Abstract
Let \({\Sigma }_{q} =\{ 0,1,\ldots,q - 1\}\) be an alphabet of order q. A q-ary (unrestricted) code C of length n and size | C | is a subset of Σ q n containing | C | elements called codewords. The Hamming weight wt(c) of a codeword c is the number of its nonzero entries. A constant-weight code is a code where all the codewords have the same Hamming weight. The Hamming distance d(c, c′) between two codewords c and c′ is the number of positions where they have different entries. The minimum Hamming distance of a code C is the largest integer Δ such that ∀c,c′ ∈ C, d(c, c′) ≥ Δ.
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Rouayheb, S.E., Georghiades, C.N. (2012). Graph Theoretic Methods in Coding Theory. In: Cohen, L., Poor, H., Scully, M. (eds) Classical, Semi-classical and Quantum Noise. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6624-7_5
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