在實驗的基礎上不僅分析研究了f _ 2m域中素在多項式基和最優基表示下的乘法和乘法逆能,還對這兩種基表示下的f _ 2m域中效率的優劣作了比較和研究,所得的結論可供在實現橢圓曲密碼體制時參考;第五,研究了目前流行的計橢圓曲標量乘法的快速演法,同時改進了固定基點梳形法,提高了整個系統的速度,並在實驗的基礎上分析研究了流行演法的優劣;第六,實現了基於f _ 2m的橢圓曲密碼體制的演法庫,在我們的演法庫中只需稍微改變便能實現基於任意尺寸的f _ 2m上的ecdh , eces , ecdsa等橢圓曲密碼體制;第七,實現了兩條安全橢圓曲上的橢圓曲密碼體制,包括ecdh , eces , ecdsa 。
分享友人