![]() The Fibonacci -matrices were introduced (see ), and in, for, a coding theory is obtained on the Fibonacci -matrices. ![]() For information on the Fibonacci code, see in. For, the following relations are satisfied about the Fibonacci sequence:(i)(ii)(iii)Apostolic and Fraenkle introduced the Fibonacci code which is used in source coding as well as in cryptography (see ). For, the Fibonacci sequence, denoted by, is defined bywith initial conditions, and (see ).īy the definition of the Fibonacci sequence, the proof of the following lemma is trivial. For information about these sequences, see. The Fibonacci sequence and its generalization sequence (–Fibonacci sequence number and Pell sequence) are famous sequences in mathematics. The Fibonacci sequence is defined by the recurrence relation, and. By these obtained results, we introduce some new codes on Fibonacci sequence. In this paper, we define and study the Fibonacci sequence matrix for.
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