An apparatus and method are provided for enhancing resilience to attacks on reset of the apparatus. The apparatus comprises at least one storage element, and update circuitry that is configured to receive obscuring data, and which is responsive to a reset event to store in each of the at least one storage element a data value that is dependent on the current value of the obscuring data. For each such storage element, this ensures that the data value stored in that storage element is unpredictable following each reset event, thereby preventing the reproducibility of certain steps that would typically be taken by an attacker during an attack on the apparatus.