The (non-)existence of perfect codes in Lucas cubes

A Fibonacci string of length $n$ is a binary string $b = b_1b_2ldots b_n$ in which for every $1 leq i < n$, $b_icdot b_{i+1} = 0$. In other words, a Fibonacci string is a binary string without 11 as a substring. Similarly, a Lucas string is a Fibonacci string $b_1b_2ldots b_n$ that $b_1cdot b_n =...

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Bibliographic Details
Main Author: Azam Ghaleh Agha Babai
Format: Article
Language:fas
Published: Kharazmi University 2022-11-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-3002-en.html