diff --git a/README.md b/README.md
index 655cd90..ebabcb4 100644
--- a/README.md
+++ b/README.md
@@ -21,7 +21,7 @@ There is no support and maintenance for older PHP versions, however you are free
 - PHP 7.1: `v3.x-v5.x`
 - PHP 7.2: `v6.x`
 - PHP 7.3 7.4: `v7.x`
-- PHP 8.0: `v8.x`
+- PHP 8.0 / Openssl without elliptic curve support: `v8.x`
 
 This README is only compatible with the latest version. Each version of the library has a git tag where the corresponding README can be read.
 
diff --git a/src/Encryption.php b/src/Encryption.php
index b1e0ed7..5c347e1 100644
--- a/src/Encryption.php
+++ b/src/Encryption.php
@@ -14,9 +14,7 @@
 namespace Minishlink\WebPush;
 
 use Base64Url\Base64Url;
-use Brick\Math\BigInteger;
 use Jose\Component\Core\JWK;
-use Jose\Component\Core\Util\Ecc\NistCurve;
 use Jose\Component\Core\Util\Ecc\PrivateKey;
 use Jose\Component\Core\Util\ECKey;
 
@@ -233,58 +231,18 @@ private static function createInfo(string $type, ?string $context, string $conte
     }
 
     private static function createLocalKeyObject(): array
-    {
-        try {
-            return self::createLocalKeyObjectUsingOpenSSL();
-        } catch (\Exception $e) {
-            return self::createLocalKeyObjectUsingPurePhpMethod();
-        }
-    }
-
-    private static function createLocalKeyObjectUsingPurePhpMethod(): array
-    {
-        $curve = NistCurve::curve256();
-        $privateKey = $curve->createPrivateKey();
-        $publicKey = $curve->createPublicKey($privateKey);
-
-        if ($publicKey->getPoint()->getX() instanceof BigInteger) {
-            return [
-                new JWK([
-                    'kty' => 'EC',
-                    'crv' => 'P-256',
-                    'x' => Base64Url::encode(self::addNullPadding($publicKey->getPoint()->getX()->toBytes(false))),
-                    'y' => Base64Url::encode(self::addNullPadding($publicKey->getPoint()->getY()->toBytes(false))),
-                    'd' => Base64Url::encode(self::addNullPadding($privateKey->getSecret()->toBytes(false))),
-                ]),
-            ];
-        }
-
-        return [
-            new JWK([
-                'kty' => 'EC',
-                'crv' => 'P-256',
-                'x' => Base64Url::encode(self::addNullPadding(hex2bin(gmp_strval($publicKey->getPoint()->getX(), 16)))),
-                'y' => Base64Url::encode(self::addNullPadding(hex2bin(gmp_strval($publicKey->getPoint()->getY(), 16)))),
-                'd' => Base64Url::encode(self::addNullPadding(hex2bin(gmp_strval($privateKey->getSecret(), 16)))),
-            ]),
-        ];
-    }
-
-    private static function createLocalKeyObjectUsingOpenSSL(): array
     {
         $keyResource = openssl_pkey_new([
             'curve_name'       => 'prime256v1',
             'private_key_type' => OPENSSL_KEYTYPE_EC,
         ]);
-
         if (!$keyResource) {
-            throw new \RuntimeException('Unable to create the key');
+            throw new \RuntimeException('Unable to create the local key.');
         }
 
         $details = openssl_pkey_get_details($keyResource);
-
         if (!$details) {
-            throw new \RuntimeException('Unable to get the key details');
+            throw new \RuntimeException('Unable to get the local key details.');
         }
 
         return [
diff --git a/src/Utils.php b/src/Utils.php
index a23200a..dcb5fc4 100644
--- a/src/Utils.php
+++ b/src/Utils.php
@@ -14,7 +14,6 @@
 namespace Minishlink\WebPush;
 
 use Base64Url\Base64Url;
-use Brick\Math\BigInteger;
 use Jose\Component\Core\JWK;
 use Jose\Component\Core\Util\Ecc\PublicKey;
 
@@ -29,13 +28,8 @@ public static function serializePublicKey(PublicKey $publicKey): string
     {
         $hexString = '04';
         $point = $publicKey->getPoint();
-        if ($point->getX() instanceof BigInteger) {
-            $hexString .= str_pad($point->getX()->toBase(16), 64, '0', STR_PAD_LEFT);
-            $hexString .= str_pad($point->getY()->toBase(16), 64, '0', STR_PAD_LEFT);
-        } else { // @phpstan-ignore-line
-            $hexString .= str_pad(gmp_strval($point->getX(), 16), 64, '0', STR_PAD_LEFT);
-            $hexString .= str_pad(gmp_strval($point->getY(), 16), 64, '0', STR_PAD_LEFT); // @phpstan-ignore-line
-        }
+        $hexString .= str_pad($point->getX()->toBase(16), 64, '0', STR_PAD_LEFT);
+        $hexString .= str_pad($point->getY()->toBase(16), 64, '0', STR_PAD_LEFT);
 
         return $hexString;
     }