Quote from: jacky19790729 on June 24, 2024, 10:21:41 AM

I have been learning about ECDSA ( r s z, public key ,private key ) for about 2 months

# 130 Although only one rsz is know , but 1000 rsz can be produced using the public key, the nonce K value will be 240~256 bits

50% - nonce is 256 bit
25% - nonce is 254 bit
25% - nonce is 253~240 bit

However, more than 64 rsz must be leaked at the same time to leak more than 12 bits to use lattice-attack

# 130 Public Key
0x8629507d9eef1748ec67ca2c4ab641fa0951d7f0bb0cf226f1c0f465a4e29404, 0x2237204a53021490adfec9f0b3f0732f5024181d50fde2dcfc7a428c992b8d70

create #130 rsz

Code:

# 130 rsz 1
r=0x56a37728d3036203ba57a2399ba282351b55e7b7a2660080a510732f373f18f8
s=0x6bf0c1501792f3184866f56a82b69ad17cb169105ed85350ca30f3e2070e032e
z=0x0042fe8868fbfa3d16b603af849bb81a35d6292651ab36a23af4c427d4265bf9

# 130 rsz 2
r=0x84812aade108ee63f12098f31e0819b36fcd4a4433fdbd29dbc8d94082e1a822
s=0xa7da5a2552d02a4551a23381fe4bcca9f1108d66cb0137712d9325d2a1fe4b4a
z=0x50825e90bcae246a62602d3719d895da1108545b3c09527ed1dbf599034cf0a2

# 130 rsz 3
r=0x1567a88d2dc54158afc135433f5bd7cb673a73ecd978626504fa7a972fc88eb0
s=0x0340b27310b89895c166c839b5a27fd6de1a271a8765de608c07e96539827850
z=0x503f919c88920407436211529abf8f8d2459d8aec963181dbaf822e20f162d0e

# 130 rsz 4
r=0x3facca914bf602c454b2e1332e4bd9db3482cdc648bc9f79328fed36de7babca
s=0xfe9797f9323c74e8b5d91937c4ea704f0a73e3aae536d8f051e7c77214a4a5a9
z=0xdde32a1d171f66168bc88211c5bbd1f0de2bc8aa504b70af8591f7619b6a3632

# 130 rsz 5
r=0x63444d8aa42965428ea68fa74976fe38772ba59e6e1b4f8682e6f6178ee4c1e9
s=0x33f53e75c58b289d094932407c4f1eac3156a0029c9a33f257485a0c3b5b497d
z=0xfe4573a2009e9f7985f8f366949757f001aaccc81da635ea3868c1d70b9a2e04

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would you mind sharing your code on how you leak the RSZ and how you create more sample for the given public key. thank you