diff --git a/include/nlohmann/detail/input/binary_reader.hpp b/include/nlohmann/detail/input/binary_reader.hpp
index 778beaf19..bd2b2468d 100644
--- a/include/nlohmann/detail/input/binary_reader.hpp
+++ b/include/nlohmann/detail/input/binary_reader.hpp
@@ -344,8 +344,8 @@ class binary_reader
     nested document could declare a length that disagrees with where its
     terminator actually falls and quietly hand the bytes in between to the
     enclosing document. A well-formed document is at least 5 bytes (the prefix
-    plus the terminator); the equality also rejects those impossible sizes,
-    since at least 5 bytes are always consumed.
+    plus the terminator); open_bson_document() rejects a smaller size before
+    it is stored, so @a document_size is never negative here.
 
     @param[in] document_start  value of chars_read before the size prefix
     @param[in] document_size   the declared document size
@@ -5075,8 +5075,9 @@ class binary_reader
   JSON_PRIVATE_UNLESS_TESTED:
     /*!
     @brief check whether @a marker is a type marker that may follow '$'
-    UBJSON: Z N T F i U I l L d D H C S [ {; BJData: the numeric markers and C
-    (BJData's excluded markers are rejected separately).
+    UBJSON: Z N T F i U I l L d D H C S [ {; BJData: the numeric markers and C.
+    The markers BJData excludes (F H N S T Z [ {) are the ones
+    binary_writer::is_bjdata_excluded_type_marker() lists; keep the two in sync.
     */
     bool is_valid_optimized_type(const char_int_type marker) const noexcept
     {
@@ -5111,20 +5112,6 @@ class binary_reader
         }
     }
 
-    /*!
-    @brief whether @a marker is excluded from BJData's optimized ND-array types
-    @return whether @a marker is one of 'F', 'H', 'N', 'S', 'T', 'Z', '[', '{'
-
-    Mirrors binary_writer's @ref binary_writer::is_bjdata_excluded_type_marker
-    "is_bjdata_excluded_type_marker()`, which encodes the same list the other
-    way; keep the two in sync.
-    */
-    static constexpr bool is_bjd_excluded_optimized_type(const char_int_type marker) noexcept
-    {
-        return marker == '[' || marker == '{' || marker == 'S' || marker == 'H'
-               || marker == 'T' || marker == 'F' || marker == 'N' || marker == 'Z';
-    }
-
     /*!
     @brief look up the ND-array element type name for a BJData dtype marker
     @return the type name ("uint8", "int8", ...), or nullptr if @a marker does
diff --git a/include/nlohmann/detail/output/binary_writer.hpp b/include/nlohmann/detail/output/binary_writer.hpp
index 62702524e..3b2f72901 100644
--- a/include/nlohmann/detail/output/binary_writer.hpp
+++ b/include/nlohmann/detail/output/binary_writer.hpp
@@ -4057,7 +4057,7 @@ class binary_writer
     Containers, strings, high-precision numbers, booleans and null cannot be
     declared as the single type of an optimized container in BJData; such a
     container is written unoptimized. The reader rejects them with the same
-    list (binary_reader::is_bjd_excluded_optimized_type()).
+    list (binary_reader::is_valid_optimized_type()).
     */
     static constexpr bool is_bjdata_excluded_type_marker(const CharType marker) noexcept
     {
diff --git a/single_include/nlohmann/json.hpp b/single_include/nlohmann/json.hpp
index 37f4b5901..e864507b9 100644
--- a/single_include/nlohmann/json.hpp
+++ b/single_include/nlohmann/json.hpp
@@ -18351,8 +18351,8 @@ class binary_reader
     nested document could declare a length that disagrees with where its
     terminator actually falls and quietly hand the bytes in between to the
     enclosing document. A well-formed document is at least 5 bytes (the prefix
-    plus the terminator); the equality also rejects those impossible sizes,
-    since at least 5 bytes are always consumed.
+    plus the terminator); open_bson_document() rejects a smaller size before
+    it is stored, so @a document_size is never negative here.
 
