start有一处PEB(02:BeingDebugged)反调试,直接跳过。程序有混淆,但可以带着分析程序。
k_is_9:0042F000 start proc near k_is_9:0042F000 mov byte ptr [ebp-5], 0 k_is_9:0042F004 mov eax, large fs:30h k_is_9:0042F00A mov al, [eax+2] k_is_9:0042F00D mov [ebp-5], al k_is_9:0042F010 movzx eax, byte ptr [ebp-5] k_is_9:0042F014 test eax, eax k_is_9:0042F016 k_is_9:0042F016 loc_42F016: ; CODE XREF: start:loc_42F08A↓j k_is_9:0042F016 jnz short loc_42F08A k_is_9:0042F018 jmp sub_4110FF
程序的关键函数,根据界面提示搜索字串直接定位。 流程很明确获取输入,生成key,和目标字串进行比较检测。
int __usercall keyFunc@<eax>(int a1@<xmm0>) { int v1; // edx int v2; // eax int v3; // eax int v4; // ecx int v5; // eax int v6; // eax int v7; // ecx int v8; // eax int v9; // eax int v10; // ecx _DWORD *v11; // eax int v12; // eax int v13; // ecx void *v14; // edx int v16; // [esp-1Ch] [ebp-1F8h] int v17; // [esp-8h] [ebp-1E4h] void *v18; // [esp-4h] [ebp-1E0h] char v19; // [esp+0h] [ebp-1DCh] struc_String *keyString_1; // [esp+10h] [ebp-1CCh] struc_String *keyString; // [esp+14h] [ebp-1C8h] int v22; // [esp+18h] [ebp-1C4h] char goalBuf[56]; // [esp+20h] [ebp-1BCh] char v24; // [esp+58h] [ebp-184h] int v25; // [esp+60h] [ebp-17Ch] char v26; // [esp+6Ch] [ebp-170h] char v27; // [esp+7Fh] [ebp-15Dh] struc_String sting; // [esp+88h] [ebp-154h] int *v29; // [esp+ACh] [ebp-130h] int v30; // [esp+B8h] [ebp-124h] int v31; // [esp+BCh] [ebp-120h] struc_String goalString; // [esp+188h] [ebp-54h] struc_String keyStringFromInput; // [esp+1ACh] [ebp-30h] int v34; // [esp+1CCh] [ebp-10h] int v35; // [esp+1D8h] [ebp-4h] int savedregs; // [esp+1DCh] [ebp+0h] G1.x = 11; G1.y = 4; v30 = j_timesPiont((struc_Point *)a1, &G1, times); v31 = v1; G2.x = v30; G2.y = v1; sub_4113B6((int)&keyStringFromInput, a1, byte_4252C2); v35 = 0; v2 = sub_411802(std::cout, "Ep = y^2 = x^3 + 125*x "); v3 = std::basic_ostream<char,std::char_traits<char>>::operator<<(v2, sub_411159); j_asmFun(v4, &v19 == &v19, v3, a1); v5 = sub_411802(std::cout, "Prime field p=127,base point G(11,4),publicK(120,41) please find private key k"); v6 = std::basic_ostream<char,std::char_traits<char>>::operator<<(v5, sub_411159); j_asmFun(v7, &v19 == &v19, v6, a1); v8 = sub_411802(std::cout, "input your flag:"); v9 = std::basic_ostream<char,std::char_traits<char>>::operator<<(v8, sub_411159); j_asmFun(v10, &v19 == &v19, v9, a1); getInput(a1, std::cin, &keyStringFromInput); // 获取输入 v29 = &v16; v22 = sub_411447(&v16, a1, &keyStringFromInput); keyString = (struc_String *)calcuKey(a1, (int)&sting);// 根据输入生成key keyString_1 = keyString; stringCopy(&keyStringFromInput, a1, keyString); releaseString(&sting, a1); goalBuf[0] = 0x5E; //目标结果字串 goalBuf[1] = 0x26; goalBuf[2] = 0; goalBuf[3] = 0x13; goalBuf[4] = 94; goalBuf[5] = 38; goalBuf[6] = 86; goalBuf[7] = 94; goalBuf[8] = 94; goalBuf[9] = 38; goalBuf[10] = 45; goalBuf[11] = 121; goalBuf[12] = 94; goalBuf[13] = 38; goalBuf[14] = 4; goalBuf[15] = 5; goalBuf[16] = 94; goalBuf[17] = 38; goalBuf[18] = 90; goalBuf[19] = 116; goalBuf[20] = 94; goalBuf[21] = 38; goalBuf[22] = 49; goalBuf[23] = 73; goalBuf[24] = 94; goalBuf[25] = 