blob: c2c8e90b01af30df635063b6d8f5daff89cccfc7 [file] [log] [blame]
"use strict";(self.webpackChunk=self.webpackChunk||[]).push([[3972],{3905:(t,e,a)=>{a.d(e,{Zo:()=>k,kt:()=>s});var n=a(7294);function r(t,e,a){return e in t?Object.defineProperty(t,e,{value:a,enumerable:!0,configurable:!0,writable:!0}):t[e]=a,t}function l(t,e){var a=Object.keys(t);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(t);e&&(n=n.filter((function(e){return Object.getOwnPropertyDescriptor(t,e).enumerable}))),a.push.apply(a,n)}return a}function p(t){for(var e=1;e<arguments.length;e++){var a=null!=arguments[e]?arguments[e]:{};e%2?l(Object(a),!0).forEach((function(e){r(t,e,a[e])})):Object.getOwnPropertyDescriptors?Object.defineProperties(t,Object.getOwnPropertyDescriptors(a)):l(Object(a)).forEach((function(e){Object.defineProperty(t,e,Object.getOwnPropertyDescriptor(a,e))}))}return t}function i(t,e){if(null==t)return{};var a,n,r=function(t,e){if(null==t)return{};var a,n,r={},l=Object.keys(t);for(n=0;n<l.length;n++)a=l[n],e.indexOf(a)>=0||(r[a]=t[a]);return r}(t,e);if(Object.getOwnPropertySymbols){var l=Object.getOwnPropertySymbols(t);for(n=0;n<l.length;n++)a=l[n],e.indexOf(a)>=0||Object.prototype.propertyIsEnumerable.call(t,a)&&(r[a]=t[a])}return r}var m=n.createContext({}),o=function(t){var e=n.useContext(m),a=e;return t&&(a="function"==typeof t?t(e):p(p({},e),t)),a},k=function(t){var e=o(t.components);return n.createElement(m.Provider,{value:e},t.children)},u="mdxType",d={inlineCode:"code",wrapper:function(t){var e=t.children;return n.createElement(n.Fragment,{},e)}},N=n.forwardRef((function(t,e){var a=t.components,r=t.mdxType,l=t.originalType,m=t.parentName,k=i(t,["components","mdxType","originalType","parentName"]),u=o(a),N=r,s=u["".concat(m,".").concat(N)]||u[N]||d[N]||l;return a?n.createElement(s,p(p({ref:e},k),{},{components:a})):n.createElement(s,p({ref:e},k))}));function s(t,e){var a=arguments,r=e&&e.mdxType;if("string"==typeof t||r){var l=a.length,p=new Array(l);p[0]=N;var i={};for(var m in e)hasOwnProperty.call(e,m)&&(i[m]=e[m]);i.originalType=t,i[u]="string"==typeof t?t:r,p[1]=i;for(var o=2;o<l;o++)p[o]=a[o];return n.createElement.apply(null,p)}return n.createElement.apply(null,a)}N.displayName="MDXCreateElement"},9520:(t,e,a)=>{a.r(e),a.d(e,{assets:()=>k,contentTitle:()=>m,default:()=>N,frontMatter:()=>i,metadata:()=>o,toc:()=>u});var n=a(7462),r=a(3366),l=(a(7294),a(3905)),p=["components"],i={id:"pair192",title:"PAIR192",sidebar_label:"PAIR192"},m=void 0,o={unversionedId:"cryptojs/pair192",id:"cryptojs/pair192",title:"PAIR192",description:"PAIR192",source:"@site/../docs/cryptojs/pair192.md",sourceDirName:"cryptojs",slug:"/cryptojs/pair192",permalink:"/docs/cryptojs/pair192",draft:!1,tags:[],version:"current",frontMatter:{id:"pair192",title:"PAIR192",sidebar_label:"PAIR192"},sidebar:"docs",previous:{title:"PAIR",permalink:"/docs/cryptojs/pair"},next:{title:"PAIR256",permalink:"/docs/cryptojs/pair256"}},k={},u=[{value:"PAIR192",id:"pair192",level:2},{value:"new PAIR192()",id:"new-pair192",level:3},{value:"PAIR192.line()",id:"pair192line",level:3},{value:"PAIR192.initmp()",id:"pair192initmp",level:3},{value:"PAIR192.miller(r, res)",id:"pair192millerr-res",level:3},{value:"PAIR192.another(r, P1, Q1)",id:"pair192anotherr-p1-q1",level:3},{value:"PAIR192.ate(P1, Q1)",id:"pair192atep1-q1",level:3},{value:"PAIR192.ate2(P1, Q1, R1, S1)",id:"pair192ate2p1-q1-r1-s1",level:3},{value:"PAIR192.fexp(m)",id:"pair192fexpm",level:3},{value:"PAIR192.lbits()",id:"pair192lbits",level:3},{value:"PAIR192.glv()",id:"pair192glv",level:3},{value:"PAIR192.gs()",id:"pair192gs",level:3},{value:"PAIR192.G1mul(P, e) \u21d2",id:"pair192g1mulp-e-",level:3},{value:"PAIR192.G2mul(P, e) \u21d2",id:"pair192g2mulp-e-",level:3},{value:"PAIR192.GTpow(d, e) \u21d2",id:"pair192gtpowd-e-",level:3}],d={toc:u};function