Calculating device and method

A calculating device arranged to perform calculations on elements of a ring (R), a ring addition and a ring multiplication being defined on the ring, the calculating device comprising

• an operand store arranged to store encoded ring elements, an encoded ring element representing an element of the ring in encoded form,
• an operator module comprising multiple operator units, at least one of the operator units being dyadic,
• a dyadic operator unit being arranged to
• receive an encoded ring element and a parameter, and
• perform a fixed calculation on said encoded ring element and the parameter, thus producing a new encoded ring element, and
• a calculation manager arranged to
• receive a first encoded ring element and a second encoded ring element,
• perform a ring multiplication by applying a sequence of the multiple operator units to the first encoded ring element using parameters obtained at least from the second encoded ring element, and
• perform a ring addition by applying a sequence of the multiple operator units to the first encoded ring element using parameters obtained at least from the second encoded ring element, wherein the sequence for the ring multiplication is the same as the sequence for the ring addition.