diff --git a/src/vdaf/prio3_test.rs b/src/vdaf/prio3_test.rs
index 9a3dfd85f..479c6b4c3 100644
--- a/src/vdaf/prio3_test.rs
+++ b/src/vdaf/prio3_test.rs
@@ -237,57 +237,94 @@ impl From<Prio3CountMeasurement> for bool {
     }
 }
 
-#[test]
-fn test_vec_prio3_count() {
-    for test_vector_str in [
-        include_str!("test_vec/08/Prio3Count_0.json"),
-        include_str!("test_vec/08/Prio3Count_1.json"),
-    ] {
-        check_test_vec_custom_de::<Prio3CountMeasurement, _, _, _, _, 16>(
-            test_vector_str,
-            |_json_params, num_shares| Prio3::new_count(num_shares).unwrap(),
-        );
+#[cfg(test)]
+mod tests {
+    use crate::{
+        field::Field64,
+        flp::{
+            gadgets::{Mul, ParallelSum},
+            types::SumVec,
+        },
+        vdaf::{prio3::Prio3, xof::XofTurboShake128},
+    };
+
+    use super::{check_test_vec, check_test_vec_custom_de, Prio3CountMeasurement};
+
+    #[test]
+    fn test_vec_prio3_count() {
+        for test_vector_str in [
+            include_str!("test_vec/08/Prio3Count_0.json"),
+            include_str!("test_vec/08/Prio3Count_1.json"),
+        ] {
+            check_test_vec_custom_de::<Prio3CountMeasurement, _, _, _, _, 16>(
+                test_vector_str,
+                |_json_params, num_shares| Prio3::new_count(num_shares).unwrap(),
+            );
+        }
+    }
+
+    #[test]
+    fn test_vec_prio3_sum() {
+        for test_vector_str in [
+            include_str!("test_vec/08/Prio3Sum_0.json"),
+            include_str!("test_vec/08/Prio3Sum_1.json"),
+        ] {
+            check_test_vec(test_vector_str, |json_params, num_shares| {
+                let bits = json_params["bits"].as_u64().unwrap() as usize;
+                Prio3::new_sum(num_shares, bits).unwrap()
+            });
+        }
     }
-}
 
-#[test]
-fn test_vec_prio3_sum() {
-    for test_vector_str in [
-        include_str!("test_vec/08/Prio3Sum_0.json"),
-        include_str!("test_vec/08/Prio3Sum_1.json"),
-    ] {
-        check_test_vec(test_vector_str, |json_params, num_shares| {
-            let bits = json_params["bits"].as_u64().unwrap() as usize;
-            Prio3::new_sum(num_shares, bits).unwrap()
-        });
+    #[test]
+    fn test_vec_prio3_sum_vec() {
+        for test_vector_str in [
+            include_str!("test_vec/08/Prio3SumVec_0.json"),
+            include_str!("test_vec/08/Prio3SumVec_1.json"),
+        ] {
+            check_test_vec(test_vector_str, |json_params, num_shares| {
+                let bits = json_params["bits"].as_u64().unwrap() as usize;
+                let length = json_params["length"].as_u64().unwrap() as usize;
+                let chunk_length = json_params["chunk_length"].as_u64().unwrap() as usize;
+                Prio3::new_sum_vec(num_shares, bits, length, chunk_length).unwrap()
+            });
+        }
     }
-}
 
-#[test]
-fn test_vec_prio3_sum_vec() {
-    for test_vector_str in [
-        include_str!("test_vec/08/Prio3SumVec_0.json"),
-        include_str!("test_vec/08/Prio3SumVec_1.json"),
-    ] {
-        check_test_vec(test_vector_str, |json_params, num_shares| {
-            let bits = json_params["bits"].as_u64().unwrap() as usize;
-            let length = json_params["length"].as_u64().unwrap() as usize;
-            let chunk_length = json_params["chunk_length"].as_u64().unwrap() as usize;
-            Prio3::new_sum_vec(num_shares, bits, length, chunk_length).unwrap()
-        });
+    #[test]
+    fn test_vec_prio3_sum_vec_multiproof() {
+        type Prio3SumVecField64Multiproof =
+            Prio3<SumVec<Field64, ParallelSum<Field64, Mul<Field64>>>, XofTurboShake128, 16>;
+        for test_vector_str in [
+            include_str!("test_vec/08/Prio3SumVecField64Multiproof_0.json"),
+            include_str!("test_vec/08/Prio3SumVecField64Multiproof_1.json"),
+        ] {
+            check_test_vec(test_vector_str, |json_params, num_shares| {
+                let bits = json_params["bits"].as_u64().unwrap() as usize;
+                let length = json_params["length"].as_u64().unwrap() as usize;
