Elliptive Curve Cryptography using ALG_EC_FP

Hello

I am a beginner in this area.

I'm trying the key pair to generate ECC to sign and verify by using the program above, but with the ALG_EC_FP and the KeyBuilder size LENGTH_EC_FP_256. But it fails on the call to genKeyPair() with the return value of 1, indicating that its an illegal value. Can you please help me why I get this error?

I use 2.4.2 JCOP card of R2.

The classified, A, B, G, S, R, W, K, N values are as shown below.

Byte [] valA = {(byte) 0xFF, (byte) (byte), 0xFF 0xFF, (byte) 0xFF,}
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 01,.
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00,.
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00,.
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00,.
(byte) 0xFF, (byte) 0xFF, (byte) (byte), 0xFF 0xFF.
(byte) 0xFF, (byte) 0xFF, (byte) (byte), 0xFF 0xFF.
{(byte) 0xFF, (byte) (byte), 0xFF 0xFF, (byte) 0xFC};
Byte [] valFP = {(byte) 0xFF, (byte) (byte), 0xFF 0xFF, (byte) 0xFF,}
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 01,.
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00,.
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00,.
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00,.
(byte) 0xFF, (byte) 0xFF, (byte) (byte), 0xFF 0xFF.
(byte) 0xFF, (byte) 0xFF, (byte) (byte), 0xFF 0xFF.
{(byte) 0xFF, (byte) (byte), 0xFF 0xFF, (byte) 0xFF};
Byte [] valB = {(byte) 0x5A, (byte) 0xC6, (byte) 0 x 35, (byte) 0xDB,}
(byte) (byte), 0xAA 0x3A, (byte) 0 x 93, (byte) 0xE7,.
(byte) (bytes), 0xB3 0xEB, (byte) 0xBD, 0, (byte) x 55,.
(byte) 0 x 76, (byte) 0 x 98, (byte) 0 x 86, (byte) 0xBC.
(byte) 0 x 65, (byte) (byte) 0 0x1D x 06, (byte) 0xB0,.
(byte) 0xCC, (byte) 0 x 53, (byte) (byte), 0xB0 0xF6,
(byte) 0x3B (byte) 0xCE, (byte) (byte), 0x3C 0x3E,
{(byte) 0 x 27, (byte) (byte) 0 0xD2 x 60, (byte) 0x4B};
Choices of Byte [] = {(byte) 0 x 04, (byte) (byte) 0 0x6B x 17, (byte) 0xD1, (byte) 0xF2,}
(byte) (byte), 0xE1 0x2C, (byte) 0 x 42, (byte) 0 x 47,.
(byte) (byte), 0xF8 0xBC (bytes) 0xE6, (byte) 0xE5.
(byte) 0 x 63, (byte) (byte) 0 0xA4 x 40, (byte) 0xF2,.
(byte) 0 x 77, (byte) 0 x 03, (byte) 0x7D, (byte) 0 x 81,.
(byte) 0x2D, (byte) (byte) 0 0xEB x 33, (byte) 0xA0,
(byte) (byte), 0xF4 0xA1, (byte) 0 x 39, (byte) 0 x 45,
(byte) 0xD8, (byte) 0 x 98, (byte) (byte) 0 0xC2 x 96,
(byte) (byte), 0x4F 0xE3, (byte) 0 x 42, (byte) 0xE2.
(byte) 0xFE, (byte) 0x1A, (byte) (byte), 0x7F 0x9B,.
(byte) 0x8E, (byte) 0xE7, (byte) (byte), 0xEB 0x4A,
(byte) (byte), 0x7C 0x0F (bytes) 0x9E, (byte) 0 x 16,
(byte) (byte), 0x2B 0xCE, (byte) 0 x 33, (byte) 0 x 57,.
(byte) 0x6B (byte) 0 x 31, (byte) (byte), 0x5E 0xCE,.
(byte) (byte), 0xCB 0xB6, (byte) 0 x 40, (byte) 0 x 68,
{(byte) 0 x 37, (byte) (byte) 0 0xBF x 51, (byte) 0xF5};
Byte [] valN = {(byte) 0xFF, (byte) (byte), 0xFF 0xFF, (byte) 0xFF,}
(byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00, (byte) 0 x 00,.
(byte) 0xFF, (byte) 0xFF, (byte) (byte), 0xFF 0xFF.
(byte) 0xFF, (byte) 0xFF, (byte) (byte), 0xFF 0xFF.
(byte) 0xBC (bytes) 0xE6, (byte) (byte), 0xFA 0xAD,
(byte) 0xA7 (byte) 0 x 17, (byte) (byte) 0 0x9E x 84,
(byte) 0xF3 (bytes) 0xB9, (byte) (byte), 0xCA 0xC2,
{(byte) 0xFC, (byte) 0 x 63, (byte) 0 x 25, 0 (byte) x 51,};