     @param[in] document_start  value of chars_read before the size prefix
     @param[in] document_size   the declared document size
@@ -23082,8 +23082,9 @@ class binary_reader
   JSON_PRIVATE_UNLESS_TESTED:
     /*!
     @brief check whether @a marker is a type marker that may follow '$'
-    UBJSON: Z N T F i U I l L d D H C S [ {; BJData: the numeric markers and C
-    (BJData's excluded markers are rejected separately).
+    UBJSON: Z N T F i U I l L d D H C S [ {; BJData: the numeric markers and C.
+    The markers BJData excludes (F H N S T Z [ {) are the ones
+    binary_writer::is_bjdata_excluded_type_marker() lists; keep the two in sync.
     */
     bool is_valid_optimized_type(const char_int_type marker) const noexcept
     {
@@ -23118,20 +23119,6 @@ class binary_reader
         }
     }
 
-    /*!
-    @brief whether @a marker is excluded from BJData's optimized ND-array types
-    @return whether @a marker is one of 'F', 'H', 'N', 'S', 'T', 'Z', '[', '{'
-
-    Mirrors binary_writer's @ref binary_writer::is_bjdata_excluded_type_marker
-    "is_bjdata_excluded_type_marker()`, which encodes the same list the other
-    way; keep the two in sync.
-    */
-    static constexpr bool is_bjd_excluded_optimized_type(const char_int_type marker) noexcept
-    {
-        return marker == '[' || marker == '{' || marker == 'S' || marker == 'H'
-               || marker == 'T' || marker == 'F' || marker == 'N' || marker == 'Z';
-    }
-
     /*!
     @brief look up the ND-array element type name for a BJData dtype marker
     @return the type name ("uint8", "int8", ...), or nullptr if @a marker does
@@ -32017,7 +32004,7 @@ class binary_writer
     Containers, strings, high-precision numbers, booleans and null cannot be
     declared as the single type of an optimized container in BJData; such a
     container is written unoptimized. The reader rejects them with the same
-    list (binary_reader::is_bjd_excluded_optimized_type()).
+    list (binary_reader::is_valid_optimized_type()).
     */
     static constexpr bool is_bjdata_excluded_type_marker(const CharType marker) noexcept
     {
diff --git a/tests/src/unit-bjdata.cpp b/tests/src/unit-bjdata.cpp
index 04ee3acc4..9924dd804 100644
--- a/tests/src/unit-bjdata.cpp
+++ b/tests/src/unit-bjdata.cpp
@@ -78,23 +78,25 @@ TEST_CASE("BJData")
 {
     SECTION("binary_reader BJData lookup tables")
     {
-        // both lookups are static member functions
+        // bjd_type_name() is static; is_valid_optimized_type() needs a BJData reader
         std::vector<std::uint8_t> const data;
         using reader_t = nlohmann::detail::binary_reader<json, decltype(nlohmann::detail::input_adapter(data))>;
 
-        // the excluded optimized-type markers must match binary_writer's
-        // is_bjdata_excluded_type_marker(), which encodes the same 8 markers
+        // the markers BJData excludes as optimized types must match
+        // binary_writer's is_bjdata_excluded_type_marker(), which encodes the
+        // same 8 markers
+        reader_t reader(nlohmann::detail::input_adapter(data), json::input_format_t::bjdata);
         for (const char marker :
-                {'[', '{', 'S', 'H', 'T', 'F', 'N', 'Z'
+                {'[', '{', 'S', 'H', 'T', 'F', 'N', 'Z', 'x'
                 })
         {
-            CHECK(reader_t::is_bjd_excluded_optimized_type(static_cast<unsigned char>(marker)));
+            CHECK(!reader.is_valid_optimized_type(static_cast<unsigned char>(marker)));
         }
         for (const char marker :
-                {'U', 'i', 'u', 'I', 'm', 'l', 'M', 'L', 'd', 'D', 'C', 'B', 'x'
+                {'U', 'i', 'u', 'I', 'm', 'l', 'M', 'L', 'd', 'D', 'C', 'B', 'h'
                 })
         {
-            CHECK(!reader_t::is_bjd_excluded_optimized_type(static_cast<unsigned char>(marker)));
+            CHECK(reader.is_valid_optimized_type(static_cast<unsigned char>(marker)));
         }
 
         // every dtype marker must round-trip to its ND-array type name