An Efficient Image Watermarking Method Based on Fast Discrete Cosine Transform Algorithm

Table 1

The key in watermark embedding/decoding process includes four frequency coefficients, two random permutation vectors, and a quantization matrix.

Frequency coefficients	6, 11, 12, 14
Random permutation vectors	44, 19, 34, 9, 62, 7, 50, 57, 39, 20, 40, 30, 10, 49, 53, 27, 52, 43, 6, 13, 4, 26, 23, 47, 55, 36, 38, 64, 58, 61, 21, 14, 45, 41, 8, 59, 12, 18, 24, 31, 1, 32, 11, 29, 56, 48, 42, 15, 5, 46, 63, 51, 25, 37, 28, 2, 54, 21, 60, 3, 16, 33, 35, 17
	57, 47, 39, 40, 3, 32, 15, 50, 37, 64, 56, 36, 23, 11, 63, 42, 9, 51, 46, 10, 2, 30, 61, 60, 55, 41, 43, 59, 26, 25, 27, 4, 35, 45, 20, 53, 7, 12, 8, 31, 21, 44, 62, 5, 33, 16, 54, 6, 22, 18, 14, 17, 13, 1, 19, 49, 29, 52, 58, 38, 34, 28, 48, 24
Quantization matrix Q