Single channel modified multiple-parameter fractional Fourier transform and scrambling technique

Key Validity Using the Multiple-parameter Fractional Fourier Transform for Image Encryption

“…In the encryption process, multiple keys are used to expand the key space of the system and thus have better security. Since then, the MPFRFT has become an important means to protect information security, and many research results have been proposed [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The MPFRFT is an extended definition of multifractional Fourier transform [17].…”

“…One is to use the MPFRFT combined with other encryption methods to ensure security [2][3][4][5][6][7]. For example, its combination with chaos is currently the most used encryption strategy [2][3][4][5], and its combination with other scrambling techniques [6,7], and so on. The second is the improvement of the algorithm.…”

Key Validity Using the Multiple-Parameter Fractional Fourier Transform for Image Encryption

“…In the encryption process, multiple keys are used to expand the key space of the system and thus have better security. Since then, the MPFRFT has become an important means to protect information security, and many research results have been proposed [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The MPFRFT is an extended definition of multifractional Fourier transform [19].…”

“…Compared with previous encryption schemes [19,20], the MPFRFT not only uses the period and the transformation order as the keys, but also introduces two vector parameters, and vector parameters increase with the increase of the period, so it has better security. The existing encryption schemes mainly focus on two aspects: One is to use the MPFRFT combined with other encryption methods to ensure security [4][5][6][7][8][9]. For example, its combination with chaos is currently the most used encryption strategy [4][5][6][7], and its combination with other scrambling techniques [8,9], and so on.…”

“…The existing encryption schemes mainly focus on two aspects: One is to use the MPFRFT combined with other encryption methods to ensure security [4][5][6][7][8][9]. For example, its combination with chaos is currently the most used encryption strategy [4][5][6][7], and its combination with other scrambling techniques [8,9], and so on. The second is the improvement of the algorithm.…”