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On symmetry group of Mollard code
This work generalizes of a result for symmetry groups of Vasil’ev codes and finds the group StabD2Sym(M(C,D); the result is preceded by and partially based on a discussion of ”linearity” of coordinate positions in a nonlinear perfect code (non-projective Steiner triple system respectively).
MMS-type problems for Johnson scheme
In the current work we consider the minimization problems for the number of nonzero or negative values of vectors from the first and second eigenspaces of the Johnson scheme respectively. The topic…
A note on regular subgroups of the automorphism group of the linear Hadamard code
- 12 July 2018
This work considers the regular subgroups of the automorphism group of the linear Hadamard code and shows that the dihedral group D2r−1 is a regular subgroup of GA(r, 2) only when r = 3.