Secure Password Generator

Secure Password Generator is evaluated from Password Length, Include Lowercase and Include Uppercase. The calculation reports Character Pool Size, Password Entropy and Possible Combinations.

Results

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About the Secure Password Generator

Secure Password Generator is treated here as a quantitative relation between Password Length, Include Lowercase, Include Uppercase and Include Digits and Character Pool Size, Password Entropy, Possible Combinations and Estimated Crack Time.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Entropy measures randomness. More bits = harder to guess. Adding one character to a 94-char password adds ~6.6 bits. Doubling the password length doubles entropy (linear growth). For crack time, divide total combinations by 2 x guesses-per-second (expected to find on average halfway through search space).

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Entropy measures randomness. More bits = harder to guess. Adding one character to a 94-char password adds ~6.6 bits. Doubling the password length doubles entropy (linear growth). For crack time, divide total combinations by 2 x guesses-per-second (expected to find on average halfway through search space).

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Minimum secure password: 12 chars, all types

Inputs

length: 12 use_lowercase: 1 use_uppercase: 1 use_digits: 1 use_symbols: 1 attack_speed: 100
Character Pool Size: 94 chars. Password Entropy: 78.7 bits. Possible Combinations: 475,920,314,814,253,359,955,968. Estimated Crack Time: 75,456.67 years. Strength Rating: Strong. Recommendation: Good - suitable for most accounts

With Password Length = 12, Include Lowercase = 1, Include Uppercase = 1 and Include Digits = 1 as the stated inputs, the result is Character Pool Size = 94 chars, Password Entropy = 78.7 bits and Possible Combinations = 475,920,314,814,253,359,955,968. Each value corresponds to the declared output fields.

Example 2: High security: 20 chars, all character types

Inputs

length: 20 use_lowercase: 1 use_uppercase: 1 use_digits: 1 use_symbols: 1 attack_speed: 100
Character Pool Size: 94 chars. Password Entropy: 131.1 bits. Possible Combinations: 2,901,062,411,314,618,312,178,035,371,024,110,845,952. Estimated Crack Time: 459,960,427,973,525,241,856 years. Strength Rating: Extremely Strong. Recommendation: Excellent - suitable for high-security accounts

With Password Length = 20, Include Lowercase = 1, Include Uppercase = 1 and Include Digits = 1 as the stated inputs, the result is Character Pool Size = 94 chars, Password Entropy = 131.1 bits and Possible Combinations = 2,901,062,411,314,618,312,178,035,371,024,110,845,952. Each value corresponds to the declared output fields.

Example 3: PIN equivalent: 6 digits only

Inputs

length: 6 use_lowercase: 0 use_uppercase: 0 use_digits: 1 use_symbols: 0 attack_speed: 1
Character Pool Size: 10 chars. Password Entropy: 19.9 bits. Possible Combinations: 1,000,000. Estimated Crack Time: 0 years. Strength Rating: Very Weak. Recommendation: Unsafe - increase length and use all character types

With Password Length = 6, Include Lowercase = 0, Include Uppercase = 0 and Include Digits = 1 as the stated inputs, the result is Character Pool Size = 10 chars, Password Entropy = 19.9 bits and Possible Combinations = 1,000,000. Each value corresponds to the declared output fields.

Example 4: Passphrase with words treated as characters: 5 random words (avg 5 chars)

Inputs

length: 25 use_lowercase: 1 use_uppercase: 0 use_digits: 0 use_symbols: 0 attack_speed: 100
Character Pool Size: 26 chars. Password Entropy: 117.5 bits. Possible Combinations: 236,773,830,007,967,605,947,763,074,374,041,600. Estimated Crack Time: 37,540,244,483,759,448 years. Strength Rating: Very Strong. Recommendation: Excellent - suitable for high-security accounts

With Password Length = 25, Include Lowercase = 1, Include Uppercase = 0 and Include Digits = 0 as the stated inputs, the result is Character Pool Size = 26 chars, Password Entropy = 117.5 bits and Possible Combinations = 236,773,830,007,967,605,947,763,074,374,041,600. Each value corresponds to the declared output fields.

Common Use Cases

  • Generate a secure random password
  • Determine password entropy for a given length and character set
  • Calculate how strong a generated password would be