Abstract: A user station for a serial bus system. The user station includes a communication control device for controlling a communication of the user station with at least one other user station, and a transceiver device to serially transmit a transmission signal generated by the communication control device onto a bus and to serially receive signals from the bus. The communication control device generates the transmission signal according to a frame, and inserts a header check sum into the frame, only bits of a frame header that is situated in front of a data field provided for useful data in the frame being included in the computation. For computing the header check sum, the communication control device uses a predetermined starting value and a predetermined check sum polynomial.

Abstract: A user station for a serial bus system. The user station includes a communication control device for controlling a communication of the user station with at least one other user station, and a transceiver device to serially transmit a transmission signal generated by the communication control device onto a bus and to serially receive signals from the bus. The communication control device generates the transmission signal according to a frame, and inserts a header check sum into the frame, only bits of a frame header that is situated in front of a data field provided for useful data in the frame being included in the computation. For computing the header check sum, the communication control device uses a predetermined starting value and a predetermined check sum polynomial.

Abstract: A method for calculating a modular multiplication of integers a and b or polynomials a(x) and b(x) for a modulus N. The method including (i) calculating a supplemental product continued fraction c=(ab+jN)/t by supplementing particular numerators of a product fraction (ab)/t represented as a continued fraction, and (ii) calculating a second supplemental product continued fraction r=(cd+kN)/t from a previously calculated modular remainder d=RN[t2] and the calculated supplemental product continued fraction c.