+                let chunk_length = json_params["chunk_length"].as_u64().unwrap() as usize;
+                Prio3SumVecField64Multiproof::new(
+                    num_shares,
+                    3,
+                    0xFFFFFFFF,
+                    SumVec::new(bits, length, chunk_length).unwrap(),
+                )
+                .unwrap()
+            });
+        }
     }
-}
 
-#[test]
-fn test_vec_prio3_histogram() {
-    for test_vector_str in [
-        include_str!("test_vec/08/Prio3Histogram_0.json"),
-        include_str!("test_vec/08/Prio3Histogram_1.json"),
-    ] {
-        check_test_vec(test_vector_str, |json_params, num_shares| {
-            let length = json_params["length"].as_u64().unwrap() as usize;
-            let chunk_length = json_params["chunk_length"].as_u64().unwrap() as usize;
-            Prio3::new_histogram(num_shares, length, chunk_length).unwrap()
-        });
+    #[test]
+    fn test_vec_prio3_histogram() {
+        for test_vector_str in [
+            include_str!("test_vec/08/Prio3Histogram_0.json"),
+            include_str!("test_vec/08/Prio3Histogram_1.json"),
+        ] {
+            check_test_vec(test_vector_str, |json_params, num_shares| {
+                let length = json_params["length"].as_u64().unwrap() as usize;
+                let chunk_length = json_params["chunk_length"].as_u64().unwrap() as usize;
+                Prio3::new_histogram(num_shares, length, chunk_length).unwrap()
+            });
+        }
     }
 }
diff --git a/src/vdaf/test_vec/08/Prio3SumVecField64Multiproof_0.json b/src/vdaf/test_vec/08/Prio3SumVecField64Multiproof_0.json
new file mode 100644
index 000000000..66d8bf83c
--- /dev/null
+++ b/src/vdaf/test_vec/08/Prio3SumVecField64Multiproof_0.json
@@ -0,0 +1,194 @@
+{
+    "agg_param": null,
+    "agg_result": [
+        256,
+        257,
+        258,
+        259,
+        260,
+        261,
+        262,
+        263,
+        264,
+        265
+    ],
+    "agg_shares": [
+        "3ab5f614e81c3ca680120874db037b5475f32d39e5bd61aac380255effb87bc91a3681607b2e45ea793e6ded3ab0bf1a2f242b1eafbada51ebdced8705cf23f939f5a0e3b8e324fa7b497cac9bac8ab4",
+        "c74b09eb16e3c35982eef78b23fc84ab8e0dd2c619429e554180daa1ff468436ebca7e9f83d1ba158dc29212c44f40e5d8dcd4e14f4525ae1d241278f930dc06d00b5f1c461cdb058fb783536353754b"
+    ],
+    "bits": 8,
+    "chunk_length": 9,
+    "length": 10,
+    "prep": [
+        {
+            "input_shares": [
+                "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",
+                "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f"
+            ],
+            "measurement": [
+                0,
+                1,
+                2,
+                3,
+                4,
+                5,
+                6,
+                7,
+                8,
+                9
+            ],
+            "nonce": "000102030405060708090a0b0c0d0e0f",
+            "out_shares": [
+                [
+                    "bee6fc06f85e6937",
+                    "2c5bad26f3abd3c6",
+                    "29a66468f6e975e3",
+                    "992ab77454e8d3ed",
+                    "0c67807528bac1f8",
+                    "2cbf79a468e53f5e",
+                    "14610e0a3a3e9e70",
+                    "a99ea482569ab6fd",
+                    "c3a635a13da16153",
+                    "dac27e39de8e8391"
+                ],
+                [
+                    "431903f906a196c8",
+                    "d6a452d90b542c39",
+                    "da599b9708168a1c",
+                    "6bd5488baa172c12",
+                    "f9987f8ad6453e07",
+                    "da40865b961ac0a1",
+                    "f39ef1f5c4c1618f",
+                    "5f615b7da8654902",
+                    "4659ca5ec15e9eac",
+                    "303d81c620717c6e"
+                ]
+            ],
+            "prep_messages": [
+                "a592bbd7cace57212e13001b9a3ef581"
+            ],
+            "prep_shares": [
+                [
