Integrated Encryption Scheme

To send an encrypted message to Bob using ECIES Alice needs the following information: cryptographic suite to be used: --- KDF , e.g., ''ANSI-X9.63-KDF with SHA-1 option''; --- MAC , e.g., ''HMAC-SHA-1-160 with 160-bit keys'' or ''HMAC-SHA-1-80 with 160-bit keys''; --- Symmetric Encryption Scheme $E$ , e.g., ''3-key TDES in CBC mode'' or ''XOR encryption scheme''; EC domain parameters: $(p,a,b,G,n,h)$ for a curve over prime field or $(m,f(x),a,b,G,n,h)$ for a curve over binary field; Bob's public key: $K_B$ (Bob generates it as follows: $K_B = k_B G$ , where k_B is the private key he chooses at random: $k_B \in n-1$ ); optional shared information: $S_1$ and $S_2$ . To encrypt a message $m$ Alice does the following: # generates a random number $r \in n-1$ and calculates $R = r G$ ; # derives a shared secret: $S = P_x$ , where $P = (P_x, P_y) = r K_B$ (and $P e O$ );
	# Computes The Tag Of Encrypted Message And <math>S 2</math>: <math>d	extrm{MAC}(k_M c \ S_2)</math>
	# Derives Keys The Same Way As Alice Did: <math>k E \ K M	extrm{KDF}(S\S_1)</math>

	CATEGORIES ABOUT INTEGRATED ENCRYPTION SCHEME

	asymmetric-key cryptosystems

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