diff --git a/core/state_transition.go b/core/state_transition.go
index 497c01f5eec..c8c580722c1 100644
--- a/core/state_transition.go
+++ b/core/state_transition.go
@@ -405,7 +405,11 @@ func (st *StateTransition) TransitionDb(refunds bool, gasBailout bool) (*evmtype
 			}
 
 			// 7. set authority code
-			st.state.SetCode(authority, types.AddressToDelegation(auth.Address))
+			if auth.Address == (libcommon.Address{}) {
+				st.state.SetCode(authority, nil)
+			} else {
+				st.state.SetCode(authority, types.AddressToDelegation(auth.Address))
+			}
 
 			// 8. increase the nonce of authority
 			st.state.SetNonce(authority, authorityNonce+1)
diff --git a/core/types/authorization.go b/core/types/authorization.go
index a4dea12e02b..7c6acbfbb85 100644
--- a/core/types/authorization.go
+++ b/core/types/authorization.go
@@ -71,6 +71,16 @@ func (ath *Authorization) RecoverSigner(data *bytes.Buffer, b []byte) (*libcommo
 	copy(sig[32-len(r):32], r)
 	copy(sig[64-len(s):64], s)
 
+	if ath.Nonce == 1<<64-1 {
+		return nil, errors.New("Failed assertion: auth.nonce < 2**64 - 1")
+	}
+	if _, overflow := ath.ChainID.Uint64WithOverflow(); overflow {
+		return nil, errors.New("Failed assertion: auth.chain_id < 2**64")
+	}
+	if ath.V.GtUint64(1 << 8) {
+		return nil, errors.New("Failed assertion: auth.y_parity < 2**8")
+	}
+
 	if ath.V.Eq(u256.Num0) || ath.V.Eq(u256.Num1) {
 		sig[64] = byte(ath.V.Uint64())
 	} else {
diff --git a/erigon-lib/common/fixedgas/protocol.go b/erigon-lib/common/fixedgas/protocol.go
index 03590bb2b1a..cc73737a733 100644
--- a/erigon-lib/common/fixedgas/protocol.go
+++ b/erigon-lib/common/fixedgas/protocol.go
@@ -39,5 +39,5 @@ const (
 
 	// EIP-7702: set code tx
 	PerEmptyAccountCost = 25000
-	PerAuthBaseCost     = 2500
+	PerAuthBaseCost     = 12500
 )
diff --git a/tests/exec_spec_test.go b/tests/exec_spec_test.go
index 4a21a237acd..d8ea375f79a 100644
--- a/tests/exec_spec_test.go
+++ b/tests/exec_spec_test.go
@@ -32,15 +32,6 @@ func TestExecutionSpec(t *testing.T) {
 	bt := new(testMatcher)
 
 	dir := filepath.Join(".", "execution-spec-tests")
-
-	// bt.skipLoad(`^`)
-
-	// // TODO(yperbasis) make it work
-	// bt.skipLoad(`^prague/eip2935_historical_block_hashes_from_state/block_hashes/block_hashes_history.json`)
-	// bt.skipLoad(`^prague/eip7251_consolidations/`)
-	// bt.skipLoad(`^prague/eip7685_general_purpose_el_requests/`)
-	// bt.skipLoad(`^prague/eip7002_el_triggerable_withdrawals/`)
-	bt.skipLoad(`^prague/eip7702_set_code_tx/`)
 	checkStateRoot := true
 
 	bt.walk(t, dir, func(t *testing.T, name string, test *BlockTest) {