Pure joint output/timing differential privacy is achievable in the unbounded setting with polynomially vanishing error when the input length is known to the RAM program, and that rate is essentially necessary.
Lucky microseconds: A timing attack on amazon’s s2n implementation of tls
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Securing Unbounded Differential Privacy Against Timing Attacks
Pure joint output/timing differential privacy is achievable in the unbounded setting with polynomially vanishing error when the input length is known to the RAM program, and that rate is essentially necessary.