Suken BINGO: An Application of Card-Based Cryptography to Psychological Board Games
摘要
BINGO is a classic game where players compete to complete a line on a \(5 \times 5\) grid card. Since it typically requires a specialized bingo machine, spontaneous BINGO play is challenging. To overcome this, we introduce Suken BINGO, a new board game that allows players to declare integers verbally, similar to the Japanese hand game Suken, eliminating the need for a bingo machine. Furthermore, we propose Secret Suken BINGO by combining Suken BINGO with card-based cryptography. In this secure variant, players conceal the integers on their BINGO cards throughout the game, which enhances the enjoyment of psychological maneuvering and strategic depth. We then detail the implementation and discuss the security and efficiency of the proposed protocol.