diff --git a/tests/invalid-elf.sh b/tests/invalid-elf.sh
index cb7f830..57d23fd 100755
--- a/tests/invalid-elf.sh
+++ b/tests/invalid-elf.sh
@@ -16,7 +16,7 @@ TEST_DIR=$(dirname $(readlink -f $0))/invalid-elf
 # Each test case is listed here. The names should roughly indicate
 # what makes the given ELF file invalid.
 TEST_CASES="invalid-shrstrtab-idx invalid-shrstrtab-size invalid-shrstrtab-zero
-            invalid-shrstrtab-nonterm"
+            invalid-shrstrtab-nonterm invalid-shdr-name"
 
 FAILED_TESTS=""
 
diff --git a/tests/invalid-elf/invalid-shdr-name b/tests/invalid-elf/invalid-shdr-name
new file mode 100644
index 0000000..394f13b
Binary files /dev/null and b/tests/invalid-elf/invalid-shdr-name differ