diff --git a/tests/core/pyspec/eth2spec/test/phase0/block_processing/test_process_attester_slashing.py b/tests/core/pyspec/eth2spec/test/phase0/block_processing/test_process_attester_slashing.py
index 063514498..724e5bf6f 100644
--- a/tests/core/pyspec/eth2spec/test/phase0/block_processing/test_process_attester_slashing.py
+++ b/tests/core/pyspec/eth2spec/test/phase0/block_processing/test_process_attester_slashing.py
@@ -197,6 +197,74 @@ def test_participants_already_slashed(spec, state):
 # Some of the following tests are phase0 only: phase 1 lists participants with bitfields instead of index list.
 
 
+@with_phases([PHASE0])
+@spec_state_test
+@always_bls
+def test_att1_high_index(spec, state):
+    attester_slashing = get_valid_attester_slashing(spec, state, signed_1=True, signed_2=True)
+
+    indices = get_indexed_attestation_participants(spec, attester_slashing.attestation_1)
+    indices.append(spec.ValidatorIndex(len(state.validators)))  # off by 1
+    attester_slashing.attestation_1.attesting_indices = indices
+
+    yield from run_attester_slashing_processing(spec, state, attester_slashing, False)
+
+
+@with_phases([PHASE0])
+@spec_state_test
+@always_bls
+def test_att2_high_index(spec, state):
+    attester_slashing = get_valid_attester_slashing(spec, state, signed_1=True, signed_2=True)
+
+    indices = get_indexed_attestation_participants(spec, attester_slashing.attestation_2)
+    indices.append(spec.ValidatorIndex(len(state.validators)))  # off by 1
+    attester_slashing.attestation_2.attesting_indices = indices
+
+    yield from run_attester_slashing_processing(spec, state, attester_slashing, False)
+
+
+EMPTY_SIGNATURE = b'\xc0' + (b'\x00' * 95)
+
+
+@with_phases([PHASE0])
+@spec_state_test
+@always_bls
+def test_att1_empty_indices(spec, state):
+    attester_slashing = get_valid_attester_slashing(spec, state, signed_1=False, signed_2=True)
+
+    attester_slashing.attestation_1.attesting_indices = []
+    attester_slashing.attestation_1.signature = EMPTY_SIGNATURE
+
+    yield from run_attester_slashing_processing(spec, state, attester_slashing, False)
+
+
+@with_phases([PHASE0])
+@spec_state_test
+@always_bls
+def test_att2_empty_indices(spec, state):
+    attester_slashing = get_valid_attester_slashing(spec, state, signed_1=True, signed_2=False)
+
+    attester_slashing.attestation_2.attesting_indices = []
+    attester_slashing.attestation_2.signature = EMPTY_SIGNATURE
+
+    yield from run_attester_slashing_processing(spec, state, attester_slashing, False)
+
+
+@with_phases([PHASE0])
+@spec_state_test
+@always_bls
+def test_all_empty_indices(spec, state):
+    attester_slashing = get_valid_attester_slashing(spec, state, signed_1=False, signed_2=False)
+
+    attester_slashing.attestation_1.attesting_indices = []
+    attester_slashing.attestation_1.signature = EMPTY_SIGNATURE
+
+    attester_slashing.attestation_2.attesting_indices = []
+    attester_slashing.attestation_2.signature = EMPTY_SIGNATURE
+
+    yield from run_attester_slashing_processing(spec, state, attester_slashing, False)
+
+
 @with_phases([PHASE0])
 @spec_state_test
 @always_bls