A Digital Signature Scheme Based on <i>MST</i><sub>3</sub> Cryptosystems

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left"> </td><td align="center"><svg height="15.25" id="M438" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 24.825001 15.25" width="24.825001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> ADD </td><td align="center"><svg height="15.25" id="M439" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 24.825001 15.25" width="24.825001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> MULT </td><td align="center"><svg height="15.25" id="M440" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 24.825001 15.25" width="24.825001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> EXP<svg height="15.1125" id="M441" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 20.35 15.1125" width="20.35" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td><td align="center"><svg height="15.25" id="M442" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 24.825001 15.25" width="24.825001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><path d="M613 503l-29 -3q-13 55 -28 80q-13 21 -35.5 28.5t-78.5 7.5h-76q-22 0 -27.5 -5t-5.5 -27v-238h103q66 0 82.5 12t25.5 62h29v-193h-29q-9 54 -25.5 67t-82.5 13h-103v-181q0 -64 15 -78.5t84 -19.5v-28h-394v28q62 5 76 19.5t14 77.5v400q0 63 -14 77.5t-76 19.5v28
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<g transform="matrix(.008,-0,0,-.008,16.8,10.7)"><path d="M766 88q-40 -45 -83.5 -72.5t-63.5 -27.5q-39 0 -16 103l49 224q15 68 -10 68q-36 0 -112.5 -78.5t-105.5 -133.5q-27 -101 -38 -165q-35 -4 -77 -18l-6 6q42 153 70 288q12 55 10 78t-19 23q-38 0 -114 -80.5t-101 -131.5q-24 -68 -41 -165q-36 -3 -76 -18l-8 6
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</svg> PRNG </td><td align="center"> Factor </td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">Signature</td><td align="center"><span style="width: 48.512501px;"><svg height="11.125" id="M443" style="vertical-align:-0.51414pt" version="1.1" viewbox="0 0 48.512501 11.125" width="48.512501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center"><span style="width: 32.1875px;"><svg height="11.125" id="M444" style="vertical-align:-0.51414pt" version="1.1" viewbox="0 0 32.1875 11.125" width="32.1875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">—</td><td align="center">1</td><td align="center">1</td></tr><tr><td align="left">Verification</td><td align="center"><span style="width: 40.349998px;"><svg height="11.125" id="M445" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 40.349998 11.125" width="40.349998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">—</td><td align="center">—</td><td align="center">—</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Number of basic operations for digital signature scheme.

Mathematical Problems in Engineering

tab3

Table 3

Table 3: A Digital Signature Scheme Based on <i>MST</i><sub>3</sub> Cryptosystems 

Mathematical Problems in Engineering

A Digital Signature Scheme Based on MST3 Cryptosystems

Table 3

A Digital Signature Scheme Based on MST₃ Cryptosystems