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In this work, we study the non-spectrality of the self-affine measureμ   M  ,  D{\mu_{M,D}}    generated by an expanding integer matrixM  ∈    M  2   ⁢   (  ℤ  ){M\in M_{2}(\mathbb{Z})}    withdet  ⁡   (  M  )    ∉   2  ⁢  ℤ{\det(M)\notin 2\mathbb{Z}}    and the integer digit set

The cardinality of μ M , D ‐orthogonal exponentials for the planar four digits