Elements of information theory
Elements of information theory
Golden ratio in science, as random sequence source, its computation and beyond
Computers & Mathematics with Applications
The golden section in the measurement theory
Computers & Mathematics with Applications
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A Fibonacci coding method using Fibonacci polynomials is introduced. For integers m=2, x=1 and n=1, an mxm matrix Q"m^n(x), the nth power of Q"m(x), is considered as the encoding matrix, where Q"m is an mxm matrix whose elements are Fibonacci polynomials. The decoding matrix Q"m^-^n(x) is also introduced. A simple error-detecting criterion and a simple error-correcting method for this class of codes are given. It is shown that the probability of decoding error is almost zero for m large enough. Illustrative examples are provided.