New Upper Bounds on Binary Linear Codes and a $ {\mathbb Z}_{4}$ -Code With a Better-Than-Linear Gray Image
New Upper Bounds on Binary Linear Codes and a $ {\mathbb Z}_{4}$ -Code With a Better-Than-Linear Gray Image
Using integer linear programming and table-lookups we prove that there is no binary linear [1988,12, 992] code.As a byproduct, the non-existence of binary linear codes with the parameters [324,10, 160], [356,10, 176], [772, 11, 384], and [836, 11, 416] is shown.Our work is motivated by the recent construction of the …