Notes on the complexity of coverings for Kronecker powers of symmetric matrices

12/04/2022

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by   Igor S. Sergeev, et al.

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In the present note, we study a new method of constructing efficient coverings for Kronecker powers of matrices, recently proposed by J. Alman, Y. Guan, A. Padaki [arXiv, 2022]. We provide an alternative proof for the case of symmetric matrices in a stronger form. As a consequence, the previously known upper bound on the depth-2 additive complexity of the boolean N× N Kneser-Sierpinski matrices is improved to O(N^1.251).