Bent Vectorial Functions, Codes and Designs
From MaRDI portal
Publication:5211519
DOI10.1109/TIT.2019.2922401zbMath1433.94164arXiv1808.08487OpenAlexW2964020194MaRDI QIDQ5211519
Akihiro Munemasa, Cunsheng Ding, Vladimir D. Tonchev
Publication date: 28 January 2020
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.08487
Related Items
The linear codes of \(t\)-designs held in the Reed-Muller and simplex codes ⋮ Several classes of new weakly regular bent functions outside \(\mathcal{RF}\), their duals and some related (minimal) codes with few weights ⋮ Vectorial bent functions and linear codes from quadratic forms ⋮ Expressing the minimum distance, weight distribution and covering radius of codes by means of the algebraic and numerical normal forms of their indicators ⋮ Infinite families of \(t\)-designs and strongly regular graphs from punctured codes ⋮ Generic construction of Boolean functions with a few Walsh transform values of any possible algebraic degree ⋮ New characterizations and construction methods of bent and hyper-bent Boolean functions ⋮ Type IV-II codes over Z4 constructed from generalized bent functions ⋮ Combinatorial \(t\)-designs from special functions ⋮ Steiner systems \(S(2, 4, \frac{3^m-1}{2})\) and 2-designs from ternary linear codes of length \(\frac{3^m-1}{2}\) ⋮ Linear codes and incidence structures of bent functions and their generalizations