It is well known that the set of all codewords of weight $4$ from any extended perfect code with the all-zero vector forms a Steiner quadruple system. In this paper it is shown that the Steiner quadruple system of order $2^t$ constructed by switchings from the Steiner quadruple system, corresponding to the Hamming code, is embedded into some extended perfect code constructed by switchings of $ijkl$-components from the binary extended Hamming code.
| Abstracts file: | KovalSol_Theses.pdf |