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Encryption Sample Data Problem

Original Post:  security (SIG Forum )    Date: 2000-11-14

Question:

    In page no. 902 of the Bluetooth specifications(Encryption Sample Data):

    It is given that for generating kc' from kc g1,g2 (for l=2) the kc mod g1 value is given as 1ff0 but i am getting 09c54. Is there a problem with the modulus operation?.

Answer:

    All the operations must be over GF(2^128) and not over the ring of integers Z_m, i.e., when multiplying or dividing, instead of using the normal arithmetic addition/subtraction, just use xor (faster and simpler). Unfortunately this does not seem to have been mentioned in earlier versions of the Bluetooth specs