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 …
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. …
The first and the third authors recently introduced a spectral construction of plateaued and of 5-value spectrum functions. In particular, the design of the latter class requires a specification of integers $\\{W(u)\\colon u \\in {F}_2^n\\}$, where …
For a function $f:\\{−1,1\\}^n\\to \\{−1,1\\}$ the relationship between the sum of its linear Fourier coefficients $\\hat{f}(i)$ (defined by $\\hat{f}(i)≔\\frac{1}{2^n}\\sum_{x\in \\{−1,1\\}^n} f(x)x_i$ for $i=1,2,\\ldots,n$ and …