Byte [] valW = {(byte) 0 x 04, (byte) 0x6B (byte) 0 x 17, (byte) (byte), 0xD1 0xF2,}
(byte) (byte), 0xE1 0x2C, (byte) 0 x 42, (byte) 0 x 47,.
(byte) (byte), 0xF8 0xBC (bytes) 0xE6, (byte) 0xE5.
(byte) 0 x 63, (byte) (byte) 0 0xA4 x 40, (byte) 0xF2,.
(byte) 0 x 77, (byte) 0 x 03, (byte) 0x7D, (byte) 0 x 81,.
(byte) 0x2D, (byte) (byte) 0 0xEB x 33, (byte) 0xA0,
(byte) (byte), 0xF4 0xA1, (byte) 0 x 39, (byte) 0 x 45,
(byte) 0xD8, (byte) 0 x 98, (byte) (byte) 0 0xC2 x 96,
(byte) (byte), 0x4F 0xE3, (byte) 0 x 42, (byte) 0xE2.
(byte) 0xFE, (byte) 0x1A, (byte) (byte), 0x7F 0x9B,.
(byte) 0x8E, (byte) 0xE7, (byte) (byte), 0xEB 0x4A,
(byte) (byte), 0x7C 0x0F (bytes) 0x9E, (byte) 0 x 16,
(byte) (byte), 0x2B 0xCE, (byte) 0 x 33, (byte) 0 x 57,.
(byte) 0x6B (byte) 0 x 31, (byte) (byte), 0x5E 0xCE,.
(byte) (byte), 0xCB 0xB6, (byte) 0 x 40, (byte) 0 x 68,
{(byte) 0 x 37, (byte) (byte) 0 0xBF x 51, (byte) 0xF5};
Byte [] valS = {(byte) (byte), 0xC4 0x9D, (byte) 0 x 36, (byte) 0 x 08,}
(byte) 0 x 86, (byte) 0xE7, (byte) 0 x 04, (byte) 0 x 93,.
(byte) 0x6A, (byte) 0 x 66, (byte) 0 x 78, (byte) 0xE1,.
(byte) 0 x 13, (bytes), 0x9D (byte) 0 x 26, (byte) 0xB7,.
{(byte) 0 x 81, (byte) (byte), 0x9F 0x7E, (byte) 0 x 90};
short k = 0 x 01 (short);

any help in this regard will be highly appreciated.
Thanks in advance
NARA

Example here of JCOP training

package com.nxp.id.test.ecc.gfp;

import javacard.framework.APDU;
import javacard.framework.Applet;
import javacard.framework.ISO7816;
import javacard.framework.ISOException;
import javacard.framework.JCSystem;
import javacard.framework.Util;
import javacard.security.CryptoException;
import javacard.security.ECKey;
import javacard.security.ECPrivateKey;
import javacard.security.ECPublicKey;
import javacard.security.KeyAgreement;
import javacard.security.KeyBuilder;
import javacard.security.KeyPair;
import javacard.security.Signature;

public class EccTest extends Applet {
     private static final short VERSION_INFO_MAJOR_MINOR = (short)0x0001;

     private short keyLength;
     private static final byte INS_SET_KEYLENGTH = (byte)0x01;
     private static final byte INS_SET_p = (byte)0x02;
     private static final byte INS_SET_A = (byte)0x03;
     private static final byte INS_SET_B = (byte)0x04;
     private static final byte INS_SET_P = (byte)0x05;
     private static final byte INS_SET_M = (byte)0x06;
     private static final byte INS_SET_T = (byte)0x07;
     private static final byte INS_SET_Q = (byte)0x08;
     private static final byte OBJECT_DELETION = (byte)0x0A;
     private static final byte DEFINE_KEY = (short)0x0B;
     private static final byte DO_KA_TEST = 0x0C;
     private static final byte DO_SIG_TEST = 0x0D;
     private static final byte DO_KEY_GEN = 0x0E;
     private static final byte DO_GET_POINT = 0x0F;

     private KeyPair keyPairECC;
     private KeyAgreement keyAgreement;
     private ECPrivateKey ecPrivateKey;
     private ECPublicKey ecPublicKey;
     private ECKey keyContext;
     private Signature sig;

