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authorDennis Brentjes <d.brentjes@gmail.com>2017-05-29 21:18:28 +0200
committerDennis Brentjes <d.brentjes@gmail.com>2017-05-29 21:18:28 +0200
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\newcommand{\mg}[0]{\emph{mg}\xspace}
-In this section \ec and \mg will refer to the 2 different implementations that we compare. They stand for elliptic curve and multiplicative groups.
+In this section \ec and \mg will refer to the 2 different implementations that we compare. They stand for elliptic curve and multiplicative group.
So lets first talk about what our expectations are. The size of the messages being sent are different. The ed25519 implementation can send messages up to $31$ bytes. The 2048 bit multiplicative group can send up to $255$ bytes of data. This implementation uses a prefix to the message data that is the destination id. This takes up $20$ bytes of each message, as it is the SHA1 hash of the public key of the receiver. this means that the ed25519 implementation only sends $11$ bytes of payload versus $235$ bytes of payload for the multiplicative group implementation.