| Autor: |
Jain, Rupali S., Reddy, B. Surendranath, Shaikh, Wajid M. |
| Předmět: |
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| Zdroj: |
Asian-European Journal of Mathematics; Nov2023, Vol. 16 Issue 11, p1-19, 19p |
| Abstrakt: |
In this paper, we consider the unit graph G (ℤ n) , where n = p 1 n 1 or p 1 n 1 p 2 n 2 or p 1 n 1 p 2 n 2 p 3 n 3 and p 1 , p 2 , p 3 are distinct primes. For any prime q , we construct q -ary linear codes from the incidence matrix of the unit graph G (ℤ n) with their parameters. We also prove that the dual of the constructed codes have minimum distance either three or four. Lastly, we stated two conjectures on diameter of unit graph G (ℤ n) and linear codes constructed from the incidence matrix of the unit graph G (ℤ n) for any integer n. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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