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rabin公開金鑰密碼系統(tǒng)-展示頁

2025-03-05 21:38本頁面
  

【正文】 = D(C)= b/2 ? (mod q) 函數(shù) D所解得的明文,會有下列四種情況: 2 (a) If (b/2)2+C? 0 (mod p), then (3) has two roots Mp1? b/2 + (mod p) Mp2? b/2 (mod p) (b) If (b/2)2+C ? 0 (mod p), then (3) has one root Mp ? b/2 (mod p) 3 (c) If (b/2)2+C? 0 (mod q), then (4) has two roots Mq1? b/2 + (mod q) Mq2? b/2 (mod q) (b) If (b/2)2+C ? 0 (mod q), then (4) has one root Mq ? b/2 (mod q) 4 四種情況分別如下: (1) If (b/2)2+C? 0 (mod p) and If (b/2)2+C? 0 (mod q) M ? Mp1 (mod p) M ? Mq1 (mod q) M ? Mp2 (mod p) M ? Mq1 (mod q) M ? Mp1 (mod p) M ? Mq2 (mod q) M ? Mp2 (mod p) M ? Mq2 (mod q) M? M1(1) (mod n) M? M2(1) (mod n) M? M3(1) (mod n) M? M4(1) (mod n) 5 (2) If (b/2)2+C ? 0 (mod p) and If (
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