e_gen | 2307

Entropy machine | SHA | XOR

random:
Entropy: 0

entropy_hex:
 (..)
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-> visual test2.

SHA256 > 128 L/R

SHA-256 Hash / hex_entropy:
/alt input

Note

XOR

IV (hex):
Data (hex):
Key (hex)&MASK32: Andreas | TREZOR | ... | ZER0 | FFF |

~ (a ⊕ b) ⊕ c = a ⊕ (b ⊕ c)

XOR of two independent and uniformly distributed random numbers remains random.

XOR of two poor quality pseudo-random numbers may or may not improve the resulting entropy. When the two numbers have some correlated bits or structured patterns, the result may have similar patterns.

The resulting entropy should be at least as good as the entropy of the better of the two original numbers. (An XOR operation can mask the shortcomings of one of the numbers if the other number has a high entropy.)

Random sequence generation (1/0) 128/256/512...

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Sequential/automatic roll of five dice (HEX|histagram)

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Deterministic "constants" from fractional parts of square (or third) roots

decimal_part(prime ** (1/root)) | int(decimal_part * (2 ** 32)) : 32bits max. | f(p1²) or f(p1³)

Stochastic behaviour of a deterministic system f(x_n+1) = 4*x_n*(1-x_n)

for the initial condition:

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Linear congruential (modulo) generator X_n+1 = (a*X_n + c) mod m

X(0)
a parameter a
c parameter c
m modulo m
n number of iterations
for the initial condition X(0)

Simple ASCII to Hexadecimal Dump | Remove diacritics

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sha(agama) | agama_py: hash_sha256_str("agama")
52589fac98630c603bd5c2b08cb0f6ccf273cc4a4772f0ff28d49a01bc7d2f4b
L: 52589fac98630c603bd5c2b08cb0f6cc
R: f273cc4a4772f0ff28d49a01bc7d2f4b

LS: false shaft twenty ... grain diet occur
LXR: a02b53e6df11fc9f130158b130cdd987
XS: parent fold whale ... major island autumn

sha(AgamaPoint)
6cfdf76d0f2112db138c801825051e99efc8e7affc532fce4a088ad19844418e
L: 6cfdf76d0f2112db138c801825051e99
R: efc8e7affc532fce4a088ad19844418e

LS: hollow use swap ... choice element critic

dde class: deterministic or discredited entropy | "low" entropy
dde.A = e(andreas) =
0c1e24e5917779d297e14d45f14e1a1a

XOR = (+) | ⊕
left(sha(agama)) (+) dde.A =
5e46bb49091475b2ac348ff57dfeecd6

e(fractional(sqrt~2([primes])..)...)
6a09e667bb67ae853c6ef372a54ff53a = dde.F2
510e527f9b05688c1f83d9ab5be0cd19
cbbb9d5d629a292a9159015a152fecd8
...
e(fractional(cbrt~3([primes])..)
428a2f9871374491b5c0fbcfe9b5dba5 = dde.F3
3956c25b59f111f1923f82a4ab1c5ed5
d807aa9812835b01243185be550c7dc3
...

8080...
letter 1028 |advice 32 |cage 257 |absurd 8 |amount 64 |doctor 514 |
acoustic 16 |avoid 128 |letter 1028 |advice 32 |cage 257 |above....
low_ent

dde.T | e(trezor) =
752f85035563adff915ac0c3ae1252ed

...r(s(yenda)) (+) dde.T =
41abbe611bc73d06baaae964ecaf3fe2

double fuel obscure ... grace soup shift

PoW
sha(Agama Point 2664516175) = 000000000233ed5eee2d7356789509b04887f318030d0d259c40e4d71e01965c
for "hashrate" 9 nonce = 2664516175

HMAC hash-based message authentication code
~HMAC-SHA1 / ...
MAC=sha(msg+s) | s: pub_key / shared sec.
MACa ?is_eq? MACb
s=2664516175 / "AP PoW nonce (~9z)" ...

hex2ascii("kobyla ma maly bok") &MASK32 =
6B6F62796C61206D61206D616C792062
(hex2ascii("kobyla...") &MASK32) (+) dde.A =
6771469cfd1659bff6c120249d373a78

bitcoin | visual bin_edit
02200f530b0e51035507570b07430022
AXT: 7b11aeb5cf1a852e53bcda8d581f48d5

HEX_DUMP | BASE64:
WE9SIG9mIHR3byBpbmRlcGVuZGVudCBhbmQgdW5pZm9ybWx5IGRpc3RyaWJ1dGVkIHJhbmRvbSBudW1iZXJzIHJlbWFpbnMgcmFuZG9tLg==
XOR of two independent and uniformly distributed random numbers remains random.

most Linux distributions: the pseudo device file /dev/random will block until sufficient entropy is harvested from the environment!

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Links