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- W4387427247 abstract "In the present paper, we investigate the existence of lattice perfect codes in two families of two-dimensional lattices built from the Minkowski embedding of the ring of integers of a quadratic field K=Q[l], where l is a square-free integer. We analyzed the forms and quantities of perfect codes for two of these families lattices, one Orthogonal and the other Non-Orthogonal and we verified that we always managed to find a perfect code in these two families of lattices. The greater the value of l the more perfect codes we get." @default.
- W4387427247 created "2023-10-08" @default.
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- W4387427247 date "2024-01-01" @default.
- W4387427247 modified "2023-10-18" @default.
- W4387427247 title "Perfect codes in two-dimensional algebraic lattices" @default.
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- W4387427247 doi "https://doi.org/10.1016/j.disc.2023.113716" @default.
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