    EccTest() {
        keyContext = ecPrivateKey; // initially
        sig = Signature.getInstance(Signature.ALG_ECDSA_SHA, false);
    }

     public static void install(byte[] bArray, short bOffset, byte bLength) {
          new EccTest().register(bArray, (short) (bOffset + 1), bArray[bOffset]);
     }

     public void process(APDU apdu) {
          byte[] buf = apdu.getBuffer();

          if (selectingApplet()) {
            Util.setShort(buf, (short) 0, VERSION_INFO_MAJOR_MINOR);
            apdu.setOutgoingAndSend((short) 0, (short) 2);
               return;
          }
          short publicPartLength =0;

          try {
               switch (buf[ISO7816.OFFSET_INS]) {
                    case DEFINE_KEY:
                         if (buf[ISO7816.OFFSET_CDATA] == (byte) 0x01)
                              keyContext = ecPublicKey;
                         else
                              keyContext = ecPrivateKey;
                         break;
                    case INS_SET_KEYLENGTH: // resets ECC keys with new key length
                         keyLength = Util.getShort(buf, ISO7816.OFFSET_CDATA);
                       keyPairECC = new KeyPair(KeyPair.ALG_EC_FP, keyLength);
                       ecPrivateKey = (ECPrivateKey) keyPairECC.getPrivate();
                       ecPublicKey = (ECPublicKey) keyPairECC.getPublic();
//                       keyPairECC.genKeyPair();
//                         keyLength = Util.getShort(buf, ISO7816.OFFSET_CDATA);
                         break;
                    case INS_SET_p:
                         keyContext.setFieldFP(buf, ISO7816.OFFSET_CDATA, buf[ISO7816.OFFSET_LC]);
                         break;

                    case INS_SET_A:
                         keyContext.setA(buf, ISO7816.OFFSET_CDATA, buf[ISO7816.OFFSET_LC]);
                         break;

                    case INS_SET_B:
                         keyContext.setB(buf, ISO7816.OFFSET_CDATA, buf[ISO7816.OFFSET_LC]);
                         break;

                    case INS_SET_P:
                         keyContext.setG(buf, ISO7816.OFFSET_CDATA, buf[ISO7816.OFFSET_LC]);
                         break;

                    case INS_SET_M:
                         keyContext.setR(buf, ISO7816.OFFSET_CDATA, buf[ISO7816.OFFSET_LC]);
                         break;

                    case INS_SET_T:
                         ((ECPrivateKey) keyContext).setS(buf, ISO7816.OFFSET_CDATA, buf[ISO7816.OFFSET_LC]);
                         break;
                    case INS_SET_Q:
                         ((ECPublicKey) keyContext).setW(buf, ISO7816.OFFSET_CDATA, buf[ISO7816.OFFSET_LC]);
                         break;
                    case OBJECT_DELETION:
                          if (JCSystem.isObjectDeletionSupported()) {
                               JCSystem.requestObjectDeletion();
                          }
                          break;
                    // key agreement example --> common secret
                    case DO_KA_TEST:
                         if(!ecPrivateKey.isInitialized())
                              ISOException.throwIt(ISO7816.SW_DATA_INVALID);
                         keyAgreement = KeyAgreement.getInstance(KeyAgreement.ALG_EC_SVDP_DH, false);
                         // APDU buffer organization: | 28 byte secret | 53 byte public |
                         // set EC private key
                         keyAgreement.init(ecPrivateKey);
                         // set public part (rest is same as private)
                         publicPartLength = ecPublicKey.getW(buf, (short) 20);
                         // generate common secret which can be used for key agreement
                         keyAgreement.generateSecret(buf, (short) 20, publicPartLength, buf, (short) 0);
                         // output common secret
                         apdu.setOutgoingAndSend((short) 0, (short) 20);
                         break;
                    case DO_KEY_GEN:
                    try {
                         keyPairECC.genKeyPair();
                    } catch (CryptoException e) {
                         ISOException.throwIt((short) (ISO7816.SW_UNKNOWN | e.getReason()));
                    }
                         break;
                    case DO_SIG_TEST:
                         // TASK
                         sig.init(ecPrivateKey, Signature.MODE_SIGN);
                         // ..
                         break;
                    case DO_GET_POINT:
                         short responseLength;
                         if(buf[ISO7816.OFFSET_P1] == (byte)0x01){
                              responseLength = ecPublicKey.getW(buf, (short) 0);
                         } else {
                              responseLength = ecPrivateKey.getS(buf, (short) 0);
                         }
                         apdu.setOutgoingAndSend((short) 0, responseLength);
                         break;
                    default:
                         ISOException.throwIt(ISO7816.SW_INS_NOT_SUPPORTED);
               }
          } catch (CryptoException ce) {
               ISOException.throwIt((short) (ISO7816.SW_UNKNOWN | ce.getReason()));
          }
     }
}

