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[수체계] The ElGamal Cryptosystem & An Application to the splicing of telephone cables(영문)

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    [수체계] The ElGamal Cryptosystem & An Application to the splicing of telephone cables(영문)에 대한 자료입니다.
    목차
    The reason we select our subject

    Main result
    ElGamal Cryptosystem
    ElGamal Encryption scheme
    ElGamal Signature scheme
    Splicing of telephone cables

    Why our subject is important
    본문내용
    The reason we select our subject


    Application of the math

    How to protect data & transmit information safely
    in Elgamal cryptosystem

    Application of the telecommunication technology


    ElGamal Cryptosystem


    Public-key cryptosystem

    RSA cryptosystem z=pq (p, q: prime, secret key)
    ElGamal cryptosystem b=ra (a: secret key)

    Elgamal cryptosystem
    ElGamal Encryption scheme
    ElGamal Signature scheme




    ElGamal CryptosystemElGamal Encryption scheme


    User A
    [Key generation]

    • p: prime
    • r: primitive root
    • a: secret key [0, p-1]
    • b: b=ra (mod p)
    • (p, r, b) : public key


    User B
    [Encryption]

    • k: [0, p-2]
    • γ=rk (mod p)
    • δ=Pbk (mod p)
    P: plaintext
    • E(P)= (γ , δ)
    : ciphertext pair


    User A
    [Decryption]

    • D(C) = (γa) -1δ
    = (rka) -1Pbk
    = ((ra) -1 ) kPbk
    = ((b) -1 ) kPbk
    = ((b) -1 ) kbkP
    = P (mod p)

    #the#ElGamal#mod#of#in#to#key#공개#is