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-rw-r--r--src/cz/crcs/ectester/applet/ECTesterApplet.java88
-rw-r--r--src/cz/crcs/ectester/applet/EC_Consts.java19
-rw-r--r--src/cz/crcs/ectester/reader/Command.java59
-rw-r--r--src/cz/crcs/ectester/reader/ECTester.java18
-rw-r--r--src/cz/crcs/ectester/reader/Response.java51
-rw-r--r--src/cz/crcs/ectester/reader/Util.java32
6 files changed, 205 insertions, 62 deletions
diff --git a/src/cz/crcs/ectester/applet/ECTesterApplet.java b/src/cz/crcs/ectester/applet/ECTesterApplet.java
index 323b971..6623647 100644
--- a/src/cz/crcs/ectester/applet/ECTesterApplet.java
+++ b/src/cz/crcs/ectester/applet/ECTesterApplet.java
@@ -46,10 +46,11 @@ public class ECTesterApplet extends Applet {
public static final byte INS_ALLOCATE = (byte) 0x5a;
public static final byte INS_CLEAR = (byte) 0x5b;
public static final byte INS_SET = (byte) 0x5c;
- public static final byte INS_GENERATE = (byte) 0x5d;
- public static final byte INS_EXPORT = (byte) 0x5e;
- public static final byte INS_ECDH = (byte) 0x5f;
- public static final byte INS_ECDSA = (byte) 0x60;
+ public static final byte INS_CORRUPT = (byte) 0x5d;
+ public static final byte INS_GENERATE = (byte) 0x5e;
+ public static final byte INS_EXPORT = (byte) 0x5f;
+ public static final byte INS_ECDH = (byte) 0x60;
+ public static final byte INS_ECDSA = (byte) 0x61;
// PARAMETERS for P1 and P2
public static final byte KEYPAIR_LOCAL = (byte) 0x01;
@@ -132,6 +133,9 @@ public class ECTesterApplet extends Applet {
case INS_SET:
insSet(apdu);
break;
+ case INS_CORRUPT:
+ insCorrupt(apdu);
+ break;
case INS_GENERATE:
insGenerate(apdu);
break;
@@ -199,13 +203,11 @@ public class ECTesterApplet extends Applet {
/**
* Sets curve parameters on local and remote keyPairs.
- * returns setCurve SWs, set params if export
+ * returns setCurve SWs
*
* @param apdu P1 = byte keyPair (KEYPAIR_* | ...)
* P2 = byte curve (EC_Consts.CURVE_*)
* DATA = short params (EC_Consts.PARAMETER_* | ...)
- * short corruptedParams (EC_Consts.PARAMETER_* | ...)
- * byte corruptionType (EC_Consts.CORRUPTION_*)
* <p>
* if curveID = CURVE_EXTERNAL:
* [short paramLength, byte[] param],
@@ -219,16 +221,44 @@ public class ECTesterApplet extends Applet {
byte keyPair = apdubuf[ISO7816.OFFSET_P1];
byte curve = apdubuf[ISO7816.OFFSET_P2];
short params = Util.getShort(apdubuf, ISO7816.OFFSET_CDATA);
- short corruptedParams = Util.getShort(apdubuf, (short) (ISO7816.OFFSET_CDATA + 2));
- byte corruptionType = apdubuf[(short) (ISO7816.OFFSET_CDATA + 4)];
short len = 0;
if ((keyPair & KEYPAIR_LOCAL) != 0) {
- len += set(localKeypair, curve, params, corruptedParams, corruptionType, apdubuf, (short) (ISO7816.OFFSET_CDATA + 5), (short) 0);
+ len += set(localKeypair, curve, params, apdubuf, (short) (ISO7816.OFFSET_CDATA + 2), (short) 0);
+ }
+ if ((keyPair & KEYPAIR_REMOTE) != 0) {
+ len += set(remoteKeypair, curve, params, apdubuf, (short) (ISO7816.OFFSET_CDATA + 2), len);
+ }
+
+ apdu.setOutgoingAndSend((short) 0, len);
+ }
+
+ /**
+ * Corrupts curve paramaters of local and remote keyPairs.
+ * returns corruptCurve SWs
+ *
+ * @param apdu P1 = byte keyPair (KEYPAIR_* | ...)
+ * P2 = byte key (EC_Consts.KEY_* | ...)
