Encrypted conjunctive search enables server to perform efficient conjunctive query over encrypted data while guaranteeing data and query privacy. The well-known Oblivious Cross-Tags (OXT) protocol (by Cash et al. in CRYPTO 2013) is the first to realize efficient conjunctive search with some well-defined leakage, such as the keyword pair result pattern (KPRP) leakage and the cross-query intersection result pattern (IP) leakage. To mitigate the potential threats brought by the leakage, much effort has been made to reduce the information leaked by OXT. However, it is still open to achieve encrypted conjunctive search without revealing both KPRP and IP, while preserving high-efficiency.