diff --git a/src/Makefile.test.include b/src/Makefile.test.include
--- a/src/Makefile.test.include
+++ b/src/Makefile.test.include
@@ -15,6 +15,7 @@
   test/data/base58_keys_valid.json \
   test/data/base58_encode_decode.json \
   test/data/base58_keys_invalid.json \
+  test/data/blockfilters.json \
   test/data/tx_invalid.json \
   test/data/tx_valid.json \
   test/data/sighash.json
diff --git a/src/blockfilter.h b/src/blockfilter.h
--- a/src/blockfilter.h
+++ b/src/blockfilter.h
@@ -5,8 +5,10 @@
 #ifndef BITCOIN_BLOCKFILTER_H
 #define BITCOIN_BLOCKFILTER_H
 
+#include <primitives/block.h>
 #include <serialize.h>
 #include <uint256.h>
+#include <undo.h>
 
 #include <cstdint>
 #include <set>
@@ -71,4 +73,66 @@
     bool MatchAny(const ElementSet &elements) const;
 };
 
+constexpr uint8_t BASIC_FILTER_P = 19;
+constexpr uint32_t BASIC_FILTER_M = 784931;
+
+enum BlockFilterType : uint8_t {
+    BASIC = 0,
+};
+
+/**
+ * Complete block filter struct as defined in BIP 157. Serialization matches
+ * payload of "cfilter" messages.
+ */
+class BlockFilter {
+private:
+    BlockFilterType m_filter_type;
+    uint256 m_block_hash;
+    GCSFilter m_filter;
+
+public:
+    // Construct a new BlockFilter of the specified type from a block.
+    BlockFilter(BlockFilterType filter_type, const CBlock &block,
+                const CBlockUndo &block_undo);
+
+    BlockFilterType GetFilterType() const { return m_filter_type; }
+
+    const GCSFilter &GetFilter() const { return m_filter; }
+
+    const std::vector<uint8_t> &GetEncodedFilter() const {
+        return m_filter.GetEncoded();
+    }
+
+    // Compute the filter hash.
+    uint256 GetHash() const;
+
+    // Compute the filter header given the previous one.
+    uint256 ComputeHeader(const uint256 &prev_header) const;
+
+    template <typename Stream> void Serialize(Stream &s) const {
+        s << m_block_hash << static_cast<uint8_t>(m_filter_type)
+          << m_filter.GetEncoded();
+    }
+
+    template <typename Stream> void Unserialize(Stream &s) {
+        std::vector<uint8_t> encoded_filter;
+        uint8_t filter_type;
+
+        s >> m_block_hash >> filter_type >> encoded_filter;
+
+        m_filter_type = static_cast<BlockFilterType>(filter_type);
+
+        switch (m_filter_type) {
+            case BlockFilterType::BASIC:
+                m_filter = GCSFilter(m_block_hash.GetUint64(0),
+                                     m_block_hash.GetUint64(1), BASIC_FILTER_P,
+                                     BASIC_FILTER_M, std::move(encoded_filter));
+                break;
+
+            default:
+                throw std::ios_base::failure("unknown filter_type");
+        }
+    }
+};
+
 #endif // BITCOIN_BLOCKFILTER_H
diff --git a/src/blockfilter.cpp b/src/blockfilter.cpp
--- a/src/blockfilter.cpp
+++ b/src/blockfilter.cpp
@@ -4,6 +4,9 @@
 
 #include <blockfilter.h>
 #include <crypto/siphash.h>
+#include <hash.h>
+#include <primitives/transaction.h>
+#include <script/script.h>
 #include <streams.h>
 