+ * DATA = short params (EC_Consts.PARAMETER_* | ...)
+ * byte corruption (EC_Consts.CORRUPTION_* || ...)
+ */
+ private void insCorrupt(APDU apdu) {
+ apdu.setIncomingAndReceive();
+ byte[] apdubuf = apdu.getBuffer();
+
+ byte keyPair = apdubuf[ISO7816.OFFSET_P1];
+ byte key = apdubuf[ISO7816.OFFSET_P2];
+ short params = Util.getShort(apdubuf, ISO7816.OFFSET_CDATA);
+ byte corruption = apdubuf[(short) (ISO7816.OFFSET_CDATA + 2)];
+
+ short len = 0;
+ if ((keyPair & KEYPAIR_LOCAL) != 0) {
+ len += corrupt(localKeypair, key, params, corruption, apdubuf, (short) 0);
}
+
if ((keyPair & KEYPAIR_REMOTE) != 0) {
- len += set(remoteKeypair, curve, params, corruptedParams, corruptionType, apdubuf, (short) (ISO7816.OFFSET_CDATA + 5), len);
+ len += corrupt(remoteKeypair, key, params, corruption, apdubuf, len);
}
apdu.setOutgoingAndSend((short) 0, len);
@@ -236,7 +266,7 @@ public class ECTesterApplet extends Applet {
/**
* Generates the local and remote keyPairs.
- * returns generate SWs, pubkey and privkey if export
+ * returns generate SWs
*
* @param apdu P1 = byte keyPair (KEYPAIR_* | ...)
* P2 =
@@ -376,17 +406,15 @@ public class ECTesterApplet extends Applet {
}
/**
- * @param keyPair KeyPair to set params on
- * @param curve curve to set (EC_Consts.CURVE_*)
- * @param params parameters to set (EC_Consts.PARAMETER_* | ...)
- * @param corrupted parameters to corrupt (EC_Consts.PARAMETER_* | ...)
- * @param corruption corruption type (EC_Consts.CORRUPTION_*)
- * @param buffer buffer to read params from and write sw to
- * @param inOffset input offset in buffer
- * @param outOffset output offset in buffer
+ * @param keyPair KeyPair to set params on
+ * @param curve curve to set (EC_Consts.CURVE_*)
+ * @param params parameters to set (EC_Consts.PARAMETER_* | ...)
+ * @param buffer buffer to read params from and write sw to
+ * @param inOffset input offset in buffer
+ * @param outOffset output offset in buffer
* @return length of data written to the buffer
*/
- private short set(KeyPair keyPair, byte curve, short params, short corrupted, byte corruption, byte[] buffer, short inOffset, short outOffset) {
+ private short set(KeyPair keyPair, byte curve, short params, byte[] buffer, short inOffset, short outOffset) {
short sw = ISO7816.SW_NO_ERROR;
switch (curve) {
@@ -403,13 +431,27 @@ public class ECTesterApplet extends Applet {
break;
}
- if (sw == ISO7816.SW_NO_ERROR)
- sw = keyGenerator.corruptCurve(keyPair, corrupted, corruption, ramArray, (short) 0);
Util.setShort(buffer, outOffset, sw);
return 2;
}
/**
+ *
+ * @param keyPair KeyPair to corrupt
+ * @param key key to corrupt (EC_Consts.KEY_* | ...)
+ * @param params parameters to corrupt (EC_Consts.PARAMETER_* | ...)
