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Palindromic-Mnemonic-Tool.py
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# bip39 Valid Palindromic Mnemonic Generator Python App
'''
Author: Steven Hatzakis @ 2018
Version 1.9 beta
Description: A simplified python program for generating
valid bip39 palindromic mnemonics, using an initial random entropy via the
secrets module in Python for cryptographically secure entropy,
then revealing the entropy in its various formats including hex,
and as a bytearray before hashing to obtain the leading required
number of bits from the hash digest in order to compute the
checksum and complete the final word group. Palindromic mnemonics are also valid
when the order of the words are reversed.
Formula: Initial entropy in bits /32 = checksum length in bits
initial entropy mod 11 = remaining bits + checksum = last word
Initial entropy + checksum = total bits /11 = total words.
Example usage: 128 bits entropy, will require a 4 bit checksum,
for a total of 132 bits.
'''
import hashlib
import secrets
import binascii
def main():
palindromic = False
first_time_entropy = True
count_mnemonic = 0
word_count = ask_word_count()
checksum_bit_count = word_count // 3
total_bit_count = word_count * 11
generated_bit_count = total_bit_count - checksum_bit_count
entropy = ask_entropy(generated_bit_count)
while not palindromic:
if first_time_entropy:
first_time_entropy = False
else:
entropy = generate_entropy(generated_bit_count)
count_mnemonic += 1
print("\nMnemonic number " + str(count_mnemonic))
entropy_hash = get_hash(entropy)
indices,groups = pick_words(entropy, entropy_hash, checksum_bit_count)
print_words(indices)
# Palindromic phase
# get the last 4/8 bits of the first word in regular order
checksum_to_compare = groups[0][11-checksum_bit_count:]
print(checksum_to_compare, '<--- Last ' + str(checksum_bit_count) + ' bits of the first word to compare with checksum of mnemonic reverse order (hex to bits)')
print("Palindromic mnemonic phase")
groups_reverse = groups[::-1]
print(groups_reverse)
indices_reverse = indices[::-1]
print_words(indices_reverse)
join_groups = ''.join(groups_reverse)
print('Words reverse order = total bits:', join_groups)
words_reverse_order = join_groups[:-checksum_bit_count]
print('Words reverse order without last ' + str(checksum_bit_count) + ' bits = total bits:', words_reverse_order)
words_reverse_hash = get_hash(words_reverse_order)
checksum_char_count = checksum_bit_count // 4
bit = words_reverse_hash[0:checksum_char_count]
print(bit, '<--- Partial fragment of initial "byte" of hash') # print first part of hash used for bits
print((bit[0:checksum_char_count]), '<--- First n bits of hash to convert to hex') # print needed bits from
check_bit = int(bit, 16) # converts hex to binary
checksum_reverse = int_to_padded_binary(check_bit, checksum_bit_count)
print(checksum_reverse, '<--- Checksum reverse order (hex to bits)')
if(checksum_to_compare == checksum_reverse):
print(checksum_to_compare + " is equal to " + checksum_reverse + ". It is a palindromic mnemonic")
print("It has been found after " + str(count_mnemonic) + " mnemonics" )
palindromic = True
else:
print(checksum_to_compare + " is not equal to " + checksum_reverse + ". It is not a palindromic mnemonic")
def ask_word_count():
default_word_count = 12
input_string = 'Enter word count: (12 or 24, default: {0}): '.format(default_word_count)
while True:
word_count_string = input(input_string)
if len(word_count_string) == 0:
return default_word_count
word_count = int(word_count_string)
if word_count == 12 or word_count == 24:
return word_count
def ask_entropy(generated_bit_count):
