Page 1264 - 5G Basics - Core Network Aspects
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2                                                 Transport aspects


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            The CRC-8 located in JC3 is calculated over the JC1 and JC2 bits. The CRC-8 uses the g(x) = x  + x  + x  + 1
            generator polynomial, and is calculated as follows:
            1)      The JC1 and JC2 octets are taken in network octet order, most significant bit first, to form a 16-bit
                    pattern representing the coefficients of a polynomial M(x) of degree 15.
            2)      M(x) is multiplied by x  and divided (modulo 2) by G(x), producing a remainder R(x) of degree 7 or
                                        8
                    less.
                                                                                    7
            3)      The coefficients of R(x) are considered to be an 8-bit sequence, where x  is the most significant bit.
            4)      This 8-bit sequence is the CRC-8 where the first bit of the CRC-8 to be transmitted is the coefficient
                        7
                                                                    0
                    of x  and the last bit transmitted is the coefficient of x .
            The de-mapper process performs steps 1-3 in the same manner as the mapper process, except that here,
            the  M(x)  polynomial  of  step  1  includes  the  CRC  bits  of  JC3,  resulting  in  M(x)  having  degree  23.  In  the
            absence of bit errors, the remainder shall be 0000 0000.

                             Table D.3 – 10-bit Cm(t) increment and decrement indicator patterns


               C1     C2     C3     C4     C5     C6     C7     C8     C9     C10     II   DI     Change
               U      U      U      U      U      U      U      U      U       U      0    0         0
                I     U       I     U       I     U       I     U       I      U      1    0        +1
                I     U      U       I     U       I      I     U      U        I     0    1        –1
               U       I     U       I      I     U      U       I     U        I     1    0        +2
               U       I      I     U      U       I     U       I      I      U      0    1        –2
                                           binary value                               1    1     More than
                                                                                                   +2/–2
             NOTE
             –  I indicates inverted Ci bit
             –  U indicates unchanged Ci bit
            The  CRC-6  located  in  JC3  is  calculated  over  bits  3-8  of  JC1  and  JC2  (i.e.,  the  bits  containing  the  GMP
                                                                          3
                                                                              2
                                                                      6
            overhead value shown in Table D.3). The CRC-6 uses the g(x) = x  + x  + x  + 1 generator polynomial, and is
            calculated as follows:
            1)      The JC1 and JC2 octets are taken in network octet order, most significant bit first, such that bit 3 of
                    JC1 through bit 8 of JC2 form a 12-bit pattern representing the coefficients of a polynomial M(x) of
                    degree 11.
                                        6
            2)      M(x) is multiplied by x  and divided (modulo 2) by G(x), producing a remainder R(x) of degree 5 or
                    less.
                                                                                   5
            3)      The coefficients of R(x) are considered to be a 6-bit sequence, where x  is the most significant bit.
            4)      This 6-bit sequence is the CRC-6 where the first bit of the CRC-6 to be transmitted is the coefficient
                        5
                                                                    0
                    of x  and the last bit transmitted is the coefficient of x .
            The de-mapper process performs steps 1-3 in the same manner as the mapper process, except that here,
            the  M(x)  polynomial  of  step  1  includes  the  CRC  bits  of  JC3,  resulting  in  M(x)  having  degree 17.  In  the
            absence of bit errors, the remainder shall be 000000.
















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