An Analytic Construction of the Visual Secret Sharing Scheme for Color Images

Hiroki KOGA, Mitsugu IWAMOTO, and Hirosuke YAMAMOTO

IEICE TRANS. FUNDAMENTALS, vol.E84-A, no.1, pp.262-272 Jan. 2001.

  • This paper proposes a new construction of the visual secret sharing scheme for the $(n,n)$-threshold access structure applicable to color images. The construction uses matrices with n rows that can be identified with homogeneous polynomials of degree $n$. It is shown that, if we find a set of homogeneous polynomials of degree n satisfying a certain system of simultaneous partial differential equations, we can construct a visual secret sharing scheme for the $(n,n)$-threshold access structure by using the matrices corresponding to the homogeneous polynomials. The construction is easily extended to the cases of the $(t,n)$-threshold access structure and more general access structures.
  • Key words: secret sharing,visual secret sharing,visual cryptology,general access structure
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