Hamming-code-based quantum image watermarking method

A quantum image and Hamming code technology, applied in image data processing, image data processing, instruments, etc., can solve the problems of large amount of calculation, difficult operation of quantum gates, low computational complexity, etc., achieving good robustness and complete realization. The effect of stability and accuracy, low computational complexity

Inactive Publication Date: 2015-06-17
FUJIAN NORMAL UNIV
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Problems solved by technology

For example, the Chinese invention patent with the publication number CN201310288164 provides a quantum watermark authentication method based on quantum discrete cosine transform. Through the watermark technology of quantum cosine transform, the copyright protection of color imag

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  • Hamming-code-based quantum image watermarking method
  • Hamming-code-based quantum image watermarking method
  • Hamming-code-based quantum image watermarking method

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Embodiment 1

[0100] Please refer to Figure 4 and Figure 5 , Embodiment 1 of the present invention is:

[0101] see Figure 4 , the original watermark image containing "Copyright" font is clear;

[0102] see Figure 5 , the original watermark image containing "Copyright" font is encoded by Hamming code, and the encoded watermark image is blurred, which shows that the error correction encoding of the original watermark image by Hamming code is more effective.

Embodiment 2

[0104] 1. When the original watermark image is encoded with Hamming code for error correction:

[0105] Assuming that the information bit sequence of the original watermark image is a vector A of 1×4, it is divided into one group, and the code length is 4. Use (7,4) Hamming code for error correction coding on vector A, then the code length of Hamming code is 7, and the code length of each group of error correction codes is 3. The bit sequence after encoding the vector A is a 1×7 vector C, and the generator matrix of (7,4) Hamming code is G, then

[0106] A·G=C,

[0107] Among them, "·" represents the matrix multiplication operation, and

[0108] G = 1 0 0 0 1 0 1 ...

Embodiment 3

[0115] Please refer to Figure 6 to Figure 10 , the third embodiment of the present invention is:

[0116] see Image 6 , assuming that the size of the original quantum carrier image is 2 2 ×2 2 , namely m=2, n=2, then

[0117] The horizontal coordinates of the original quantum carrier image are |x>=|x 1 x 0 >

[0118] The vertical coordinate of the original quantum carrier image is |y>=|y 1 the y 0 >

[0119] The original watermark image is a 1×4 vector W, and the encoded watermark image is a 1×7 vector W’;

[0120] If i=2, and x 2 = 1,y 2 = 2, the auxiliary qubit is Z 2 , then at this time

[0121] The corresponding encoded watermark image information is W 2 ';

[0122] The embedding position of the corresponding original quantum carrier image is M 1,2 , namely x 1 =0,x 0 = 1,y 1 = 1,y 0 = 0;

[0123] 1. W in the encoded watermark image information 2 ’ Embedding position M of embedding the original quantum carrier image 1,2 When the least significant d...

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Abstract

The invention provides a hamming-code-based quantum image watermarking method. The method comprises the following steps that the original watermark image is subjected to correcting coding through the hamming code; pseudo random numbers are utilized to generate a watermark embedding position on the original quantum carrier image; an auxiliary quantum bit sequence is additionally arranged to the original quantum carrier image during embedding of the watermark; the coded watermark image is decoded through the hamming code. With the adoption of the method, the completeness and accuracy of embedding and extracting of the watermark image can be achieved; the efficiency is high; the operation complexity is small; the robustness is high; the watermark can be embedded into part of the position of the quantum image; the original watermark image can be obtained without the original quantum carrier image; the method can be applied to encrypting of the gray image watermark and encrypting of the colored image watermark.

Description

technical field [0001] The invention relates to the field of quantum secure communication, in particular to a quantum image watermarking method based on Hamming codes. Background technique [0002] With the development of information technology, it becomes easier to intercept, access, copy and tamper with images. Therefore, how to protect image data from unauthorized access has become a hot research topic. At present, there are mainly two methods to solve the image authentication problem: one method is the image cryptography system, which converts the image from one recognizable form to another unrecognizable form; the other method is image steganography, which Conceal existing information by embedding images into the carrier medium. As an important image steganography technique, image watermarking has made great progress. [0003] In recent years, with the development of quantum technology, people have done some research on the representation, storage and restoration of ...

Claims

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Application Information

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IPC IPC(8): G06T1/00
Inventor 林崧王宁孔祥增
Owner FUJIAN NORMAL UNIV
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