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Let p be a prime number. Reducible cyclic codes of rank 2 over $$\mathbb {Z}_{p^m}$$ Z p m are shown to have exactly two Hamming weights in some cases. Their… Click to show full abstract
Let p be a prime number. Reducible cyclic codes of rank 2 over $$\mathbb {Z}_{p^m}$$ Z p m are shown to have exactly two Hamming weights in some cases. Their weight distribution is computed explicitly. When these codes are projective, the coset graphs of their dual codes are strongly regular. The spectra of these graphs are determined.
Keywords:
reducible cyclic;
cyclic codes;
strongly regular;
graphs;
codes strongly;
regular graphs
Journal Title: Journal of Algebraic Combinatorics
Year Published: 2021
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Journal Title: Journal of Algebraic Combinatorics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!