+                    "8245b11b412c99a45090d4e4430020eddedcbb81e84ebbcee7c78db567af58bdb170d1d6730beecc1f0c8ae7261c99807c57cce927b44dc734c1139830ac2e52ceeeb849be8a757dbcb51806dfbcddf83c1ae8daf32b62079441c9d4a613ba753594af0a707c3b12f165e406786f5ba3a7d281f8c9ae83a0f2d455f67cccb6aa49f5186d1a4a26421a0415a705e31999085c10d648e8d53f2e5d7e0e6df3a525a6d7957f32b7847f3182388f8ddf6c46744b7219f9faada4aa5aa95b04495e276b8f14a30edb31071aec993e547e0afbb308b0e0255e89677cc57acd82ed0700d8837c2faed9940eb553417b04ff7c8d1114c23e29440d58444ec5e11ba7fd0c9df340b8aaa0b990c57e69c26c2d2189a29ba10388fa86eb2a163e34488104ef9407427f26a02ad1b14adade0c04e403f3f0f51b00300b39b8804a023a48f5a755dad15a0eb0dccf02513ff81fbfed64f4b0f8a1375ae581098c81dc7f0a27e5f3afc505cade0a1b39e174c1804c8e966a8df6536af35c22f1b783cfb8a8e2bc4abf3815de37d747e6be6e4ab2da41256b6d7bd0dadfa57e174196632102072f36ff659e6fde4a85bc770a816ff22efc0a4a0e853ec26596e3f1271d124b698bdf635a0e7f54f2dda165fd0d6d95d89db39b380183bcaebfdf6e6915e13fea89cda699e71b970103935ced54d5826a39",
+                    "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"
+                ]
+            ],
+            "public_share": "cda699e71b970103935ced54d5826a391079f03dadb88b677dbc3114399e1d90",
+            "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f"
+        },
+        {
+            "input_shares": [
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+            "rand": "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f"
+        }
+    ],
+    "shares": 2,
+    "verify_key": "000102030405060708090a0b0c0d0e0f"
+}
diff --git a/src/vdaf/test_vec/08/Prio3SumVecField64Multiproof_1.json b/src/vdaf/test_vec/08/Prio3SumVecField64Multiproof_1.json
new file mode 100644
index 000000000..992c9190e
--- /dev/null
+++ b/src/vdaf/test_vec/08/Prio3SumVecField64Multiproof_1.json
@@ -0,0 +1,146 @@
+{
+    "agg_param": null,
+    "agg_result": [
+        45328,
+        76286,
+        26980
+    ],
+    "agg_shares": [
+        "6ee48f3c5c11f4940059a219a8a6b54bc3e082cdf010183d",
+        "1ccdf7e24d07c0de584e52a1f141e5d9065741327b960a56",
+        "88ff78e053e74b8ca8820c45641765da9c313c009358dd6c"
+    ],
+    "bits": 16,
+    "chunk_length": 7,
+    "length": 3,
+    "prep": [
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+                [
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+                    "563736b3e28c3c19",
+                    "297d2bef4fb0b269"
+                ],
+                [
+                    "0aefa74b19adeaf4",
+                    "c8c470e0a5c0a148",
+                    "5872c010d3dc58c7"
+                ],
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+                    "e380596c76b2219e",
+                    "8a101400db72f4ce"
+                ]
+            ],
+            "prep_messages": [
+                "72a19a31cbfafa41d0899a76bdd30605"
+            ],
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+        },
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+            "out_shares": [
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+                    "5807301474b0a631",
+                    "f50636b3e28c3c19",
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+                    "e380596c76b2219e",
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+                23910
+            ],
+            "nonce": "000102030405060708090a0b0c0d0e0f",
+            "out_shares": [
+                [
+                    "3cfa2f1474b0a631",
+                    "b51a36b3e28c3c19",
+                    "86da2bef4fb0b269"
+                ],
+                [
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+                    "5872c010d3dc58c7"
+                ],
+                [
+                    "2e5528a070a26ed9",
+                    "e380596c76b2219e",
+                    "8a101400db72f4ce"
+                ]
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+            "prep_messages": [
+                "486d616ca58bbfda75a5018a5dfe68cd"
+            ],
+            "prep_shares": [
+                [
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+        }
+    ],
+    "shares": 3,
+    "verify_key": "000102030405060708090a0b0c0d0e0f"
+}