+ * @param corruption corruption type (EC_Consts.CORRUPTION_*)
+ * @param buffer buffer to output sw to
+ * @param offset output offset in buffer
+ * @return length of data written to the buffer
+ */
+ private short corrupt(KeyPair keyPair, byte key, short params, byte corruption, byte[] buffer, short offset) {
+ short sw = keyGenerator.corruptCurve(keyPair, key, params, corruption, ramArray, (short) 0);
+ Util.setShort(buffer, offset, sw);
+ return 2;
+ }
+
+ /**
* @param keyPair KeyPair to generate
* @param buffer buffer to write sw to
* @param offset output offset in buffer
diff --git a/src/cz/crcs/ectester/applet/EC_Consts.java b/src/cz/crcs/ectester/applet/EC_Consts.java
index fc62c67..68fb4c9 100644
--- a/src/cz/crcs/ectester/applet/EC_Consts.java
+++ b/src/cz/crcs/ectester/applet/EC_Consts.java
@@ -947,6 +947,7 @@ public class EC_Consts {
public static final byte CORRUPTION_ONEBYTERANDOM = (byte) 0x03;
public static final byte CORRUPTION_ZERO = (byte) 0x04;
public static final byte CORRUPTION_ONE = (byte) 0x05;
+ public static final byte CORRUPTION_INCREMENT = (byte) 0x06;
// Supported embedded curves, getCurveParameter
@@ -1269,18 +1270,16 @@ public class EC_Consts {
case CORRUPTION_ONE:
Util.arrayFillNonAtomic(buffer, offset, length, (byte) 1);
break;
+ case CORRUPTION_INCREMENT:
+ short index = (short) (offset + length - 1);
+ byte value;
+ do {
+ value = buffer[index];
+ buffer[index--] = ++value;
+ } while (value == (byte) 0 && index >= offset);
+ break;
default:
ISOException.throwIt(ISO7816.SW_FUNC_NOT_SUPPORTED);
- /* //TODO implement CORRUPT_B_LASTBYTEINCREMENT somehow
- case CORRUPT_B_LASTBYTEINCREMENT:
- m_ramArray2[(short) (m_lenB - 1)] += 1;
- // Make sure its not the valid byte again
- if (m_ramArray[(short) (m_lenB - 1)] == m_ramArray2[(short) (m_lenB - 1)]) {
- m_ramArray2[(short) (m_lenB - 1)] += 1; // if yes, increment once more
- }
- break;
- }
- */
}
}
diff --git a/src/cz/crcs/ectester/reader/Command.java b/src/cz/crcs/ectester/reader/Command.java
index c6ce2b5..cb2321a 100644
--- a/src/cz/crcs/ectester/reader/Command.java
+++ b/src/cz/crcs/ectester/reader/Command.java
@@ -75,6 +75,10 @@ public abstract class Command {
public static class Clear extends Command {
private byte keyPair;
+ /**
+ * @param cardManager
+ * @param keyPair which keyPair clear, local/remote (KEYPAIR_* || ...)
+ */
public Clear(CardMngr cardManager, byte keyPair) {
super(cardManager);
this.keyPair = keyPair;
@@ -98,8 +102,6 @@ public abstract class Command {
private byte keyPair;
private byte curve;
private short params;
- private short corrupted;
- private byte corruption;
private byte[] external;
/**
@@ -109,26 +111,20 @@ public abstract class Command {
* @param keyPair which keyPair to set params on, local/remote (KEYPAIR_* || ...)
* @param curve curve to set (EC_Consts.CURVE_*)
* @param params parameters to set (EC_Consts.PARAMETER_* | ...)
- * @param corrupted parameters to corrupt (EC_Consts.PARAMETER_* | ...)
- * @param corruption corruption type (EC_Consts.CORRUPTION_*)
* @param external external curve data, can be null
*/
- public Set(CardMngr cardManager, byte keyPair, byte curve, short params, short corrupted, byte corruption, byte[] external) {
+ public Set(CardMngr cardManager, byte keyPair, byte curve, short params, byte[] external) {
super(cardManager);
this.keyPair = keyPair;
this.curve = curve;
this.params = params;
- this.corrupted = corrupted;
- this.corruption = corruption;
this.external = external;
- int len = external != null ? 5 + 2 + external.length : 5;
+ int len = external != null ? 2 + external.length : 2;
byte[] data = new byte[len];
Util.setShort(data, 0, params);
- Util.setShort(data, 2, corrupted);
- data[4] = corruption;
if (external != null) {
- System.arraycopy(external, 0, data, 5, external.length);
+ System.arraycopy(external, 0, data, 2, external.length);
}
this.cmd = new CommandAPDU(ECTesterApplet.CLA_ECTESTERAPPLET, ECTesterApplet.INS_SET, keyPair, curve, data);
@@ -139,7 +135,46 @@ public abstract class Command {
long elapsed = -System.nanoTime();
ResponseAPDU response = cardManager.send(cmd);
elapsed += System.nanoTime();
- return new Response.Set(response, elapsed, keyPair, curve, params, corrupted);
+ return new Response.Set(response, elapsed, keyPair, curve, params);
+ }
+ }
+
+ /**
+ *
+ */
+ public static class Corrupt extends Command {
+ private byte keyPair;
+ private byte key;
+ private short params;
+ private byte corruption;
+
+ /**
+ * @param cardManager
+ * @param keyPair which keyPair to corrupt, local/remote (KEYPAIR_* || ...)
