diff --git a/fuzz_test.go b/fuzz_test.go
new file mode 100644
index 0000000..0a6d0dd
--- /dev/null
+++ b/fuzz_test.go
@@ -0,0 +1,50 @@
+//go:build go1.18
+// +build go1.18
+
+// Fuzzing test(s) are gated behind build tags in order to avoid generating errors
+// when running on versions of Go that do not support fuzzing. This was added in
+// Go 1.18.
+
+package ber
+
+import (
+	"os"
+	"testing"
+	"time"
+)
+
+func FuzzDecodePacket(f *testing.F) {
+	// Seed the fuzz corpus with the test cases defined in suite_test.go
+	for _, tc := range testCases {
+		file := tc.File
+
+		dataIn, err := os.ReadFile(file)
+		if err != nil {
+			f.Fatalf("failed to load file %s into fuzz corpus: %v", file, err)
+			continue
+		}
+		f.Add(dataIn)
+	}
+
+	// Seed the fuzz corpus with data known to cause panics in the past
+	f.Add([]byte{0x09, 0x02, 0x85, 0x30})
+	f.Add([]byte{0x09, 0x01, 0xcf})
+
+	// Set a limit on the length decoded in readPacket() since the call to
+	// make([]byte, length) can allocate up to MaxPacketLengthBytes which is
+	// currently 2 GB. This can cause memory related crashes when fuzzing in
+	// parallel or on memory constrained devices.
+	MaxPacketLengthBytes = 65536
+	f.Fuzz(func(t *testing.T, data []byte) {
+		stime := time.Now()
+		p, err := DecodePacketErr(data)
+
+		if e := time.Since(stime); e > (time.Millisecond * 500) {
+			t.Fatalf("DecodePacketErr took too long: %s", e)
+		}
+
+		if p == nil && err == nil {
+			t.Fatalf("DecodePacketErr returned a nil packet and no error")
+		}
+	})
+}
diff --git a/real.go b/real.go
index 610a003..9f637a5 100644
--- a/real.go
+++ b/real.go
@@ -89,12 +89,18 @@ func parseBinaryFloat(v []byte) (float64, error) {
 	case 0x02:
 		expLen = 3
 	case 0x03:
+		if len(v) < 2 {
+			return 0.0, errors.New("invalid data")
+		}
 		expLen = int(v[0])
 		if expLen > 8 {
 			return 0.0, errors.New("too big value of exponent")
 		}
 		v = v[1:]
 	}
+	if expLen > len(v) {
+		return 0.0, errors.New("too big value of exponent")
+	}
 	buf, v = v[:expLen], v[expLen:]
 	exponent, err := ParseInt64(buf)
 	if err != nil {