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For the decryption operation, the mapping distorter uses the two state variables f and t to select operations for the mapping and the translation process, respectively. The state variables f and t respectively select the rotation, the shift, the XOR operation, and the translation operations for the input symbols. The mapping distorter uses the rotation, the shift, and the rotation operations for manipulating the first and second input symbols of the input triple, and uses the XOR operation for manipulating the third input symbol. The rotation operation is used to rotate the output symbol of the mapping process (Table 2). The shift operation is used to shift the output symbol in the range ([0, 2^p-1]) (Fig. 5). The rotation operation is used to generate a rotation of the output symbol that is required for the translation process, which is applied to the transformed output symbol to obtain the decrypted symbol. The XOR operation creates the decrypted symbol from the three input symbols by using the addition and the multiplication operations in Galois field (GF(2^p)). The addition operation in (GF(2^p)) is defined as a bitwise XOR operation. The multiplication operation in (GF(2^p)) is defined as a bitwise NAND operation.

Signed PDF documents are generated using the Adobe Acrobat Pro Extended SDK. The generated documents are then passed through a test case and the resulting data are compared with the data generated by the creator. The test case passes if the resulting data and the data from the creator are identical.

The final output is the “sealing code” that is expressed by the color red, which is the result of the diffusion process and colors. As Fig. 11 shows, the sealing code is the output of the diffusion stage and is expressed as red. The diffusion process contains two operations: diffusion and saturation. The diffusion process diffuses the diffusion value (generated by Gauss-Jordan or Lenstra-Shiavo) on the color of the source color pair, and the diffusion process yields a flat color. When the diffusion value is 0, the diffusion process yields a flat color (i.e., red). Saturation is a mathematical operation that decreases the color saturation of a color to 0, thereby resulting in white.

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