 /// SerType used to serialize parameters in GCS filter encoding.
@@ -196,3 +199,65 @@
     const std::vector<uint64_t> queries = BuildHashedSet(elements);
     return MatchInternal(queries.data(), queries.size());
 }
+
+static GCSFilter::ElementSet BasicFilterElements(const CBlock &block,
+                                                 const CBlockUndo &block_undo) {
+    GCSFilter::ElementSet elements;
+
+    for (const CTransactionRef &tx : block.vtx) {
+        for (const CTxOut &txout : tx->vout) {
+            const CScript &script = txout.scriptPubKey;
+            if (script.empty() || script[0] == OP_RETURN) {
+                continue;
+            }
+            elements.emplace(script.begin(), script.end());
+        }
+    }
+
+    for (const CTxUndo &tx_undo : block_undo.vtxundo) {
+        for (const Coin &prevout : tx_undo.vprevout) {
+            const CScript &script = prevout.GetTxOut().scriptPubKey;
+            if (script.empty()) {
+                continue;
+            }
+            elements.emplace(script.begin(), script.end());
+        }
+    }
+
+    return elements;
+}
+
+BlockFilter::BlockFilter(BlockFilterType filter_type, const CBlock &block,
+                         const CBlockUndo &block_undo)
+    : m_filter_type(filter_type), m_block_hash(block.GetHash()) {
+    switch (m_filter_type) {
+        case BlockFilterType::BASIC:
+            m_filter =
+                GCSFilter(m_block_hash.GetUint64(0), m_block_hash.GetUint64(1),
+                          BASIC_FILTER_P, BASIC_FILTER_M,
+                          BasicFilterElements(block, block_undo));
+            break;
+
+        default:
+            throw std::invalid_argument("unknown filter_type");
+    }
+}
+
+uint256 BlockFilter::GetHash() const {
+    const std::vector<uint8_t> &data = GetEncodedFilter();
+
+    uint256 result;
+    CHash256().Write(data.data(), data.size()).Finalize(result.begin());
+    return result;
+}
+
+uint256 BlockFilter::ComputeHeader(const uint256 &prev_header) const {
+    const uint256 &filter_hash = GetHash();
+
+    uint256 result;
+    CHash256()
+        .Write(filter_hash.begin(), filter_hash.size())
+        .Write(prev_header.begin(), prev_header.size())
+        .Finalize(result.begin());
+    return result;
+}
diff --git a/src/test/CMakeLists.txt b/src/test/CMakeLists.txt
--- a/src/test/CMakeLists.txt
+++ b/src/test/CMakeLists.txt
@@ -34,6 +34,7 @@
 	data/base58_keys_valid.json
 	data/base58_encode_decode.json
 	data/base58_keys_invalid.json
+	data/blockfilters.json
 	data/tx_invalid.json
 	data/tx_valid.json
 	data/sighash.json
diff --git a/src/test/blockfilter_tests.cpp b/src/test/blockfilter_tests.cpp
--- a/src/test/blockfilter_tests.cpp
+++ b/src/test/blockfilter_tests.cpp
@@ -4,8 +4,18 @@
 
 #include <blockfilter.h>
 
+#include <core_io.h>
+#include <serialize.h>
+#include <streams.h>
+#include <utilstrencodings.h>
+
+#include <test/data/blockfilters.json.h>
+#include <test/test_bitcoin.h>
+
 #include <boost/test/unit_test.hpp>
 
+#include <univalue.h>
+
 BOOST_AUTO_TEST_SUITE(blockfilter_tests)
 
