diff --git a/lib/jwt/jwk.rb b/lib/jwt/jwk.rb
index 04aee444..01d8167a 100644
--- a/lib/jwt/jwk.rb
+++ b/lib/jwt/jwk.rb
@@ -1,36 +1,50 @@
 # frozen_string_literal: true
 
-require_relative 'jwk/key_abstract'
-require_relative 'jwk/rsa'
-require_relative 'jwk/hmac'
 require_relative 'jwk/key_finder'
 
 module JWT
   module JWK
-    MAPPINGS = {
-      'RSA' => ::JWT::JWK::RSA,
-      OpenSSL::PKey::RSA => ::JWT::JWK::RSA,
-      'oct' => ::JWT::JWK::HMAC,
-      String => ::JWT::JWK::HMAC
-    }.freeze
-
     class << self
       def import(jwk_data)
         jwk_kty = jwk_data[:kty] || jwk_data['kty']
         raise JWT::JWKError, 'Key type (kty) not provided' unless jwk_kty
 
-        MAPPINGS.fetch(jwk_kty.to_s) do |kty|
+        mappings.fetch(jwk_kty.to_s) do |kty|
           raise JWT::JWKError, "Key type #{kty} not supported"
         end.import(jwk_data)
       end
 
       def create_from(keypair)
-        MAPPINGS.fetch(keypair.class) do |klass|
+        mappings.fetch(keypair.class) do |klass|
           raise JWT::JWKError, "Cannot create JWK from a #{klass.name}"
         end.new(keypair)
       end
 
+      def classes
+        @mappings = nil # reset the cached mappings
+        @classes ||= []
+      end
+
       alias new create_from
+
+      private
+
+      def mappings
+        @mappings ||= generate_mappings
+      end
+
+      def generate_mappings
+        classes.each_with_object({}) do |klass, hash|
+          next unless klass.const_defined?('KTYS')
+          Array(klass::KTYS).each do |kty|
+            hash[kty] = klass
+          end
+        end
+      end
     end
   end
 end
+
+require_relative 'jwk/key_base'
+require_relative 'jwk/rsa'
+require_relative 'jwk/hmac'
diff --git a/lib/jwt/jwk/hmac.rb b/lib/jwt/jwk/hmac.rb
index 10c4fec1..61839e97 100644
--- a/lib/jwt/jwk/hmac.rb
+++ b/lib/jwt/jwk/hmac.rb
@@ -2,8 +2,9 @@
 
 module JWT
   module JWK
-    class HMAC < KeyAbstract
+    class HMAC < KeyBase
       KTY = 'oct'.freeze
+      KTYS = [KTY, String].freeze
 
       def initialize(keypair, kid = nil)
         raise ArgumentError, 'keypair must be of type String' unless keypair.is_a?(String)
diff --git a/lib/jwt/jwk/key_abstract.rb b/lib/jwt/jwk/key_abstract.rb
deleted file mode 100644
index 1251e2bc..00000000
--- a/lib/jwt/jwk/key_abstract.rb
+++ /dev/null
@@ -1,36 +0,0 @@
-# frozen_string_literal: true
-
-module JWT
-  module JWK
-    class KeyAbstract
-      attr_reader :keypair, :kid
-
-      def initialize(keypair, kid = nil)
-        @keypair = keypair
-        @kid = kid
-      end
-
-      def private?
-        raise NotImplementedError, "#{self.class} has not implemented method '#{__method__}'"
-      end
-
-      def public_key
-        raise NotImplementedError, "#{self.class} has not implemented method '#{__method__}'"
-      end
-
-      def export(_options = {})
-        raise NotImplementedError, "#{self.class} has not implemented method '#{__method__}'"
-      end
-
-      protected
-
-      attr_writer :kid
-
-      class << self
-        def import(_jwk_data)
-          raise NotImplementedError, "#{self.class} has not implemented method '#{__method__}'"
-        end
-      end
-    end
-  end
-end
diff --git a/lib/jwt/jwk/key_base.rb b/lib/jwt/jwk/key_base.rb
new file mode 100644
index 00000000..46619a79
--- /dev/null
+++ b/lib/jwt/jwk/key_base.rb
@@ -0,0 +1,18 @@
+# frozen_string_literal: true
+
+module JWT
+  module JWK
+    class KeyBase
+      attr_reader :keypair, :kid
+
+      def initialize(keypair, kid = nil)
+        @keypair = keypair
+        @kid     = kid
+      end
+
+      def self.inherited(klass)
+        ::JWT::JWK.classes << klass
+      end
+    end
+  end
+end
diff --git a/lib/jwt/jwk/rsa.rb b/lib/jwt/jwk/rsa.rb
index 975131d4..bd66d509 100644
--- a/lib/jwt/jwk/rsa.rb
+++ b/lib/jwt/jwk/rsa.rb
@@ -2,15 +2,15 @@
 
 module JWT
   module JWK
-    class RSA < KeyAbstract
-      BINARY           = 2
-      KTY              = 'RSA'.freeze
+    class RSA < KeyBase
+      BINARY = 2
+      KTY    = 'RSA'.freeze
+      KTYS   = [KTY, OpenSSL::PKey::RSA].freeze
       RSA_KEY_ELEMENTS = %i[n e d p q dp dq qi].freeze
 
       def initialize(keypair, kid = nil)
         raise ArgumentError, 'keypair must be of type OpenSSL::PKey::RSA' unless keypair.is_a?(OpenSSL::PKey::RSA)
-        super
-        self.kid ||= generate_kid
+        super(keypair, kid || generate_kid(keypair.public_key))
       end
 
       def private?
@@ -36,7 +36,7 @@ def export(options = {})
 
       private
 
-      def generate_kid
+      def generate_kid(public_key)
         sequence = OpenSSL::ASN1::Sequence([OpenSSL::ASN1::Integer.new(public_key.n),
                                             OpenSSL::ASN1::Integer.new(public_key.e)])
         OpenSSL::Digest::SHA256.hexdigest(sequence.to_der)