and the script

/select |eccGfpApp
# set key length to 256 bits
/send 80010000020100

# select EC public key, bp_256r1
/send 800B00000101 9000

# populate p == FP
/send 80020000#(A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377) 9000

# populate a == A
/send 80030000#(7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9) 9000

# populate b == B
/send 80040000#(26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6) 9000

# populate G == P
/send 80050000#(048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997) 9000

# populate m == R
/send 80060000#(A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7) 9000

# populate W == Q
#/send 80080000#(049FCDB28D12F0550D7053D6E4AC6BB848BD4A881DD3007AF18B156DB307733A2E3965BC1F479293DD48E7BD294BBFE3D5679D795630CDAEEBCD8AC909C6A2410A) 9000

# select EC private key
/send 800B00000102 9000

# populate p == FP
/send 80020000#(A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377) 9000

# populate a == A
/send 80030000#(7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9) 9000

# populate b == B
/send 80040000#(26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6) 9000

# populate P == P
/send 80050000#(048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997) 9000

# populate m == M
/send 80060000#(A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7) 9000

# populate S == T
#/send 80070000#(346EF57569A83AD0DEF40DA12858B6870F4031ABD61052A02F38C37A44FD0E6B) 9000

# test key agreement, output is the shared secret
#/send 800C0000 *9000

# on-card key generation
/send 800E0000 9000

/send 800F010000 *9000
/send 800F020000 *9000

and the newspaper run on JCOP 2.4.2 R2

/select |eccGfpApp
 => 00 A4 04 00 09 65 63 63 47 66 70 41 70 70 00       .....eccGfpApp.
 (265197 nsec)
 <= 00 01 90 00                                        ....
Status: No Error
/send 80010000020100
 => 80 01 00 00 02 01 00                               .......
 (1172 usec)
 <= 90 00                                              ..
Status: No Error
/send 800B00000101 9000
 => 80 0B 00 00 01 01                                  ......
 (308301 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80020000#(A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377) 9000
 => 80 02 00 00 20 A9 FB 57 DB A1 EE A9 BC 3E 66 0A    .... ..W.....>f.
    90 9D 83 8D 72 6E 3B F6 23 D5 26 20 28 20 13 48    ....rn;.#.& ( .H
    1D 1F 6E 53 77                                     ..nSw
 (333754 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80030000#(7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9) 9000
 => 80 03 00 00 20 7D 5A 09 75 FC 2C 30 57 EE F6 75    .... }Z.u.,0W..u
    30 41 7A FF E7 FB 80 55 C1 26 DC 5C 6C E9 4A 4B    0Az....U.&.\l.JK
    44 F3 30 B5 D9                                     D.0..
 (284492 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80040000#(26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6) 9000
 => 80 04 00 00 20 26 DC 5C 6C E9 4A 4B 44 F3 30 B5    .... &.\l.JKD.0.
    D9 BB D7 7C BF 95 84 16 29 5C F7 E1 CE 6B CC DC    ...|....)\...k..
    18 FF 8C 07 B6                                     .....
 (263555 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80050000#(048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997) 9000
 => 80 05 00 00 41 04 8B D2 AE B9 CB 7E 57 CB 2C 4B    ....A......~W.,K
    48 2F FC 81 B7 AF B9 DE 27 E1 E3 BD 23 C2 3A 44    H/......'...#.:D
    53 BD 9A CE 32 62 54 7E F8 35 C3 DA C4 FD 97 F8    S...2bT~.5......
    46 1A 14 61 1D C9 C2 77 45 13 2D ED 8E 54 5C 1D    F..a...wE.-..T\.