 BOOST_AUTO_TEST_CASE(gcsfilter_test) {
@@ -30,4 +40,121 @@
     }
 }
 
+BOOST_AUTO_TEST_CASE(blockfilter_basic_test) {
+    CScript included_scripts[5], excluded_scripts[3];
+
+    // First two are outputs on a single transaction.
+    included_scripts[0] << std::vector<uint8_t>(0, 65) << OP_CHECKSIG;
+    included_scripts[1] << OP_DUP << OP_HASH160 << std::vector<uint8_t>(1, 20)
+                        << OP_EQUALVERIFY << OP_CHECKSIG;
+
+    // Third is an output on in a second transaction.
+    included_scripts[2] << OP_1 << std::vector<uint8_t>(2, 33) << OP_1
+                        << OP_CHECKMULTISIG;
+
+    // Last two are spent by a single transaction.
+    included_scripts[3] << OP_0 << std::vector<uint8_t>(3, 32);
+    included_scripts[4] << OP_4 << OP_ADD << OP_8 << OP_EQUAL;
+
+    // OP_RETURN output is an output on the second transaction.
+    excluded_scripts[0] << OP_RETURN << std::vector<uint8_t>(4, 40);
+
+    // This script is not related to the block at all.
+    excluded_scripts[1] << std::vector<uint8_t>(5, 33) << OP_CHECKSIG;
+
+    CMutableTransaction tx_1;
+    tx_1.vout.emplace_back(100 * SATOSHI, included_scripts[0]);
+    tx_1.vout.emplace_back(200 * SATOSHI, included_scripts[1]);
+
+    CMutableTransaction tx_2;
+    tx_2.vout.emplace_back(300 * SATOSHI, included_scripts[2]);
+    tx_2.vout.emplace_back(0 * SATOSHI, excluded_scripts[0]);
+    // Script is empty
+    tx_2.vout.emplace_back(400 * SATOSHI, excluded_scripts[2]);
+
+    CBlock block;
+    block.vtx.push_back(MakeTransactionRef(tx_1));
+    block.vtx.push_back(MakeTransactionRef(tx_2));
+
+    CBlockUndo block_undo;
+    block_undo.vtxundo.emplace_back();
+    block_undo.vtxundo.back().vprevout.emplace_back(
+        CTxOut(500 * SATOSHI, included_scripts[3]), 1000, true);
+    block_undo.vtxundo.back().vprevout.emplace_back(
+        CTxOut(600 * SATOSHI, included_scripts[4]), 10000, false);
+    block_undo.vtxundo.back().vprevout.emplace_back(
+        CTxOut(700 * SATOSHI, excluded_scripts[2]), 100000, false);
+
+    BlockFilter block_filter(BlockFilterType::BASIC, block, block_undo);
+    const GCSFilter &filter = block_filter.GetFilter();
+
+    for (const CScript &script : included_scripts) {
+        BOOST_CHECK(
+            filter.Match(GCSFilter::Element(script.begin(), script.end())));
+    }
+    for (const CScript &script : excluded_scripts) {
+        BOOST_CHECK(
+            !filter.Match(GCSFilter::Element(script.begin(), script.end())));
+    }
+}
+
+BOOST_AUTO_TEST_CASE(blockfilters_json_test) {
+    UniValue json;
+    std::string json_data(json_tests::blockfilters,
+                          json_tests::blockfilters +
+                              sizeof(json_tests::blockfilters));
+    if (!json.read(json_data) || !json.isArray()) {
+        BOOST_ERROR("Parse error.");
+        return;
+    }
+
+    const UniValue &tests = json.get_array();
+    for (size_t i = 0; i < tests.size(); i++) {
+        UniValue test = tests[i];
+        std::string strTest = test.write();
+
+        if (test.size() == 1) {
+            continue;
+        } else if (test.size() < 7) {
+            BOOST_ERROR("Bad test: " << strTest);
+            continue;
+        }
+
+        size_t pos = 0;
+        /*int block_height =*/test[pos++].get_int();
+        /*uint256 block_hash =*/ParseHashStr(test[pos++].get_str(),
+                                             "block_hash");
+
+        CBlock block;
+        BOOST_REQUIRE(DecodeHexBlk(block, test[pos++].get_str()));
+
+        CBlockUndo block_undo;
+        block_undo.vtxundo.emplace_back();
+        CTxUndo &tx_undo = block_undo.vtxundo.back();
+        const UniValue &prev_scripts = test[pos++].get_array();
+        for (size_t ii = 0; ii < prev_scripts.size(); ii++) {
+            std::vector<uint8_t> raw_script =
+                ParseHex(prev_scripts[ii].get_str());
+            CTxOut txout(0 * SATOSHI,
+                         CScript(raw_script.begin(), raw_script.end()));
+            tx_undo.vprevout.emplace_back(txout, 0, false);
+        }
+
+        uint256 prev_filter_header_basic =
+            ParseHashStr(test[pos++].get_str(), "prev_filter_header_basic");
+        std::vector<uint8_t> filter_basic = ParseHex(test[pos++].get_str());
+        uint256 filter_header_basic =
+            ParseHashStr(test[pos++].get_str(), "filter_header_basic");
+
+        BlockFilter computed_filter_basic(BlockFilterType::BASIC, block,
+                                          block_undo);
+        BOOST_CHECK(computed_filter_basic.GetFilter().GetEncoded() ==
+                    filter_basic);
+
+        uint256 computed_header_basic =
+            computed_filter_basic.ComputeHeader(prev_filter_header_basic);
+        BOOST_CHECK(computed_header_basic == filter_header_basic);
+    }
+}
+
 BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/data/blockfilters.json b/src/test/data/blockfilters.json
new file mode 100644
--- /dev/null
+++ b/src/test/data/blockfilters.json
@@ -0,0 +1,9 @@
+[
+["Block Height,Block Hash,Block,[Prev Output Scripts for Block],Previous Basic Header,Basic Filter,Basic Header,Notes"],
+[0,"000000000933ea01ad0ee984209779baaec3ced90fa3f408719526f8d77f4943","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",[],"0000000000000000000000000000000000000000000000000000000000000000","019dfca8","21584579b7eb08997773e5aeff3a7f932700042d0ed2a6129012b7d7ae81b750","Genesis block"],
+[2,"000000006c02c8ea6e4ff69651f7fcde348fb9d557a06e6957b65552002a7820","0100000006128e87be8b1b4dea47a7247d5528d2702c96826c7a648497e773b800000000e241352e3bec0a95a6217e10c3abb54adfa05abb12c126695595580fb92e222032e7494dffff001d00d235340101000000010000000000000000000000000000000000000000000000000000000000000000ffffffff0e0432e7494d010e062f503253482fffffffff0100f2052a010000002321038a7f6ef1c8ca0c588aa53fa860128077c9e6c11e6830f4d7ee4e763a56b7718fac00000000",[],"d7bdac13a59d745b1add0d2ce852f1a0442e8945fc1bf3848d3cbffd88c24fe1","0174a170","186afd11ef2b5e7e3504f2e8cbf8df28a1fd251fe53d60dff8b1467d1b386cf0",""],
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