Base2 is called binary, Base10 is what humans know best, and base64 is traditionally the highest computers go. But zchg.org is changing all of that.
Over the next few days we will introduce you to ‘baseZ,’ our open source repository which expands upon baseX to create some exciting and simple new code.
“Come with me, and you’ll be, in a world of pure imagination…”*
#Building upon the preceding, This code takes into account the position and frequency of characters in the input string by counting the frequency and position of characters in the input string, and then sorting them based on their frequency and position. This allows to generate the optimal alphabet and optimal baseX, alphabet multiplier, and baseX multiplier.
#it
This is a script that encodes and decodes strings using a custom base-X representation. The script includes functions for encoding and decoding using an alphabet, a multiplier for the alphabet, and a multiplier for the base-X representation. It also includes a fitness function that calculates the difference in length and entropy between the original string and the encoded string. The script also includes a function called get_optimal_baseX that finds the optimal values for alphabet, baseX, alphabet multiplier, and baseX multiplier based on the input string and returns the encoded string along with a unique code that represents the values used for encoding.
This script is a lossless data compression algorithm that uses a genetic algorithm and entropy calculations to optimize the encoding of a given input string. It can be used to compress data in situations where the size of the data needs to be reduced but the integrity of the original data needs to be maintained, such as in file compression, data storage, or transmission of data over a network.
This script is designed to reduce the length of a given input string by encoding it using a custom alphabet and some encoding parameters such as alphabet_multiplier, baseX_multiplier, and baseX. The script uses a genetic algorithm to find the optimal encoding parameters that result in the shortest encoded string while maintaining the reversibility of the encoding.
This script is more useful for larger strings, as the more data that is encoded, the more potential there is to achieve a significant reduction in the encoded
string’s length. It may not be as useful for smaller strings as the reduction in length may be minimal.
What is the likely compression of a string of 30,000,000 characters expressed as a %?
It is likely that the compression would be significant, potentially resulting in a reduction of output size by several orders of magnitude.
This only scratches the surface of what zchg.org has been working on, these files are being pulled from our archive…
This is an implementation of a custom base encoding algorithm, which allows for the encoding and decoding of text strings using a custom alphabet and base size. The encoding and decoding functions use the standard library string module to define the alphabet, which consists of all uppercase and lowercase letters, digits and punctuation characters. The alphabet size is set to 1052672 characters, but can be modified through the function arguments. The base size is set to 256, but can also be modified through the function arguments. The encoding function takes an input string and converts each character to its corresponding index in the alphabet. It then takes the resulting number and encodes it using the specified base size. The decoding function takes an encoded string and converts it back to the original number by reversing the process of the encoding function. The optimize_baseX function is used to optimize the size of the encoded string by searching for the best combination of alphabet size, base size, alphabet multiplier, and base multiplier. It does this by iterating through all possible combinations and encoding the input string with each one. The encoded string with the smallest length is then chosen as the optimal combination. The function also includes a check for the input string size, and adjusts the alphabet and base size accordingly. If the input string size is smaller than 100, the alphabet and base size are decreased by 50%, and if the input string size is larger than 1000, the alphabet and base size are increased by 50%.
Euler’s Formula is a mathematical formula in complex analysis and number theory, named after the Swiss mathematician Leonhard Euler. Euler’s formula states that:
e^(ix) = cos(x) + isin(x)
where e is the base of the natural logarithm (approximately 2.718), x is any real number, i is the imaginary unit (the square root of -1), cos(x) is the cosine of x, and sin(x) is the sine of x.
This formula relates five of the most important mathematical constants: e, pi, -1, 0 and 1, and connects two of the most important mathematical functions: exponential and trigonometric functions. Euler’s formula is widely used in many areas of mathematics, physics, engineering and other fields, including signal processing, control theory, and quantum mechanics.
This code defines three functions, encode_baseX, decode_baseX, and optimize_baseX, which are used to perform a type of base conversion on strings of characters. The functions use the string and cmath modules to accomplish this.
The encode_baseX function takes an input string and several optional parameters: alphabet_size, base_size, alphabet_multiplier, and base_multiplier. It first defines an alphabet of characters to use, which is a combination of ASCII letters, digits, and punctuation. It then initializes an empty encoded string and a number to zero. The function iterates through each character in the input string, using the exp function from the cmath module to convert the index of the character in the alphabet to a complex number, and adding the result to the number. Next, the function enters a loop that continues until the number is greater than zero. In each iteration of the loop, the function uses the real attribute of the number, the length of the alphabet, and modulo arithmetic to find the next character of the encoded string, which is added to the front of the encoded string. Finally, the function returns the encoded string.