    54 C7 2F 04 69 97                                  T./.i.
 (259860 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80060000#(A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7) 9000
 => 80 06 00 00 20 A9 FB 57 DB A1 EE A9 BC 3E 66 0A    .... ..W.....>f.
    90 9D 83 8D 71 8C 39 7A A3 B5 61 A6 F7 90 1E 0E    ....q.9z..a.....
    82 97 48 56 A7                                     ..HV.
 (770548 nsec)
 <= 90 00                                              ..
Status: No Error
/send 800B00000102 9000
 => 80 0B 00 00 01 02                                  ......
 (189250 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80020000#(A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377) 9000
 => 80 02 00 00 20 A9 FB 57 DB A1 EE A9 BC 3E 66 0A    .... ..W.....>f.
    90 9D 83 8D 72 6E 3B F6 23 D5 26 20 28 20 13 48    ....rn;.#.& ( .H
    1D 1F 6E 53 77                                     ..nSw
 (366596 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80030000#(7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9) 9000
 => 80 03 00 00 20 7D 5A 09 75 FC 2C 30 57 EE F6 75    .... }Z.u.,0W..u
    30 41 7A FF E7 FB 80 55 C1 26 DC 5C 6C E9 4A 4B    0Az....U.&.\l.JK
    44 F3 30 B5 D9                                     D.0..
 (250829 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80040000#(26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6) 9000
 => 80 04 00 00 20 26 DC 5C 6C E9 4A 4B 44 F3 30 B5    .... &.\l.JKD.0.
    D9 BB D7 7C BF 95 84 16 29 5C F7 E1 CE 6B CC DC    ...|....)\...k..
    18 FF 8C 07 B6                                     .....
 (439668 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80050000#(048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997) 9000
 => 80 05 00 00 41 04 8B D2 AE B9 CB 7E 57 CB 2C 4B    ....A......~W.,K
    48 2F FC 81 B7 AF B9 DE 27 E1 E3 BD 23 C2 3A 44    H/......'...#.:D
    53 BD 9A CE 32 62 54 7E F8 35 C3 DA C4 FD 97 F8    S...2bT~.5......
    46 1A 14 61 1D C9 C2 77 45 13 2D ED 8E 54 5C 1D    F..a...wE.-..T\.
    54 C7 2F 04 69 97                                  T./.i.
 (409290 nsec)
 <= 90 00                                              ..
Status: No Error
/send 80060000#(A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7) 9000
 => 80 06 00 00 20 A9 FB 57 DB A1 EE A9 BC 3E 66 0A    .... ..W.....>f.
    90 9D 83 8D 71 8C 39 7A A3 B5 61 A6 F7 90 1E 0E    ....q.9z..a.....
    82 97 48 56 A7                                     ..HV.
 (273408 nsec)
 <= 90 00                                              ..
Status: No Error
/send 800E0000 9000
 => 80 0E 00 00                                        ....
 (3320 msec)
 <= 90 00                                              ..
Status: No Error
/send 800F010000 *9000
 => 80 0F 01 00 00                                     .....
 (5311 msec)
 <= 04 5D DD 76 03 F2 E8 E0 51 83 57 8B D8 6E 2B 31    .].v....Q.W..n+1
    A1 7C 1F CB 9B 67 3F 2A C9 02 6C F6 B6 98 83 CD    .|...g?*..l.....
    5D 23 5A 85 E7 5D C8 C3 E2 A2 8F EB 34 8D 11 0F    ]#Z..]......4...
    29 00 79 A8 64 47 B4 13 94 53 DD 8D F3 FA D6 83    ).y.dG...S......
    E1 90 00                                           ...
Status: No Error
/send 800F020000 *9000
 => 80 0F 02 00 00                                     .....
 (6416 msec)
 <= 7B F1 87 B3 8E 79 F2 1D B9 6A CA 02 FB 7F 80 C8    {....y...j......
    27 15 6F F9 EC 88 C9 E3 51 FB AD DB 51 58 84 B6    '.o.....Q...QX..
    90 00                                              ..
Status: No Error

Tags: Java

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