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Multiply 4 with 6 over GF(8) by using a Shift Register

Multiply 4 with 6 over GF(8) by using a Shift Register. Representation of GF(8). The power table of GF(8). E .g. NOTE : THE POWER TABLE WILL BE GIVEN TO YOU, THERE IS NO NEED TO REMEMBER BY HEART !!!. Multiplication by using the power table . E.g.

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Multiply 4 with 6 over GF(8) by using a Shift Register

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  1. Multiply 4 with 6 over GF(8) byusing a Shift Register

  2. Representation of GF(8)

  3. The power table of GF(8) E.g. NOTE: THE POWER TABLE WILL BE GIVEN TO YOU, THERE IS NO NEED TO REMEMBER BY HEART !!!

  4. Multiplication by using the power table E.g.

  5. Multiplication by Shift Registers over GF(8) E.g. multiply four with a general element From the power table we know that this is From the power table we know that this is y+1 In the next tick of the clock signal

  6. Multiplication of 4 with 6 over GF(8) In the next tick of the clock signal Indeed 4*6=5 over GF(8)

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