N(t){var e=t.components,a=(0,r.Z)(t,p);return(0,l.kt)("wrapper",(0,n.Z)({},d,a,{components:e,mdxType:"MDXLayout"}),(0,l.kt)("a",{name:"PAIR192"}),(0,l.kt)("h2",{id:"pair192"},"PAIR192"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": global class",(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("ul",null,(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192"},"PAIR192"),(0,l.kt)("ul",{parentName:"li"},(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#new_PAIR192_new"},"new PAIR192()")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.line"},".line()")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.initmp"},".initmp()")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.miller"},".miller(r, res)")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.another"},".another(r, P1, Q1)")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.ate"},".ate(P1, Q1)")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.ate2"},".ate2(P1, Q1, R1, S1)")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.fexp"},".fexp(m)")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.lbits"},".lbits()")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.glv"},".glv()")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.gs"},".gs()")),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.G1mul"},".G1mul(P, e)")," \u21d2"),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.G2mul"},".G2mul(P, e)")," \u21d2"),(0,l.kt)("li",{parentName:"ul"},(0,l.kt)("a",{parentName:"li",href:"#PAIR192.GTpow"},".GTpow(d, e)")," \u21d2")))),(0,l.kt)("a",{name:"new_PAIR192_new"}),(0,l.kt)("h3",{id:"new-pair192"},"new PAIR192()"),(0,l.kt)("p",null,"Creates an instance of PAIR192"),(0,l.kt)("a",{name:"PAIR192.line"}),(0,l.kt)("h3",{id:"pair192line"},"PAIR192.line()"),(0,l.kt)("p",null,"Line function"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("a",{name:"PAIR192.initmp"}),(0,l.kt)("h3",{id:"pair192initmp"},"PAIR192.initmp()"),(0,l.kt)("p",null,"prepare for multi-pairing"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("a",{name:"PAIR192.miller"}),(0,l.kt)("h3",{id:"pair192millerr-res"},"PAIR192.miller(r, res)"),(0,l.kt)("p",null,"basic Miller loop"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"r"),(0,l.kt)("td",{parentName:"tr",align:null},"FP24 precomputed array of accumulated line functions")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"res"),(0,l.kt)("td",{parentName:"tr",align:null},"FP24 result")))),(0,l.kt)("a",{name:"PAIR192.another"}),(0,l.kt)("h3",{id:"pair192anotherr-p1-q1"},"PAIR192.another(r, P1, Q1)"),(0,l.kt)("p",null,"Precompute line functions for n-pairing"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"r"),(0,l.kt)("td",{parentName:"tr",align:null},"array of precomputed FP24 products of line functions")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"P1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G2")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"Q1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G1")))),(0,l.kt)("a",{name:"PAIR192.ate"}),(0,l.kt)("h3",{id:"pair192atep1-q1"},"PAIR192.ate(P1, Q1)"),(0,l.kt)("p",null,"Calculate Miller loop for Optimal ATE pairing e(P,Q)"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}'),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"Result"),": r An element of GT i.e. result of the pairing calculation e(P,Q) "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"P1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G2")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"Q1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G1")))),(0,l.kt)("a",{name:"PAIR192.ate2"}),(0,l.kt)("h3",{id:"pair192ate2p1-q1-r1-s1"},"PAIR192.ate2(P1, Q1, R1, S1)"),(0,l.kt)("p",null,"Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S)"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}'),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"Result"),": r