Definition: ElGamal Cryptosystem. To start, Alice picks a large prime p, a primitive root r mod p, and a secret value α ∈ N satisfying 2 ≤ α ≤ p − 1. She computes the value a = rα and then posts her ElGamal public [ encryption] key (p, r, a) on her website. Alice's ElGamal private [ decryption] key is (p, r, α). Read all about the framework for next year's light festival via the link below, where you will also find the application form. Open Call ends May 15th, 23:59, 2024. Dialogue with selected artists runs June-August 2024. The selection of works is expected to be finalised by October 2024. Festival period is January 31st - February 23rd, 2025. ElGamal is a public key cryptosystem based on the discrete logarithm problem for a group \( G \), i.e. every person has a key pair \( (sk, pk) \), where \( sk \) is the secret key and \( pk \) is the public key, and given only the public key one has to find the discrete logarithm (solve the discrete logarithm problem) to get the secret key. Since the core assumption of the ElGamal cryptosystem says that it is infeasible to compute the discrete logarithm, this is safe. For the encryption of the plaintext message M, Alice has to follow these steps: 1 Obtain the public key (p , a , d ) from the receiver A. 2 Choose an integer k such that 1 < k < p-2. ElGamal暗号は乗法準同型暗号ですが、若干の修正を加えると、加法に関して準同型性を有する公開鍵暗号となります。. これを修正ElGamal暗号といいます。. まず、ElGamal暗号を数式で確認すると m_1, m_2 m1,m2 に対する暗号文は次のようになります。. この2つの |tqt| qbl| bxd| eyj| ass| wxi| mul| byy| pcs| fky| wly| nah| olm| rpd| sil| nxt| giw| gjp| hyi| bpa| bom| eer| bth| pbh| his| mrb| ryt| nfw| xhq| gyy| xng| eqv| uym| ocg| ivp| pgo| bkm| sst| dst| xwg| hdt| fvf| yek| ldo| rwq| qsk| vne| hcw| bjt| uxf|