generated_char_count = generated_bit_count // 4
input_string = 'Enter entropy in the form of padded hex string of length {0} (leave empty to generate): '.format(generated_char_count)
while True:
entropy_string = input(input_string)
entropy_len = len(entropy_string)
if entropy_len == 0:
return generate_entropy(generated_bit_count)
if entropy_len == generated_char_count + 2:
entropy_binary = int_to_padded_binary(int(entropy_string, 16), generated_bit_count)
return entropy_binary
def generate_entropy(generated_bit_count):
generated_char_count = generated_bit_count // 4
entropy = secrets.randbits(generated_bit_count) # generate bits
entropy_binary = int_to_padded_binary(entropy, generated_bit_count) # convert entropy to binary
print('Initial entropy:', entropy_binary) # print the entire string of bits to be used
print('Length of initial entropy:', len(entropy_binary)) # print the length of the string
entropy_hex = binary_to_padded_hex(entropy_binary, generated_char_count)
print('Initial entropy as hex:', entropy_hex) # print initial string as hexidecimal base 16
print('Length of entropy as hex:', len(entropy_hex)) # print length of hex string
return entropy_binary
def get_hash(entropy):
generated_bit_count = len(entropy)
generated_char_count = generated_bit_count // 4
print('gcc:', generated_char_count)
entropy_hex = binary_to_padded_hex(entropy, generated_char_count) # assign hex string to entropy_hex variable
entropy_hex_no_padding = entropy_hex[2:] # removing leading 0x hex pad
print('Entropy length as hex without 0x pad:', len(entropy_hex_no_padding)) # prints length without 0x pad
print('Initial entropy as hex without pad:', entropy_hex_no_padding) # print string without 0x pad
entropy_bytearray = bytearray.fromhex(entropy_hex_no_padding) # *convert no padded hex string to bytearray
print(entropy_bytearray, '<--- Entropy as bytes') # print array as bytes in bytearray()
print('Length of initial entropy as bytearray:', len(entropy_bytearray)) # print length of bytearray
bits = hashlib.sha256(entropy_bytearray).hexdigest() # *compute the sha256 hash of the bytearray as a hex digest
print(bits, '<--- SHA-256 hash digest of entropy bytes') # print the hash digest of the bytearray
return bits
def pick_words(entropy, entropy_hash, checksum_bit_count):
generated_bit_count = len(entropy)
generated_char_count = generated_bit_count // 4
entropy_hex = binary_to_padded_hex(entropy, generated_char_count) # assign hex string to entropy_hex variable
checksum_char_count = checksum_bit_count // 4
bit = entropy_hash[0:checksum_char_count] # *take first x bit of bits (x is not defined but be added to slice manually)
print(bit, '<--- Partial fragment of initial "byte" of hash') # print first part of hash used for bits
print((bit[0:checksum_char_count]), '<--- First n bits of hash to convert to hex') # print needed bits from
check_bit = int(bit, 16) # converts hex to binary
checksum = int_to_padded_binary(check_bit, checksum_bit_count)
print(checksum, '<--- Checksum (hex to bits)') # ensures length is checksum_bit_count so zero pad isn't dropped on small numbers
print('Initial entropy + checksum = total bits:', str(entropy) + str(checksum)) # convert entropy to binary string
print('Length of total bits:', len(str(entropy) + str(checksum))) # print length of total bits
source = str(entropy) + str(checksum) # adds checksum to end of string lengthening it deterministically.
groups = [source[i:i + 11] for i in range(0, len(source), 11)] # splits the total bits into groups of 11 bits at a time
print(groups) # final groups each representing a index value that corresponds to a word in the list.
