Minimal linear codes

Minimal binary linear codes : a general framework based on bent concatenation

Minimal codes are characterized by the property that none of the codewords is covered by some other linearly independent codeword. We first show that the use of a bent function g in the so-called direct sum of Boolean functions h(x, y) = f(x) + g(y) …

Several classes of minimal binary linear codes violating the Ashikhmin-Barg bound

Minimal binary linear codes are a special class of binary codes with important applications in secret sharing and secure two-party computation. These codes are characterized by the property that none of the nonzero codewords is covered by any other …

Wide minimal binary linear codes from the general Maiorana–McFarland class

Minimal linear codes form a special class of linear codes that have important applications in secret sharing and secure two-party computation. These codes are characterized by the property that linearly independent codewords do not cover each other. …