diff --git a/compiler/lib/Conversion/MidLFHEGlobalParametrization/MidLFHEGlobalParametrization.cpp b/compiler/lib/Conversion/MidLFHEGlobalParametrization/MidLFHEGlobalParametrization.cpp
index e54dbcaab..28ae9d137 100644
--- a/compiler/lib/Conversion/MidLFHEGlobalParametrization/MidLFHEGlobalParametrization.cpp
+++ b/compiler/lib/Conversion/MidLFHEGlobalParametrization/MidLFHEGlobalParametrization.cpp
@@ -2,6 +2,7 @@
 #include "mlir/Transforms/DialectConversion.h"
 
 #include "zamalang/Conversion/Passes.h"
+#include "zamalang/Conversion/Utils/LinalgGenericTypeConverterPattern.h"
 #include "zamalang/Conversion/Utils/TensorOpTypeConversion.h"
 #include "zamalang/Dialect/MidLFHE/IR/MidLFHEDialect.h"
 #include "zamalang/Dialect/MidLFHE/IR/MidLFHEOps.h"
@@ -192,6 +193,8 @@ void MidLFHEGlobalParametrizationPass::runOnOperation() {
   mlir::OwningRewritePatternList patterns(&getContext());
   populateWithMidLFHEOpTypeConversionPatterns(patterns, target, converter,
                                               fheContext.parameter);
+  patterns.add<LinalgGenericTypeConverterPattern<
+      MidLFHEGlobalParametrizationTypeConverter>>(&getContext(), converter);
   mlir::zamalang::populateWithTensorTypeConverterPatterns(patterns, target,
                                                           converter);
   mlir::populateFuncOpTypeConversionPattern(patterns, converter);
diff --git a/compiler/lib/Conversion/MidLFHEToLowLFHE/MidLFHEToLowLFHE.cpp b/compiler/lib/Conversion/MidLFHEToLowLFHE/MidLFHEToLowLFHE.cpp
index 9e63d906f..a4148b1c5 100644
--- a/compiler/lib/Conversion/MidLFHEToLowLFHE/MidLFHEToLowLFHE.cpp
+++ b/compiler/lib/Conversion/MidLFHEToLowLFHE/MidLFHEToLowLFHE.cpp
@@ -30,7 +30,7 @@ public:
   MidLFHEToLowLFHETypeConverter() {
     addConversion([](mlir::Type type) { return type; });
     addConversion([&](GLWECipherTextType type) {
-      return mlir::zamalang::convertTypeGLWEToLWE(type.getContext(), type);
+      return mlir::zamalang::convertTypeToLWE(type.getContext(), type);
     });
     addConversion([&](mlir::RankedTensorType type) {
       auto glwe = type.getElementType().dyn_cast_or_null<GLWECipherTextType>();
@@ -39,7 +39,7 @@ public:
       }
       mlir::Type r = mlir::RankedTensorType::get(
           type.getShape(),
-          mlir::zamalang::convertTypeGLWEToLWE(glwe.getContext(), glwe));
+          mlir::zamalang::convertTypeToLWE(glwe.getContext(), glwe));
       return r;
     });
   }