Calculate CRC-6 GSM using lookup table

Calculate CRC-6 GSM using lookup table

Calculating CRC6 GSM using a lookup table significantly speeds up the process by pre-computing the CRC values for all possible 8-bit input bytes. The CRC6 GSM polynomial is $x^6 + x^3 + 1$. A lookup table, typically of size 256 entries, stores the CRC result for each byte value from 0 to 255. To calculate the CRC of a data stream, each byte is processed sequentially. For each byte, the current CRC state is XORed with the byte shifted appropriately, and the result is used as an index into the lookup table. The value retrieved from the table is then XORed with the shifted CRC state to produce the new CRC state. This bitwise operation effectively incorporates the byte's data into the CRC calculation. The final CRC value is obtained after processing all bytes in the data stream.

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