+ * @param key
+ * @param params parameters to corrupt (EC_Consts.PARAMETER_* | ...)
+ * @param corruption corruption type (EC_Consts.CORRUPTION_*)
+ */
+ protected Corrupt(CardMngr cardManager, byte keyPair, byte key, short params, byte corruption) {
+ super(cardManager);
+ this.keyPair = keyPair;
+ this.key = key;
+ this.params = params;
+ this.corruption = corruption;
+
+ byte[] data = new byte[3];
+ Util.setShort(data, 0, params);
+ data[2] = corruption;
+
+ this.cmd = new CommandAPDU(ECTesterApplet.CLA_ECTESTERAPPLET, ECTesterApplet.INS_CORRUPT, keyPair, key, data);
+ }
+
+ @Override
+ public Response.Corrupt send() throws CardException {
+ long elapsed = -System.nanoTime();
+ ResponseAPDU response = cardManager.send(cmd);
+ elapsed += System.nanoTime();
+ return new Response.Corrupt(response, elapsed, keyPair, key, params, corruption);
}
}
diff --git a/src/cz/crcs/ectester/reader/ECTester.java b/src/cz/crcs/ectester/reader/ECTester.java
index 86588df..35982d7 100644
--- a/src/cz/crcs/ectester/reader/ECTester.java
+++ b/src/cz/crcs/ectester/reader/ECTester.java
@@ -233,14 +233,14 @@ public class ECTester {
opts.addOptionGroup(actions);
OptionGroup size = new OptionGroup();
- size.addOption(Option.builder("b").longOpt("bit-size").desc("Set curve size.").hasArg().argName("b").build());
+ size.addOption(Option.builder("b").longOpt("bit-size").desc("Set curve size.").hasArg().argName("bits").build());
size.addOption(Option.builder("a").longOpt("all").desc("Test all curve sizes.").build());
opts.addOptionGroup(size);
OptionGroup curve = new OptionGroup();
curve.addOption(Option.builder("n").longOpt("named").desc("Use a named curve.").hasArg().argName("cat/id").build());
curve.addOption(Option.builder("c").longOpt("curve").desc("Use curve from file [curve_file] (field,a,b,gx,gy,r,k).").hasArg().argName("curve_file").build());
- curve.addOption(Option.builder("u").longOpt("custom").desc("Use a custom curve(applet-side embedded, SECG curves).").build());
+ curve.addOption(Option.builder("u").longOpt("custom").desc("Use a custom curve(applet-side embedded, SECG curvgites).").build());
opts.addOptionGroup(curve);
opts.addOption(Option.builder("fp").longOpt("prime-field").desc("Use prime field curve.").build());
@@ -257,7 +257,7 @@ public class ECTester {
opts.addOptionGroup(priv);
OptionGroup key = new OptionGroup();
- key.addOption(Option.builder("nk").longOpt("named-key").desc("Use keyPair from KeyDB: [cat/id|id|cat]").hasArg().argName("[cat/id|id|cat]").build());
+ key.addOption(Option.builder("nk").longOpt("named-key").desc("Use keyPair from KeyDB: [cat/id]").hasArg().argName("cat/id").build());
key.addOption(Option.builder("k").longOpt("key").desc("Use keyPair from file [key_file] (wx,wy,s).").hasArg().argName("key_file").build());
opts.addOptionGroup(key);
@@ -529,7 +529,7 @@ public class ECTester {
if (curve.getField() == KeyPair.ALG_EC_FP) {
commands.add(new Command.Allocate(cardManager, ECTesterApplet.KEYPAIR_BOTH, curve.getBits(), KeyPair.ALG_EC_FP));
byte[] external = curve.flatten();
- commands.add(new Command.Set(cardManager, ECTesterApplet.KEYPAIR_BOTH, EC_Consts.CURVE_external, curve.getParams(), EC_Consts.PARAMETERS_NONE, EC_Consts.CORRUPTION_NONE, external));
+ commands.add(new Command.Set(cardManager, ECTesterApplet.KEYPAIR_BOTH, EC_Consts.CURVE_external, curve.getParams(), external));
