2 papers
cs.IT2026
Systematic Codes Correcting Two Deletions with Three Redundant Symbols over Large Alphabets
Valery, Grishin, Aryeh Lev Zabokritskiy
We construct systematic -ary codes correcting two deletions with three redundant symbols over polynomial-size alphabets. For every information length , our first construc…
cs.IT2026
Quantitative tiling stability from quadratic discrepancy in Hamming spaces
Valery, Grishin, Aryeh Lev Zabokritskiy
Quadratic ball discrepancy measures how uniformly a code meets Hamming balls over all centers and radii. Perfect codes minimize this quantity among codes of the same cardinality. W…