diff --git a/target/arm/tcg/vec_internal.h b/target/arm/tcg/vec_internal.h
index 1f4ed80ff7..c4afba6d9f 100644
--- a/target/arm/tcg/vec_internal.h
+++ b/target/arm/tcg/vec_internal.h
@@ -219,11 +219,6 @@ int16_t do_sqrdmlah_h(int16_t, int16_t, int16_t, bool, bool, uint32_t *);
 int32_t do_sqrdmlah_s(int32_t, int32_t, int32_t, bool, bool, uint32_t *);
 int64_t do_sqrdmlah_d(int64_t, int64_t, int64_t, bool, bool);
 
-/*
- * 8 x 8 -> 16 vector polynomial multiply where the inputs are
- * in the low 8 bits of each 16-bit element
-*/
-uint64_t pmull_h(uint64_t op1, uint64_t op2);
 /*
  * 16 x 16 -> 32 vector polynomial multiply where the inputs are
  * in the low 16 bits of each 32-bit element
diff --git a/target/arm/tcg/mve_helper.c b/target/arm/tcg/mve_helper.c
index 403b345ea3..96ddfb4b3a 100644
--- a/target/arm/tcg/mve_helper.c
+++ b/target/arm/tcg/mve_helper.c
@@ -26,6 +26,7 @@
 #include "exec/exec-all.h"
 #include "tcg/tcg.h"
 #include "fpu/softfloat.h"
+#include "crypto/clmul.h"
 
 static uint16_t mve_eci_mask(CPUARMState *env)
 {
@@ -984,15 +985,12 @@ DO_2OP_L(vmulltuw, 1, 4, uint32_t, 8, uint64_t, DO_MUL)
  * Polynomial multiply. We can always do this generating 64 bits
  * of the result at a time, so we don't need to use DO_2OP_L.
  */
-#define VMULLPH_MASK 0x00ff00ff00ff00ffULL
 #define VMULLPW_MASK 0x0000ffff0000ffffULL
-#define DO_VMULLPBH(N, M) pmull_h((N) & VMULLPH_MASK, (M) & VMULLPH_MASK)
-#define DO_VMULLPTH(N, M) DO_VMULLPBH((N) >> 8, (M) >> 8)
 #define DO_VMULLPBW(N, M) pmull_w((N) & VMULLPW_MASK, (M) & VMULLPW_MASK)
 #define DO_VMULLPTW(N, M) DO_VMULLPBW((N) >> 16, (M) >> 16)
 
-DO_2OP(vmullpbh, 8, uint64_t, DO_VMULLPBH)
-DO_2OP(vmullpth, 8, uint64_t, DO_VMULLPTH)
+DO_2OP(vmullpbh, 8, uint64_t, clmul_8x4_even)
+DO_2OP(vmullpth, 8, uint64_t, clmul_8x4_odd)
 DO_2OP(vmullpbw, 8, uint64_t, DO_VMULLPBW)
 DO_2OP(vmullptw, 8, uint64_t, DO_VMULLPTW)
 
diff --git a/target/arm/tcg/vec_helper.c b/target/arm/tcg/vec_helper.c
index 6712a2c790..cd630ff905 100644
--- a/target/arm/tcg/vec_helper.c
+++ b/target/arm/tcg/vec_helper.c
@@ -23,6 +23,7 @@
 #include "tcg/tcg-gvec-desc.h"
 #include "fpu/softfloat.h"
 #include "qemu/int128.h"
+#include "crypto/clmul.h"
 #include "vec_internal.h"
 
 /*
@@ -1986,21 +1987,11 @@ void HELPER(gvec_ushl_h)(void *vd, void *vn, void *vm, uint32_t desc)
  */
 void HELPER(gvec_pmul_b)(void *vd, void *vn, void *vm, uint32_t desc)
 {
-    intptr_t i, j, opr_sz = simd_oprsz(desc);
+    intptr_t i, opr_sz = simd_oprsz(desc);
     uint64_t *d = vd, *n = vn, *m = vm;
 
     for (i = 0; i < opr_sz / 8; ++i) {
-        uint64_t nn = n[i];
-        uint64_t mm = m[i];
-        uint64_t rr = 0;
-
-        for (j = 0; j < 8; ++j) {
-            uint64_t mask = (nn & 0x0101010101010101ull) * 0xff;
-            rr ^= mm & mask;
-            mm = (mm << 1) & 0xfefefefefefefefeull;
-            nn >>= 1;
-        }
-        d[i] = rr;
+        d[i] = clmul_8x8_low(n[i], m[i]);
     }
     clear_tail(d, opr_sz, simd_maxsz(desc));
 }
@@ -2038,22 +2029,6 @@ void HELPER(gvec_pmull_q)(void *vd, void *vn, void *vm, uint32_t desc)
     clear_tail(d, opr_sz, simd_maxsz(desc));
 }
 
-/*
- * 8x8->16 polynomial multiply.
- *
- * The byte inputs are expanded to (or extracted from) half-words.
- * Note that neon and sve2 get the inputs from different positions.
- * This allows 4 bytes to be processed in parallel with uint64_t.
- */
-
-static uint64_t expand_byte_to_half(uint64_t x)
-{
-    return  (x & 0x000000ff)
-         | ((x & 0x0000ff00) << 8)
-         | ((x & 0x00ff0000) << 16)
-         | ((x & 0xff000000) << 24);
-}
-
 uint64_t pmull_w(uint64_t op1, uint64_t op2)
 {
     uint64_t result = 0;
@@ -2067,29 +2042,16 @@ uint64_t pmull_w(uint64_t op1, uint64_t op2)
     return result;
 }
 
-uint64_t pmull_h(uint64_t op1, uint64_t op2)
-{
-    uint64_t result = 0;
-    int i;
-    for (i = 0; i < 8; ++i) {
-        uint64_t mask = (op1 & 0x0001000100010001ull) * 0xffff;
-        result ^= op2 & mask;
-        op1 >>= 1;
-        op2 <<= 1;
-    }
-    return result;
-}
-
 void HELPER(neon_pmull_h)(void *vd, void *vn, void *vm, uint32_t desc)
 {
     int hi = simd_data(desc);
     uint64_t *d = vd, *n = vn, *m = vm;
     uint64_t nn = n[hi], mm = m[hi];
 
-    d[0] = pmull_h(expand_byte_to_half(nn), expand_byte_to_half(mm));
+    d[0] = clmul_8x4_packed(nn, mm);
     nn >>= 32;
     mm >>= 32;
-    d[1] = pmull_h(expand_byte_to_half(nn), expand_byte_to_half(mm));
+    d[1] = clmul_8x4_packed(nn, mm);
 
     clear_tail(d, 16, simd_maxsz(desc));
 }
@@ -2102,10 +2064,7 @@ void HELPER(sve2_pmull_h)(void *vd, void *vn, void *vm, uint32_t desc)
     uint64_t *d = vd, *n = vn, *m = vm;
 
     for (i = 0; i < opr_sz / 8; ++i) {
-        uint64_t nn = (n[i] >> shift) & 0x00ff00ff00ff00ffull;
-        uint64_t mm = (m[i] >> shift) & 0x00ff00ff00ff00ffull;
-
-        d[i] = pmull_h(nn, mm);
+        d[i] = clmul_8x4_even(n[i] >> shift, m[i] >> shift);
     }
 }
 
