• The KIPS Transactions:PartC
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• v.11C no.3
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• pp.287-292
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• 2004

BOCC(Brand's Offline Cash with a Counter) is useful in mobile environments, but it has the possibility of attacking amount data in a smart card. To insert the upper & lower limitation of amount into a token data decreases the level of risk. If upper and lower values are same, it means a fixed amount token. Since refund can more often happen in on-line commerce, refundability is added. BOCC is based on Discrete Logarithm Problem, needs exponential computations. But mobile terminals like cell phones have low computational power. As a result, ECC is used to Improve the performance supporting same security level.