quadratic residue 中文意思是什麼

quadratic residue 解釋
二次剩餘
  • quadratic : adj. 1. 【數學】二次的。2. 方形的。n. 1. 【數學】二次方程式；二次項。2. 〈pl. 作單數用〉【數學】二次方程式論。
  • residue : n. 殘余，殘渣，餘款；【林業】廢材，木屑；【法律】剩餘遺產，余產；【化學】殘基；濾渣；余渣，殘余物；【數學】殘數，留數，余數。 for the residue 至於其餘；說到其他。
  1. Generally, this problem is reduced to quadratic residue problem of modulo a big prime number

    一般而言，該問題歸結為模大素數的二次剩餘問題，但這種歸結不能用於最優擴域oef 。
  2. Their difference is a quadratic residue of 17.

    它們的差是17的平方剩餘。
  3. Based on the group theoretic framework, equivalent forms of quantum error correcting codes are found for encoding three qubits in eight qubits and correcting one error. a class of quantum cyclic codes of encoding one qubit and correcting two or three random quantum errors is obtained via quadratic residue

    第四章研究了量子糾錯碼，基於群論框架求出了量子8編3碼的等價碼，用二次剩餘方法求出了一類糾兩位和三位錯的量子碼。
  4. But this reduction is not applicable to optimal extension fields ( oef ). in order to solve this difficult problem, a " quadratic residue algorithm of double - modulep, p ( x ) " is presented

    為了解決這一問題，本文推廣並證明了「重模p ， p銅的二次剩餘演算法」 ，從而使得這一步驟得到完善。
  5. Is the eth residue of p. since the number of quadratic residue mod p is, we can guess the number of eth residue mod p is 2 ^, and then prove this property. on the basis of eth residue, we construct a type of eth residue code of length p which is an odd prime, and extend some properties of quadratic residue codes. alsi ) we construct a cubic residue code over f % of length 31 and a 4th residue code over fs of length 13. according to the properties of the bounds of bch codes, we determine the minimal distance of [ 31, 21 ] code is 5, which means this code ; can correct two errors

    由模p的二次剩餘個數為個，可猜測模p的e次剩餘的個數為個，本文給出了該性質的證明。在e次剩餘的基礎上，本文構造了一類字長p為奇素數的e次剩餘碼，討論了它的性質，從而推廣了二次剩餘碼的一些結果。利用所導出的理論結果，我們構造了長為31的二元三次剩餘碼和長為13的三元四次剩餘碼，利用bch碼上下界的性質，進一步確定了31 ， 21碼的極小距離為5 ，它可以糾正兩個錯誤。
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