diff --git a/tfhe/src/integer/gpu/server_key/mod.rs b/tfhe/src/integer/gpu/server_key/mod.rs
index 4493e2d9bc..2e67533ff6 100644
--- a/tfhe/src/integer/gpu/server_key/mod.rs
+++ b/tfhe/src/integer/gpu/server_key/mod.rs
@@ -253,7 +253,12 @@ impl CudaServerKey {
         if clear == Clear::MAX {
             Clear::BITS
         } else {
-            (clear + Clear::ONE).ceil_ilog2() as usize
+            let bits = (clear + Clear::ONE).ceil_ilog2() as usize;
+            if bits == 0 {
+                1
+            } else {
+                bits
+            }
         }
     }
 
diff --git a/tfhe/src/integer/gpu/server_key/radix/vector_find.rs b/tfhe/src/integer/gpu/server_key/radix/vector_find.rs
index da1cf63475..89fe57bd50 100644
--- a/tfhe/src/integer/gpu/server_key/radix/vector_find.rs
+++ b/tfhe/src/integer/gpu/server_key/radix/vector_find.rs
@@ -22,6 +22,9 @@ impl CudaServerKey {
         selectors: &[CudaBooleanBlock],
         streams: &CudaStreams,
     ) -> CudaUnsignedRadixCiphertext {
+        if selectors.is_empty() {
+            return self.create_trivial_radix(0, 1, streams);
+        }
         let packed_list = CudaLweCiphertextList::from_vec_cuda_lwe_ciphertexts_list(
             selectors
                 .iter()
@@ -46,6 +49,9 @@ impl CudaServerKey {
     where
         T: CudaIntegerRadixCiphertext,
     {
+        if radixes.is_empty() {
+            return self.create_trivial_radix(0, 1, streams);
+        }
         let packed_list = CudaLweCiphertextList::from_vec_cuda_lwe_ciphertexts_list(
             radixes.iter().map(|ciphertext| &ciphertext.d_blocks),
             streams,