An element of GT i.e. result of the double pairing calculation e(P,Q).e(R,S) "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"P1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G2")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"Q1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G1")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"R1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G2")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"S1"),(0,l.kt)("td",{parentName:"tr",align:null},"An element of G1")))),(0,l.kt)("a",{name:"PAIR192.fexp"}),(0,l.kt)("h3",{id:"pair192fexpm"},"PAIR192.fexp(m)"),(0,l.kt)("p",null,"Final exponentiation of pairing, converts output of Miller loop to element in GT"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}'),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"Result"),": r m^((p^12-1)/r) where p is modulus and r is the group order "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"m"),(0,l.kt)("td",{parentName:"tr",align:null},"FP24 value")))),(0,l.kt)("a",{name:"PAIR192.lbits"}),(0,l.kt)("h3",{id:"pair192lbits"},"PAIR192.lbits()"),(0,l.kt)("p",null,"prepare ate parameter, n=6u+2 (BN) or n=u (BLS), n3=3","*","n"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("a",{name:"PAIR192.glv"}),(0,l.kt)("h3",{id:"pair192glv"},"PAIR192.glv()"),(0,l.kt)("p",null,"GLV method"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("a",{name:"PAIR192.gs"}),(0,l.kt)("h3",{id:"pair192gs"},"PAIR192.gs()"),(0,l.kt)("p",null,"Galbraith & Scott Method"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("a",{name:"PAIR192.G1mul"}),(0,l.kt)("h3",{id:"pair192g1mulp-e-"},"PAIR192.G1mul(P, e) \u21d2"),(0,l.kt)("p",null,"Fast point multiplication of a member of the group G1 by a BIG number"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"Returns"),": R Member of G1 R=e.P",(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"P"),(0,l.kt)("td",{parentName:"tr",align:null},"Member of G1")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"e"),(0,l.kt)("td",{parentName:"tr",align:null},"BIG multiplier")))),(0,l.kt)("a",{name:"PAIR192.G2mul"}),(0,l.kt)("h3",{id:"pair192g2mulp-e-"},"PAIR192.G2mul(P, e) \u21d2"),(0,l.kt)("p",null,"Multiply P by e in group G2"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"Returns"),": R Member of G2 R=e.P",(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"P"),(0,l.kt)("td",{parentName:"tr",align:null},"Member of G2")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"e"),(0,l.kt)("td",{parentName:"tr",align:null},"BIG multiplier")))),(0,l.kt)("a",{name:"PAIR192.GTpow"}),(0,l.kt)("h3",{id:"pair192gtpowd-e-"},"PAIR192.GTpow(d, e) \u21d2"),(0,l.kt)("p",null,"Fast raising of a member of GT to a BIG power"),(0,l.kt)("p",null,(0,l.kt)("strong",{parentName:"p"},"Kind"),": static method of ",(0,l.kt)("a",{parentName:"p",href:"#PAIR192"},(0,l.kt)("code",null,"PAIR192")),(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"Returns"),": r d^e",(0,l.kt)("br",{parentName:"p"}),"\n",(0,l.kt)("strong",{parentName:"p"},"this"),": ",(0,l.kt)("code",null,'{"{"}PAIR192{"}"}')," "),(0,l.kt)("table",null,(0,l.kt)("thead",{parentName:"table"},(0,l.kt)("tr",{parentName:"thead"},(0,l.kt)("th",{parentName:"tr",align:null},"Param"),(0,l.kt)("th",{parentName:"tr",align:null},"Description"))),(0,l.kt)("tbody",{parentName:"table"},(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"d"),(0,l.kt)("td",{parentName:"tr",align:null},"Member of GT")),(0,l.kt)("tr",{parentName:"tbody"},(0,l.kt)("td",{parentName:"tr",align:null},"e"),(0,l.kt)("td",{parentName:"tr",align:null},"BIG exponent")))))}N.isMDXComponent=!0}}]);