The decode_baseX function takes an input string and first calls the optimize_baseX function to determine the best values for the alphabet_size, base_size, alphabet_multiplier, and base_multiplier parameters. It then defines the alphabet of characters to use in the same way as the encode_baseX function. The function initializes an empty decoded string and a number to zero. It then iterates through each character in the input string, using the exp function and the cmath module in the same way as the encode_baseX function to convert the character to a complex number, and adding the result to the number. The function then enters a loop that continues until the number is greater than zero. In each iteration of the loop, the function uses the real attribute of the number, the length of the alphabet, and modulo arithmetic to find the next character of the decoded string, which is added to the front of the decoded string. Finally, the function returns the decoded string.
The optimize_baseX function takes an input string and four variables best_size, best_alphabet_size, best_base_size, best_alphabet_multiplier, best_base_multiplier initialized with infinities. It then runs several nested for loops to test different values for alphabet_size, base_size, alphabet_multiplier, and base_multiplier by calling encode_baseX function and checks the length of the encoded string. If the length of the encoded string is less than the best_size, the function updates the best values for the four variables. Finally, it returns the best values for the four variables.
This code may be used in a variety of applications where it is necessary to encode or decode data in a specific way. Some examples include:
Encryption/Decryption: The encode_baseX and decode_baseX functions could be used to encrypt and decrypt sensitive information by converting it to a custom base.
Data Compression: The encode_baseX function could be used to compress data by converting it to a more compact representation in a custom base.
Data Obfuscation: The encode_baseX function could be used to obscure data by converting it to a form that is difficult for humans to understand, making it more difficult to reverse-engineer.
Steganography: The encode_baseX function could be used to hide data within other data by embedding it in a custom base representation that is not obvious to the casual observer.
The encode_baseX function in this code can be used to convert a string of characters to a different representation in a custom base, which may result in a more compact representation of the data. However, it is not a standard compression algorithm and the resulting encoded string may not be smaller than the original string in all cases.
The optimize_baseX function which is used to determine the best parameters for alphabet_size, base_size, alphabet_multiplier and base_multiplier, and the code checks the length of the encoded string to get the best optimized values. But this doesn’t guarantees that the encoded string will be always smaller than the original string.
It is important to note that this code does not include a compression layer which would utilize traditional compression technique to analyze and remove repeating patterns at the end of several passes. Adding a traditional compression algorithm as a layer to this algorithm itself would prove to be useful.
ENCRYPTION NONCE FOR BASEZ:
This code is a implementation of Base-X Hybrid Encoding and Decoding, it defines two functions encode_baseX_hybrid_v3() and decode_baseX_hybrid_v3() that takes in a input string , base, alphabet, and optional seed and algorithm, it converts the input string to number and then encodes it using the provided alphabet and XOR operation with a randomly generated key . The other function decode_baseX_hybrid_v3() takes the encoded string, base, alphabet, and optional seed and algorithm, it extracts the random key from the encoded string and then decodes the input string using the provided alphabet and XOR operation with the random key.
This code defines two functions, encode_baseX_hybrid_v3() and decode_baseX_hybrid_v3(), that perform base-X hybrid encoding and decoding respectively. The functions also use a random number generator, generate_random_number(), that uses the hashlib and os libraries.
The encode_baseX_hybrid_v3() function takes in a string input_string, an integer base, a string alphabet, and an optional seed and algorithm for the random number generator. The function converts the input string to a number using the ord() function and a XOR operation with a randomly generated key. It then encodes the number in base-X using the provided alphabet and returns the encoded string.
The decode_baseX_hybrid_v3() function takes in an encoded string, an integer base, a string alphabet, and an optional seed and algorithm for the random number generator. The function extracts the random key from the encoded string, decodes the input string in base-X using the provided alphabet and XOR operation with the random key. It returns the decoded string.
This code could be used for a few different purposes depending on the specific implementation. The Base-X Hybrid Encoding and Decoding technique is generally used to encode data in a way that is more compact than traditional base-X encoding, while also adding an additional layer of security by using the XOR operation with a randomly generated key.
Some possible uses for this code include:
Encrypting data that needs to be transmitted or stored in a compact format (e.g. passwords, authentication tokens, etc.)
Encoding data that needs to be encoded in a format that is not easily reversible (e.g. for use in URL shorteners, QR codes, etc.)
Encoding data that needs to be stored in a format that is not easily reversible and also adding an additional layer of security (e.g. for use in storing sensitive data such as credit card numbers, etc.)
It’s worth noting that this code is a general implementation of the Base-X Hybrid Encoding and Decoding technique, it could have some limitations or vulnerabilities depending on the specific use case and the algorithm used to generate the random number.