38; goalBuf[26] = 8; goalBuf[27] = 41; goalBuf[28] = 94; goalBuf[29] = 38; goalBuf[30] = 94; goalBuf[31] = 55; goalBuf[32] = 94; goalBuf[33] = 38; goalBuf[34] = 53; goalBuf[35] = 2; goalBuf[36] = 94; goalBuf[37] = 38; goalBuf[38] = 12; goalBuf[39] = 92; goalBuf[40] = 94; goalBuf[41] = 38; goalBuf[42] = 98; goalBuf[43] = 50; goalBuf[44] = 94; goalBuf[45] = 38; goalBuf[46] = 57; goalBuf[47] = 41; goalBuf[48] = 94; goalBuf[49] = 38; goalBuf[50] = 16; goalBuf[51] = 51; goalBuf[52] = 94; goalBuf[53] = 38; goalBuf[54] = 102; goalBuf[55] = 18; v18 = j_getThis_0((int)&v27); v11 = sub_4112C1(&v26, (int)goalBuf, (int)&v24); createString(&goalString, a1, *v11, v11[1], (int)v18); if ( stringCmp((int)&keyStringFromInput, a1, (int)&goalString) )// key 验证 sub_41186B("try again", v19); else sub_41186B("Congratulations~~", v19); v12 = system("pause"); j_asmFun(v13, &v19 == &v19, v12, a1); v25 = 0; releaseString(&goalString, a1); v35 = -1; releaseString(&keyStringFromInput, a1); v18 = v14; v17 = v25; sub_411677((int)&savedregs, (int)&dword_41BC54); return j_asmFun((unsigned int)&savedregs ^ v34, 1, v17, a1); }
生成函数的依据是椭圆曲线方程,用输入字串的每个字符和字符的index进行倍点运算。
for ( i = 0; ; ++i ) { len = getInpuKeyLen((int)sting, a1); // 获取key长度 if ( i >= len ) break; index = i; oneKey = *(char *)getKeyByIndex((int)sting, a1, i); pointPair_1 = (struc_PointPair *)timesPiontByOneKey(a1, &pointPair, index, oneKey); copyPoint_1(&pointPair_2, a1, pointPair_1); j_addZuobiao2Buf_0(a1, (struc_String *)&resultStr, pointPair_2.p1_x); j_addZuobiao2Buf_0(a1, (struc_String *)&resultStr, pointPair_2.p1_y); j_addZuobiao2Buf_0(a1, (struc_String *)&resultStr, pointPair_2.p2_x); j_addZuobiao2Buf_0(a1, (struc_String *)&resultStr, pointPair_2.p2_y); }
运算过程如下:
int __usercall timesPiontByOneKey_0@<eax>(struc_Point *a1@<xmm0>, struc_PointPair *result, int index, int onekey) { int y1AfterTimes; // edx int y2AfterTimes; // edx struc_Point p1; // [esp+100h] [ebp-20h] struc_Point p2; // [esp+110h] [ebp-10h] int v9; // [esp+11Ch] [ebp-4h] int savedregs; // [esp+120h] [ebp+0h] p2.x = j_timesPiont(a1, &G1, 17); // G1(11,4)->(0x5e,0x26) p2.y = y1AfterTimes; p1.x = index * j_timesPiont(a1, &G2, 17) % 127;// G2(14,91)->(0x56,0x5A) p1.y = onekey * y2AfterTimes % 127; copyPoint(result, (int)a1, (int)&p2, (int)&p1); sub_411677((int)&savedregs, (int)&dword_417788); return j_asmFun((unsigned int)&savedregs ^ v9, 1, (int)result, (int)a1); }
程序中有连个G点,G1(11,4),G2(14,91);根据G1,G2分别生成P1和P2两个点。
完成计算后分别将带你的坐标p.x,p.y保存。
生成目标字符串和以计算出坐标为内容的字串,进行比对。
createString(&goalString, a1, *v11, v11[1], (int)v18); if ( stringCmp((int)&keyStringFromInput, a1, (int)&goalString) )// key 验证 sub_41186B("try again", v19); else sub_41186B("Congratulations~~", v19);
public class Q3CTF8 { static char [] result1 = {0x13,0x5E,0x79,0x05,0x74,0x49,0x29,0x37,0x02,0x5C,0x32,0x29,0x33,0x12}; static char key; public static void main(String[] args) { for(int k = 0;k<result1.length;k++) { key = result1[k]; for(int i =0;i<0xff;i++) { if(i*0x5A%127==key) { System.out.printf("%c",i); break; } } } } }
得到最终的key:Kanxue_2019_Q3