commands.addAll(testCurve());
}
}
@@ -540,7 +540,7 @@ public class ECTester {
if (curve.getField() == KeyPair.ALG_EC_F2M) {
commands.add(new Command.Allocate(cardManager, ECTesterApplet.KEYPAIR_BOTH, curve.getBits(), KeyPair.ALG_EC_F2M));
byte[] external = curve.flatten();
- commands.add(new Command.Set(cardManager, ECTesterApplet.KEYPAIR_BOTH, EC_Consts.CURVE_external, curve.getParams(), EC_Consts.PARAMETERS_NONE, EC_Consts.CORRUPTION_NONE, external));
+ commands.add(new Command.Set(cardManager, ECTesterApplet.KEYPAIR_BOTH, EC_Consts.CURVE_external, curve.getParams(), external));
commands.addAll(testCurve());
}
}
@@ -719,7 +719,7 @@ public class ECTester {
short domainParams = keyClass == KeyPair.ALG_EC_FP ? EC_Consts.PARAMETERS_DOMAIN_FP : EC_Consts.PARAMETERS_DOMAIN_F2M;
if (optCustomCurve) {
// Set custom curve (one of the SECG curves embedded applet-side)
- commands.add(new Command.Set(cardManager, keyPair, EC_Consts.getCurve(keyLength, keyClass), domainParams, EC_Consts.PARAMETERS_NONE, EC_Consts.CORRUPTION_NONE, null));
+ commands.add(new Command.Set(cardManager, keyPair, EC_Consts.getCurve(keyLength, keyClass), domainParams, null));
} else if (optNamedCurve != null) {
// Set a named curve.
// parse optNamedCurve -> cat / id | cat | id
@@ -735,7 +735,7 @@ public class ECTester {
if (external == null) {
throw new IOException("Couldn't read named curve data.");
}
- commands.add(new Command.Set(cardManager, keyPair, EC_Consts.CURVE_external, domainParams, EC_Consts.PARAMETERS_NONE, EC_Consts.CORRUPTION_NONE, external));
+ commands.add(new Command.Set(cardManager, keyPair, EC_Consts.CURVE_external, domainParams, external));
} else if (optCurveFile != null) {
// Set curve loaded from a file
EC_Params params = new EC_Params(domainParams);
@@ -748,7 +748,7 @@ public class ECTester {
if (external == null) {
throw new IOException("Couldn't read the curve file correctly.");
}
- commands.add(new Command.Set(cardManager, keyPair, EC_Consts.CURVE_external, domainParams, EC_Consts.PARAMETERS_NONE, EC_Consts.CORRUPTION_NONE, external));
+ commands.add(new Command.Set(cardManager, keyPair, EC_Consts.CURVE_external, domainParams, external));
} else {
// Set default curve
commands.add(new Command.Clear(cardManager, keyPair));
@@ -823,7 +823,7 @@ public class ECTester {
}
data = Util.concatenate(data, privkey);
}
- return new Command.Set(cardManager, keyPair, EC_Consts.CURVE_external, params, EC_Consts.PARAMETERS_NONE, EC_Consts.CORRUPTION_NONE, data);
+ return new Command.Set(cardManager, keyPair, EC_Consts.CURVE_external, params, data);
}
/**
diff --git a/src/cz/crcs/ectester/reader/Response.java b/src/cz/crcs/ectester/reader/Response.java
index e76d35c..25b5817 100644
--- a/src/cz/crcs/ectester/reader/Response.java
+++ b/src/cz/crcs/ectester/reader/Response.java
@@ -129,7 +129,7 @@ public abstract class Response {
} else {
suffix = String.format("%s %s", Util.getPrintError(r.getSW1()), Util.getPrintError(r.getSW2()));
}
- out.append(String.format("%-55s:%5d ms : %s", message, r.time/1000000, suffix));
+ out.append(String.format("%-55s:%5d ms : %s", message, r.time / 1000000, suffix));
if (i < responses.size() - 1) {
out.append("\n");
}
@@ -202,14 +202,12 @@ public abstract class Response {
private byte keyPair;
private byte curve;
