diff --git a/CMakeLists.txt b/CMakeLists.txt
index 80ece2e1..b042e35a 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -223,7 +223,7 @@ if(SEAL_USE_INTEL_HEXL)
         message(STATUS "Intel HEXL: download ...")
         seal_fetch_thirdparty_content(ExternalIntelHEXL)
     else()
-        find_package(HEXL 1.2.1)
+        find_package(HEXL 1.2.2)
         if (NOT TARGET HEXL::hexl)
             message(FATAL_ERROR "Intel HEXL: not found")
         endif()
diff --git a/README.md b/README.md
index 2459e055..8dd3d5b4 100644
--- a/README.md
+++ b/README.md
@@ -116,7 +116,7 @@ The optional dependencies and their tested versions (other versions may work as
 
 | Optional dependency                                    | Tested version | Use                                              |
 | ------------------------------------------------------ | -------------- | ------------------------------------------------ |
-| [Intel HEXL](https://github.com/intel/hexl)            | 1.2.1          | Acceleration of low-level kernels                |
+| [Intel HEXL](https://github.com/intel/hexl)            | 1.2.2          | Acceleration of low-level kernels                |
 | [Microsoft GSL](https://github.com/microsoft/GSL)      | 3.1.0          | API extensions                                   |
 | [ZLIB](https://github.com/madler/zlib)                 | 1.2.11         | Compressed serialization                         |
 | [Zstandard](https://github.com/facebook/zstd)          | 1.4.5          | Compressed serialization (much faster than ZLIB) |
diff --git a/cmake/ExternalIntelHEXL.cmake b/cmake/ExternalIntelHEXL.cmake
index 410f141b..1feacac9 100644
--- a/cmake/ExternalIntelHEXL.cmake
+++ b/cmake/ExternalIntelHEXL.cmake
@@ -5,7 +5,7 @@ FetchContent_Declare(
     hexl
     PREFIX hexl
     GIT_REPOSITORY https://github.com/intel/hexl
-    GIT_TAG f976b7d820a605973819863cb201a0e1a4ecf96b # beyond 1.2.1
+    GIT_TAG 1.2.2
 )
 FetchContent_GetProperties(hexl)
 
diff --git a/native/src/seal/util/polyarithsmallmod.cpp b/native/src/seal/util/polyarithsmallmod.cpp
index 29f63e9b..e3f0afca 100644
--- a/native/src/seal/util/polyarithsmallmod.cpp
+++ b/native/src/seal/util/polyarithsmallmod.cpp
@@ -33,7 +33,7 @@ namespace seal
 #endif
 
 #ifdef SEAL_USE_INTEL_HEXL
-            intel::hexl::EltwiseReduceMod(result, poly, coeff_count, modulus.value(), 0, 1);
+            intel::hexl::EltwiseReduceMod(result, poly, coeff_count, modulus.value(), modulus.value(), 1);
 #else
             SEAL_ITERATE(
                 iter(poly, result), coeff_count, [&](auto I) { get<1>(I) = barrett_reduce_64(get<0>(I), modulus); });