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Author

V. Grishin

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Preprint Aug 2026

Quantitative tiling stability from quadratic discrepancy in Hamming spaces

Quadratic ball discrepancy defines an energy on codes in finite Hamming spaces. At perfect-code parameters, its exact minimizers are the perfect codes. We fix the alphabet size, length, and code cardinality and compare all codes with these parameters. We prove tiling-defect stability: excess discrepancy above the perfe...

V. Grishin, Aryeh Lev Zabokritskiy · 0 citations

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