diff --git a/lib/aliases.js b/lib/aliases.js
new file mode 100644
index 0000000..3b21ad7
--- /dev/null
+++ b/lib/aliases.js
@@ -0,0 +1,8 @@
+module.exports = {
+  p192: 'prime192v1',
+  p224: 'secp224r1',
+  p256: 'prime256v1',
+  p384: 'secp384r1',
+  p521: 'secp521r1'
+}
+
diff --git a/lib/curves.js b/lib/curves.js
new file mode 100644
index 0000000..5ccb872
--- /dev/null
+++ b/lib/curves.js
@@ -0,0 +1,45 @@
+
+var EC = require('elliptic').ec
+var aliases = require('./aliases')
+var parameters = {
+    secp256k1: [1, 3, 132, 0, 10],
+    p192: [1, 2, 840, 10045, 3, 1, 1],
+    p224: [1, 3, 132, 0, 33],
+    p256: [1, 2, 840, 10045, 3, 1, 7],
+    p384: [1, 3, 132, 0, 34],
+    p521: [1, 3, 132, 0, 35]
+}
+
+function toCurves (parameters) {
+  var curves = {}
+  Object.keys(parameters).forEach(function (curve) {
+    var cParams
+    // be lazy
+    Object.defineProperty(curves, curve, {
+      get: function () {
+        if (!cParams) {
+          cParams = {
+            curveParameters: parameters[curve],
+            privatePEMOptions: {label: 'EC PRIVATE KEY'},
+            publicPEMOptions: {label: 'PUBLIC KEY'},
+            curve: new EC(curve)
+          }
+        }
+
+        return cParams
+      }
+    })
+
+    if (aliases[curve]) {
+      Object.defineProperty(curves, aliases[curve], {
+        get: function () {
+          return curves[curve]
+        }
+      })
+    }
+  })
+
+  return curves
+}
+
+module.exports = toCurves(parameters)
diff --git a/lib/key-encoder.js b/lib/key-encoder.js
index 286e522..2b4aa38 100644
--- a/lib/key-encoder.js
+++ b/lib/key-encoder.js
@@ -2,7 +2,8 @@
 
 var asn1 = require('asn1.js'),
     BN = require('bn.js'),
-    EC = require('elliptic').ec
+    curves = require('./curves'),
+    aliases = require('./aliases')
 
 var ECPrivateKeyASN = asn1.define('ECPrivateKey', function() {
     this.seq().obj(
@@ -23,15 +24,6 @@ var SubjectPublicKeyInfoASN = asn1.define('SubjectPublicKeyInfo', function() {
     )
 })
 
-var curves = {
-    secp256k1: {
-        curveParameters: [1, 3, 132, 0, 10],
-        privatePEMOptions: {label: 'EC PRIVATE KEY'},
-        publicPEMOptions: {label: 'PUBLIC KEY'},
-        curve: new EC('secp256k1')
-    }
-}
-
 function assert(val, msg) {
     if (!val) {
         throw new Error(msg || 'Assertion failed')
@@ -47,6 +39,8 @@ function KeyEncoder(options) {
     this.algorithmID = [1, 2, 840, 10045, 2, 1]
 }
 
+KeyEncoder.aliases = aliases
+KeyEncoder.curves = curves
 KeyEncoder.ECPrivateKeyASN = ECPrivateKeyASN
 KeyEncoder.SubjectPublicKeyInfoASN = SubjectPublicKeyInfoASN
 
@@ -160,4 +154,4 @@ KeyEncoder.prototype.encodePublic = function(publicKey, originalFormat, destinat
     }
 }
 
-module.exports = KeyEncoder
\ No newline at end of file
+module.exports = KeyEncoder
diff --git a/test.js b/test.js
index 492df4c..3d32c2c 100644
--- a/test.js
+++ b/test.js
@@ -2,7 +2,8 @@ var test = require('tape'),
     KeyEncoder = require('./index'),
     ECPrivateKeyASN = KeyEncoder.ECPrivateKeyASN,
     SubjectPublicKeyInfoASN = KeyEncoder.SubjectPublicKeyInfoASN,
-    BN = require('bn.js')
+    BN = require('bn.js'),
+    crypto = require('crypto')
 
 var keys = {
     rawPrivate: '844055cca13efd78ce79a4c3a4c5aba5db0ebeb7ae9d56906c03d333c5668d5b',
@@ -128,3 +129,63 @@ test('encodePEMPublicKey', function(t) {
     var publicKeyDER = keyEncoder.encodePublic(keys.pemPublic, 'pem', 'der')
     t.equal(publicKeyDER, keys.derPublic, 'encoded DER public key should match the OpenSSL reference')
 })
+
+var aliases = KeyEncoder.aliases
+var curves = KeyEncoder.curves
+
+test('elliptic sign => native verify compact', function (t) {
+    var testData = 'some data',
+        hashingAlgorithm = 'sha256',
+        testDataHash = crypto.createHash(hashingAlgorithm).update(testData).digest()
+
+    for (var curveName in aliases) {
+        var curve = curves[curveName].curve,
+            keyEncoder = new KeyEncoder(curveName)
+        t.ok(keyEncoder, 'curve ' + curveName + ': created a key encoder')
+
+        var keypair = curve.genKeyPair(),
+            publixKeyHex = keypair.getPublic('hex'),
+            publicKeyPEM = keyEncoder.encodePublic(publixKeyHex, 'raw', 'pem')
+
+        var signatureOfTestData = keypair.sign(testDataHash).toDER('hex')
+        t.ok(signatureOfTestData, 'curve ' + curveName + ': signed test data')
+
+        var verified = crypto
+            .createVerify(hashingAlgorithm)
+            .update(testData)
+            .verify(publicKeyPEM, signatureOfTestData, 'hex')
+        t.ok(verified, 'curve ' + curveName + ': verified signature')
+    }
+
+    t.end()
+})
+
+test('native sign => elliptic verify compact', function (t) {
+    var testData = 'some data',
+        hashingAlgorithm = 'sha256',
+        testDataHash = crypto.createHash(hashingAlgorithm).update(testData).digest()
+
+    for (var curveName in aliases) {
+        var curve = curves[curveName].curve,
+            keyEncoder = new KeyEncoder(curveName)
+        t.ok(keyEncoder, 'curve ' + curveName + ': created a key encoder')
+
+        var ecdh = crypto.createECDH(aliases[curveName])
+        ecdh.generateKeys()
+        var privateKey = ecdh.getPrivateKey(),
+            privateKeyPEM = keyEncoder.encodePrivate(privateKey, 'raw', 'pem')
+        
+        var signatureOfTestData = crypto
+            .createSign(hashingAlgorithm)
+            .update(testData)
+            .sign(privateKeyPEM, 'hex')
+        t.ok(signatureOfTestData, 'curve ' + curveName + ': signed test data')
+
+        var verified = curve
+            .keyFromPrivate(privateKey)
+            .verify(testDataHash, signatureOfTestData)
+        t.ok(verified, 'curve ' + curveName + ': verified signature')
+    }
+
+    t.end()
+})