Chaotic Image Encryption Algorithm Based on Circulant Operation

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left">Model </td><td align="center"> Plain-image </td><td align="center"> Cipher-image </td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left"> Horizontally</td><td align="center"> 0.97799 </td><td align="center"><span style="width: 62.9375px;"><svg height="11.225" id="M147" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 62.9375 11.225" width="62.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td></tr><tr><td align="left"> Diagonally </td><td align="center"> 0.98125 </td><td align="center"><span style="width: 62.9375px;"><svg height="11.225" id="M148" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 62.9375 11.225" width="62.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q0 -76 10 -138.5t37 -107.5t69 -45q32 0 55.5 25t35.5 68.5t17.5 91.5t5.5 105t-5.5 105.5t-18 92t-36 68t-56.5 24.5z" id="x30"></path></g><g transform="matrix(.017,-0,0,-.017,30.235,10.963)"><path d="M456 178h-96v-72q0 -51 12.5 -62.5t72.5 -16.5v-27h-256v27q65 5 78 17t13 62v72h-260v28q182 271 300 426h40v-407h96v-47zM280 225v295h-2q-107 -148 -196 -295h198z" id="x34"></path></g><g transform="matrix(.017,-0,0,-.017,38.395,10.963)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
q0 -76 10 -138.5t37 -107.5t69 -45q32 0 55.5 25t35.5 68.5t17.5 91.5t5.5 105t-5.5 105.5t-18 92t-36 68t-56.5 24.5z" id="x30"></path></g><g transform="matrix(.017,-0,0,-.017,46.554,10.963)"><path d="M447 623l8 -12l-283 -613l-74 -10l-7 11q174 283 297 551h-216q-48 0 -62.5 -12t-33.5 -63h-29q10 60 18 148h382z" id="x37"></path></g><g transform="matrix(.017,-0,0,-.017,54.713,10.963)"><path d="M137 343l67 33q37 17 63 17q79 0 129.5 -53t50.5 -131q0 -92 -58 -156.5t-147 -64.5t-147 68t-58 182q0 63 17 119t43 95.5t61.5 72t69 52t67.5 31.5q62 22 128 33l6 -32q-56 -11 -108 -35q-149 -71 -184 -231zM227 337q-47 0 -95 -27q-6 -23 -6 -70q0 -93 36 -155.5
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</svg></span></td></tr><tr><td align="left"> Vertically </td><td align="center"> 0.96017 </td><td align="center"><span style="width: 52.962502px;"><svg height="11.225" id="M149" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 52.962502 11.225" width="52.962502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Abstract and Applied Analysis

tab1

Table 1

Table 1: Chaotic Image Encryption Algorithm Based on Circulant Operation 