The Fibonacci code is a type of prefix code used in data compression and other applications, where the lengths of the codewords are based on the Fibonacci sequence. In this code, the length of each codeword corresponds to the Fibonacci numbers, ensuring that no codeword is a prefix of another, which is essential for efficient decoding. The Fibonacci code is particularly useful in scenarios where the data to be encoded has a specific distribution, such as in the encoding of integers or certain types of symbolic data. The code is named after the Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones, often starting with 0 and 1. In Hebrew, the Fibonacci code can be translated as קוד פיבונאצי. Other relevant translations include Código de Fibonacci in Spanish and Code de Fibonacci in French. The Fibonacci code is a variant of the more general class of Golomb codes, which are optimal for certain types of data distributions. It is often used in conjunction with other coding techniques to achieve efficient data compression.
Universal code which encodes positive integers into binary code words
In mathematics and computing, Fibonacci coding is a universal code which encodes positive integers into binary code words. It is one example of representations of integers based on Fibonacci numbers. Each code word ends with "11" and contains no other instances of "11" before the end.