PDF Publication Title:
Text from PDF Page: 022
ETHEREUM: A SECURE DECENTRALISED GENERALISED TRANSACTION LEDGER BERLIN VERSION 22 (215) (216) (217) (218) (219) (220) (221) SHA2-256 of the form: (222) SHA256(i ∈ B) ≡ o ∈ B32 (223) RIPEMD160(i ∈ B) ≡ o ∈ B20 The fourth contract, the identity function ΞID simply defines the output as the input: ΞSHA256 gr o[0..31] ΞRIP160 gr 32 = SHA256(Id ) ≡ ΞPRE where: = 60 + 12∥Id∥ ≡ ΞPRE where: = 600 + 120∥Id∥ 32 =0 = RIPEMD160(Id ) For the purposes here, we assume we have well-defined standard cryptographic functions for RIPEMD-160 and o[0..11] o[12..31] ΞID ≡ ΞPRE where: gr = 15+3∥Id∥ 32 o = Id The fifth contract performs arbitrary-precision exponentiation under modulo. Here, 00 is taken to be one, and x mod 0 is zero for all x. The first word in the input specifies the number of bytes that the first non-negative integer B occupies. The second word in the input specifies the number of bytes that the second non-negative integer E occupies. The third word in the input specifies the number of bytes that the third non-negative integer M occupies. These three words are followed by B, E and M. The rest of the input is discarded. Whenever the input is too short, the missing bytes are considered to be zero. The output is encoded big-endian into the same format as M’s. (224) (225) (226) (227) (228) (229) (230) ΞEXPMOD ≡ gr= Gquaddivisor ≡ f(x) ≡ ΞPRE except: fmax(lM,lB)max(l′E,1) max 200, 3 x2 8 0 ⌊log (E)⌋ Gquaddivisor (231) l′E (232) o (233) lB (234) lE (235) lM (236) B (237) E (238) M = = ≡ ≡ ≡ ≡ ≡ ≡ 2 8(lE − 32) + ⌊log2(i[(96 + lB)..(127 + lB)])⌋ if lE ≤ 32 ∧ E = 0 iflE ≤32∧E̸=0 if 32 < lE ∧ i[(96 + lB)..(127 + lB)] ̸= 0 otherwise (239) i[x] ≡ 8(lE − 32) BE mod M ∈ N8lM i[0..31] i[32..63] i[64..95] i[96..(95 + lB )] i[(96 + lB)..(95 + lB + lE)] i[(96+lB +lE)..(95+lB +lE +lM)] Id[x] if x < ∥Id∥ 0 otherwise E.1. zkSNARK Related Precompiled Contracts. We choose two numbers, both of which are prime. (240) p ≡ 21888242871839275222246405745257275088696311157297823662689037894645226208583 (241) q ≡ 21888242871839275222246405745257275088548364400416034343698204186575808495617 Since p is a prime number, {0, 1, . . . , p − 1} forms a field with addition and multiplication modulo p. We call this field Fp. We define a set C1 with (242) C1 ≡ {(X,Y) ∈ Fp ×Fp | Y2 = X3 +3}∪{(0,0)}PDF Image | ETHEREUM: A SECURE DECENTRALISED GENERALISED TRANSACTION
PDF Search Title:
ETHEREUM: A SECURE DECENTRALISED GENERALISED TRANSACTIONOriginal File Name Searched:
ethereum-transaction-ledger.pdfDIY PDF Search: Google It | Yahoo | Bing
NFT (Non Fungible Token): Buy our tech, design, development or system NFT and become part of our tech NFT network... More Info
IT XR Project Redstone NFT Available for Sale: NFT for high tech turbine design with one part 3D printed counter-rotating energy turbine. Be part of the future with this NFT. Can be bought and sold but only one design NFT exists. Royalties go to the developer (Infinity) to keep enhancing design and applications... More Info
Infinity Turbine IT XR Project Redstone Design: NFT for sale... NFT for high tech turbine design with one part 3D printed counter-rotating energy turbine. Includes all rights to this turbine design, including license for Fluid Handling Block I and II for the turbine assembly and housing. The NFT includes the blueprints (cad/cam), revenue streams, and all future development of the IT XR Project Redstone... More Info
Infinity Turbine ROT Radial Outflow Turbine 24 Design and Worldwide Rights: NFT for sale... NFT for the ROT 24 energy turbine. Be part of the future with this NFT. This design can be bought and sold but only one design NFT exists. You may manufacture the unit, or get the revenues from its sale from Infinity Turbine. Royalties go to the developer (Infinity) to keep enhancing design and applications... More Info
Infinity Supercritical CO2 10 Liter Extractor Design and Worldwide Rights: The Infinity Supercritical 10L CO2 extractor is for botanical oil extraction, which is rich in terpenes and can produce shelf ready full spectrum oil. With over 5 years of development, this industry leader mature extractor machine has been sold since 2015 and is part of many profitable businesses. The process can also be used for electrowinning, e-waste recycling, and lithium battery recycling, gold mining electronic wastes, precious metals. CO2 can also be used in a reverse fuel cell with nafion to make a gas-to-liquids fuel, such as methanol, ethanol and butanol or ethylene. Supercritical CO2 has also been used for treating nafion to make it more effective catalyst. This NFT is for the purchase of worldwide rights which includes the design. More Info
NFT (Non Fungible Token): Buy our tech, design, development or system NFT and become part of our tech NFT network... More Info
Infinity Turbine Products: Special for this month, any plans are $10,000 for complete Cad/Cam blueprints. License is for one build. Try before you buy a production license. May pay by Bitcoin or other Crypto. Products Page... More Info
| CONTACT TEL: 608-238-6001 Email: greg@infinityturbine.com | RSS | AMP |