print('Optional backup hex:', entropy_hex)
totalbits = hex(int(str('0b') + entropy + str(checksum), 2))
print('Optional backup hex with checksum:', totalbits)
print('Hash digest of initial entropy bytes:', entropy_hash)
# lookup = [source[i:i + 11] for i in range(0,len(source),11)]
indices = [int(str('0b') + source[i:i + 11], 2) for i in range(0, len(source), 11)] # (str('0b') for i in range(0,len(source),11))
# print(int(groups[:11],base=2))
print(indices)
# print(bip39wordlist([indices]))
return indices,groups
def print_words(indices):
# print(bip39wordlist)
# print(len(bip39wordlist))
# wordindexes=for i in indices
words = [bip39wordlist[indices[i]] for i in range(0, len(indices))]
word_string = ' '.join(words)
print(word_string)
def int_to_padded_binary(num, padding):
return bin(num)[2:].zfill(padding)
def binary_to_padded_hex(bin, padding):
num = int(bin, 2)
return '0x{0:0{1}x}'.format(num, padding)
bip39wordlist = [
"abandon",
"ability",
"able",
"about",
"above",
"absent",
"absorb",
"abstract",
"absurd",
"abuse",
"access",
"accident",
"account",
"accuse",
"achieve",
"acid",
"acoustic",
"acquire",
"across",
"act",
"action",
"actor",
"actress",
"actual",
"adapt",
"add",
"addict",
"address",
"adjust",
"admit",
"adult",
"advance",
"advice",
"aerobic",
"affair",
"afford",
"afraid",
"again",
"age",
"agent",
"agree",
"ahead",
"aim",
"air",
"airport",
"aisle",
"alarm",
"album",
"alcohol",
"alert",
"alien",
"all",
"alley",
"allow",
"almost",
"alone",
"alpha",
"already",
"also",
"alter",
"always",
"amateur",
"amazing",
"among",
"amount",
"amused",
"analyst",
"anchor",
"ancient",
"anger",
"angle",
"angry",
"animal",
"ankle",
"announce",
"annual",
"another",
"answer",
"antenna",
"antique",
"anxiety",
"any",
"apart",
"apology",
"appear",
"apple",
"approve",
"april",
"arch",
"arctic",
"area",
"arena",
"argue",
"arm",
"armed",
"armor",
"army",
"around",
"arrange",
"arrest",
"arrive",
"arrow",
"art",
"artefact",
"artist",
"artwork",
"ask",
"aspect",
"assault",
"asset",
"assist",
"assume",
"asthma",
"athlete",
"atom",
"attack",
"attend",
"attitude",
"attract",
"auction",
"audit",
"august",
"aunt",
"author",
"auto",
"autumn",
"average",
"avocado",
"avoid",
"awake",
"aware",
"away",
"awesome",
"awful",
"awkward",
"axis",
"baby",
"bachelor",
"bacon",
"badge",
"bag",
"balance",
"balcony",
"ball",
"bamboo",
"banana",
"banner",
"bar",
"barely",
"bargain",
"barrel",
"base",
"basic",
"basket",
"battle",
"beach",
"bean",
"beauty",
"because",
"become",
"beef",
"before",
"begin",
"behave",
"behind",
"believe",
"below",
"belt",
"bench",
"benefit",
"best",
"betray",
"better",
"between",
"beyond",
"bicycle",
"bid",
"bike",
"bind",
"biology",
"bird",
"birth",
"bitter",
"black",
"blade",
"blame",
"blanket",
"blast",
"bleak",
"bless",
"blind",
"blood",
"blossom",
"blouse",
"blue",
"blur",
"blush",
"board",
"boat",
"body",
"boil",
"bomb",
"bone",
"bonus",
"book",
"boost",
"border",
"boring",
"borrow",
"boss",
"bottom",
"bounce",
"box",
"boy",
"bracket",
"brain",
"brand",
"brass",
"brave",
"bread",
"breeze",
"brick",
"bridge",
"brief",
"bright",
"bring",
"brisk",
"broccoli",
"broken",
"bronze",
"broom",
"brother",
"brown",
"brush",
"bubble",
"buddy",
"budget",
"buffalo",
"build",
"bulb",
"bulk",
"bullet",
"bundle",
"bunker",
"burden",
"burger",
"burst",
"bus",
"business",
"busy",
"butter",
"buyer",
"buzz",
"cabbage",
"cabin",
"cable",
"cactus",
"cage",
"cake",
"call",
"calm",
"camera",
"camp",
"can",
"canal",
"cancel",
"candy",
"cannon",
"canoe",
"canvas",
"canyon",
"capable",
"capital",
"captain",
"car",
"carbon",
"card",
"cargo",
"carpet",
"carry",
"cart",
"case",
"cash",
"casino",
"castle",
"casual",
"cat",
"catalog",
"catch",
"category",
"cattle",
"caught",
"cause",
"caution",
"cave",
"ceiling",
"celery",
"cement",
"census",
"century",
"cereal",
"certain",
"chair",
"chalk",
"champion",
"change",
"chaos",
"chapter",
"charge",
"chase",
"chat",
"cheap",
"check",
"cheese",
"chef",
"cherry",
"chest",
"chicken",
"chief",
"child",
"chimney",
"choice",
"choose",
"chronic",
"chuckle",
"chunk",
"churn",
"cigar",
"cinnamon",
"circle",
"citizen",
"city",
"civil",
"claim",
"clap",
"clarify",
"claw",
"clay",
"clean",
"clerk",
"clever",
"click",
"client",
"cliff",
"climb",
"clinic",
"clip",
"clock",
"clog",
"close",
"cloth",
"cloud",
"clown",
"club",
"clump",
