Ising machines are expected to solve combinatorial optimization problems efficiently by representing them as Ising models or equivalent quadratic unconstrained binary optimization (QUBO) models . However, upper bound exists on the computable problem size due to the hardware limitations of Ising machines. This paper propose a new hybrid annealing method based on partial QUBO extraction, called subQUBO model extraction, with multiple solution instances. For a given QUBO model, the proposed method obtains$N_I$quasi-optimal solutions (quasi-ground-state solutions) in some way using a classical computer. The solutions giving these quasi-optimal solutions are calledsolution instances. We extract a size-limited subQUBO model as follows based on a strong theoretical background: we randomly select$N_S$$(N_S

Scan test is a powerful test technique which can control and observe the internal states of the circuit under test through scan chains. However, it has been reported that it's possible to retrieve secret keys from cryptographic LSIs through scan chains. Therefore new secure test methods are required to satisfy both testability and security requirements. In this paper, a secure scan design is proposed to achieve adequate security requirement as a countermeasure against scan-based attacks, while still maintain high testability like normal scan testing. In our method, the internal scan chain is divided into several sub chains, and the connection order of sub chains can be dynamically changed. In addition, how to decide the connection order of those sub chains so that it can't be identified by an attacker is also proposed in this paper. The proposed method is implemented on an AES circuit to show its effectiveness, and a security analysis is also given to show how the proposed approach can be used as a countermeasure against those known scan-based attacks.