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(310) (311) LS(T) ≡ where ETHEREUM: A SECURE DECENTRALISED GENERALISED TRANSACTION LEDGER BERLIN VERSION 26 The message hash, h(T), to be signed is the Keccak hash of the transaction. Two different flavors of signing schemes are available. One operates without the latter three signature components, formally described as Tr, Ts and Tw. The other operates on nine elements: (Tn, Tp, Tg, Tt, Tv, p) (Tn, Tp, Tg, Tt, Tv, p, β, (), ()) Ti if Tt = 0 Td otherwise The signed transaction G(T,pr) is defined as: if v ∈ {27, 28} otherwise (312) (313) Reiterating from previously: (314) (315) G(T,pr) ≡ T (Tw,Tr,Ts) = ECDSASIGN(h(T),pr) Tr = r Ts = s p≡ h(T ) ≡ KEC(LS (T )) Tw is either the recovery identifier or ‘chain identifier β doubled plus 35 or 36’. In the second case, where v is the chain identifier β doubled plus 35 or 36, the values 35 and 36 assume the role of the ‘recovery identifier’ by specifying the parity of y, with the value 35 representing an even value and 36 representing an odd value. We may then define the sender function S of the transaction as: (316) S (T ) ≡ B96..255 KECECDSARECOVER(h(T ), v0 , Tr , Ts ) (317) v0 ≡ Tw if Tw ∈ {27, 28} 28 − (Tw mod 2) otherwise The assertion that the sender of a signed transaction equals the address of the signer should be self-evident: (318) ∀T : ∀pr : S(G(T, pr)) ≡ A(pr) except:PDF Image | ETHEREUM: A SECURE DECENTRALISED GENERALISED TRANSACTION
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