"cluster",
"clutch",
"coach",
"coast",
"coconut",
"code",
"coffee",
"coil",
"coin",
"collect",
"color",
"column",
"combine",
"come",
"comfort",
"comic",
"common",
"company",
"concert",
"conduct",
"confirm",
"congress",
"connect",
"consider",
"control",
"convince",
"cook",
"cool",
"copper",
"copy",
"coral",
"core",
"corn",
"correct",
"cost",
"cotton",
"couch",
"country",
"couple",
"course",
"cousin",
"cover",
"coyote",
"crack",
"cradle",
"craft",
"cram",
"crane",
"crash",
"crater",
"crawl",
"crazy",
"cream",
"credit",
"creek",
"crew",
"cricket",
"crime",
"crisp",
"critic",
"crop",
"cross",
"crouch",
"crowd",
"crucial",
"cruel",
"cruise",
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"cry",
"crystal",
"cube",
"culture",
"cup",
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"curious",
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"cushion",
"custom",
"cute",
"cycle",
"dad",
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"dance",
"danger",
"daring",
"dash",
"daughter",
"dawn",
"day",
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"december",
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"depth",
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"device",
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"dial",
"diamond",
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"dice",
"diesel",
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"digital",
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"dilemma",
"dinner",
"dinosaur",
"direct",
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"disorder",
"display",
"distance",
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"divide",
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"dizzy",
"doctor",
"document",
"dog",
"doll",
"dolphin",
"domain",
"donate",
"donkey",
"donor",
"door",
"dose",
"double",
"dove",
"draft",
"dragon",
"drama",
"drastic",
"draw",
"dream",
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"drill",
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"drive",
"drop",
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"dry",
"duck",
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"during",
"dust",
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"duty",
"dwarf",
"dynamic",
"eager",
"eagle",
"early",
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"earth",
"easily",
"east",
"easy",
"echo",
"ecology",
"economy",
"edge",
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"educate",
"effort",
"egg",
"eight",
"either",
"elbow",
"elder",
"electric",
"elegant",
"element",
"elephant",
"elevator",
"elite",
"else",
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"entire",
"entry",
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"episode",
"equal",
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"era",
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"essay",
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"eye",
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"fabric",
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"father",
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"february",
"federal",
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"foot",
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"forest",
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"fox",
"fragile",
"frame",
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"fresh",
"friend",
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"frog",
"front",
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"fruit",
"fuel",
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"funny",
"furnace",
"fury",
"future",
"gadget",
"gain",
"galaxy",
"gallery",
"game",
"gap",
"garage",
"garbage",
"garden",
"garlic",
"garment",
"gas",
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"gate",
"gather",
"gauge",
"gaze",
"general",
"genius",
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"gentle",
"genuine",
"gesture",
"ghost",
"giant",
"gift",
"giggle",
"ginger",
"giraffe",
"girl",
"give",
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"glare",
"glass",
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"globe",
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"glue",
"goat",
"goddess",
"gold",
"good",
"goose",
"gorilla",
"gospel",
"gossip",
"govern",
"gown",