private short parameters;
- private short corrupted;
- protected Set(ResponseAPDU response, long time, byte keyPair, byte curve, short parameters, short corrupted) {
+ protected Set(ResponseAPDU response, long time, byte keyPair, byte curve, short parameters) {
super(response, time);
this.keyPair = keyPair;
this.curve = curve;
this.parameters = parameters;
- this.corrupted = corrupted;
int pairs = 0;
if ((keyPair & ECTesterApplet.KEYPAIR_LOCAL) != 0) pairs++;
@@ -232,13 +230,13 @@ public abstract class Response {
name = "custom";
break;
}
- String key;
+ String pair;
if (keyPair == ECTesterApplet.KEYPAIR_BOTH) {
- key = "both keypairs";
+ pair = "both keypairs";
} else {
- key = ((keyPair == ECTesterApplet.KEYPAIR_LOCAL) ? "local" : "remote") + " keypair";
+ pair = ((keyPair == ECTesterApplet.KEYPAIR_LOCAL) ? "local" : "remote") + " keypair";
}
- return String.format("Set %s curve parameters on %s", name, key);
+ return String.format("Set %s curve parameters on %s", name, pair);
}
}
@@ -246,6 +244,43 @@ public abstract class Response {
/**
*
*/
+ public static class Corrupt extends Response {
+ private byte keyPair;
+ private byte key;
+ private short params;
+ private byte corruption;
+
+ protected Corrupt(ResponseAPDU response, long time, byte keyPair, byte key, short params, byte corruption) {
+ super(response, time);
+ this.keyPair = keyPair;
+ this.key = key;
+ this.params = params;
+ this.corruption = corruption;
+
+ int pairs = 0;
+ if ((keyPair & ECTesterApplet.KEYPAIR_LOCAL) != 0) pairs++;
+ if ((keyPair & ECTesterApplet.KEYPAIR_REMOTE) != 0) pairs++;
+
+ parse(pairs, 0);
+ }
+
+ @Override
+ public String toString() {
+ String corrupt = Util.getCorruption(corruption);
+
+ String pair;
+ if (keyPair == ECTesterApplet.KEYPAIR_BOTH) {
+ pair = "both keypairs";
+ } else {
+ pair = ((keyPair == ECTesterApplet.KEYPAIR_LOCAL) ? "local" : "remote") + " keypair";
+ }
+ return String.format("Corrupted params of %s, %s", pair, corrupt);
+ }
+ }
+
+ /**
+ *
+ */
public static class Generate extends Response {
private byte keyPair;
diff --git a/src/cz/crcs/ectester/reader/Util.java b/src/cz/crcs/ectester/reader/Util.java
index e297ab1..91a34d7 100644
--- a/src/cz/crcs/ectester/reader/Util.java
+++ b/src/cz/crcs/ectester/reader/Util.java
@@ -1,6 +1,7 @@
package cz.crcs.ectester.reader;
import cz.crcs.ectester.applet.ECTesterApplet;
+import cz.crcs.ectester.applet.EC_Consts;
import javacard.framework.ISO7816;
import javacard.security.CryptoException;
@@ -130,4 +131,35 @@ public class Util {
return String.format("fail\t(%s,\t0x%04x)", codeStr, code);
}
}
+
+ public static String getCorruption(byte corruptionType) {
+ String corrupt;
+ switch (corruptionType) {
+ case EC_Consts.CORRUPTION_NONE:
+ corrupt = "NONE";
+ break;
+ case EC_Consts.CORRUPTION_FIXED:
+ corrupt = "FIXED";
+ break;
+ case EC_Consts.CORRUPTION_ONE:
+ corrupt = "ONE";
+ break;
+ case EC_Consts.CORRUPTION_ZERO:
+ corrupt = "ZERO";
+ break;
+ case EC_Consts.CORRUPTION_ONEBYTERANDOM:
+ corrupt = "ONE_BYTE_RANDOM";
+ break;
+ case EC_Consts.CORRUPTION_FULLRANDOM:
+ corrupt = "FULL_RANDOM";
+ break;
+ case EC_Consts.CORRUPTION_INCREMENT:
+ corrupt = "INCREMENT";
+ break;
+ default:
+ corrupt = "UNKNOWN";
+ break;
+ }
+ return corrupt;
+ }
}
generated by cgit v1.2.3-70-g09d2 (git 2.51.2) at 2025-11-08 21:45:11 +0000