Data and code for: New bounds on the minimum distance of binary LCD codes of dimensions 7 to 10

This repository contains the data, generator matrices, verification programs, search code, and exact nonexistence certificates accompanying the paper “New bounds on the minimum distance of binary LCD codes of dimensions 7 to 10.” The study investigates binary linear complementary dual (LCD) codes with dimensions 7to 10 and lengths 51 to 256. A local search over column multisets of generator matrices, combined with simplex-code juxtaposition, improves the best known lower bounds for 194 parameter pairs. On the upper-bound side, a divisibility argument for Griesmer codes and a strengthened weight-distribution linear program based on the Gauss-sum characterization of LCD codes improve the known upper bounds for 127 parameter pairs. Together, these results determine the largest minimum distance for 72 parameter pairs for the first time. The repository includes explicit generator matrices for all reported codes, the search implementation, two independent verification programs, the linear-programming code, exact rational-arithmetic checks for the nonexistence results, and supporting data tables. The materials are provided to enable independent verification and reproduction of the results reported in the paper.