Length-maximal q-ary codes with Singleton defect s must be symbol-uniform with distances in a small set and satisfy (s+2) dividing q(q+1), with tighter bounds when s is large.
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Length-Maximal Codes with Given Singleton Defect: Structure and Bounds
Length-maximal q-ary codes with Singleton defect s must be symbol-uniform with distances in a small set and satisfy (s+2) dividing q(q+1), with tighter bounds when s is large.