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2. Cyclic redundancy check - Wikipedia

   en.wikipedia.org/wiki/Cyclic_redundancy_check

   CRC-5-USB USB token packets 0x05 0x14 0x09 0x12 odd + + CRC-6-CDMA2000-A mobile networks [28] 0x27 0x39 0x33 0x33 odd CRC-6-CDMA2000-B mobile networks [28] 0x07 0x38 0x31 0x23 even CRC-6-DARC Data Radio Channel [29] 0x19 0x26 0x0D 0x2C even CRC-6-GSM: mobile networks [25] 0x2F 0x3D 0x3B 0x37 even yes [30] – – – – – –

3. Mathematics of cyclic redundancy checks - Wikipedia

   en.wikipedia.org/wiki/Mathematics_of_cyclic...

   All practical CRC generator polynomials have non-zero and coefficients. It is very common to convert this to a string of binary bits by omitting the coefficient. This bit string may then be converted to a binary number using one of two conventions:

4. Computation of cyclic redundancy checks - Wikipedia

   en.wikipedia.org/wiki/Computation_of_cyclic...

   big_endian_table[0] := 0 crc := 0x8000 // Assuming a 16-bit polynomial i := 1 do { if crc and 0x8000 { crc := (crc leftShift 1) xor 0x1021 // The CRC polynomial} else { crc := crc leftShift 1 } // crc is the value of big_endian_table[i]; let j iterate over the already-initialized entries for j from 0 to i−1 { big_endian_table[i + j] := crc ...

5. Error detection and correction - Wikipedia

   en.wikipedia.org/wiki/Error_detection_and_correction

   [2] [3] Between the 7th and 10th centuries CE a group of Jewish scribes formalized and expanded this to create the Numerical Masorah to ensure accurate reproduction of the sacred text. It included counts of the number of words in a line, section, book and groups of books, noting the middle stich of a book, word use statistics, and commentary. [ 1 ]

6. List of hash functions - Wikipedia

   en.wikipedia.org/wiki/List_of_hash_functions

   Bernstein's hash djb2 [2] 32 or 64 bits shift/add or mult/add or shift/add/xor or mult/xor PJW hash / Elf Hash: 32 or 64 bits add,shift,xor MurmurHash: 32, 64, or 128 bits product/rotation Fast-Hash [3] 32 or 64 bits xorshift operations SpookyHash 32, 64, or 128 bits see Jenkins hash function: CityHash [4] 32, 64, 128, or 256 bits FarmHash [5 ...

7. Error correction code - Wikipedia

   en.wikipedia.org/wiki/Error_correction_code

   [5] FEC can be applied in situations where re-transmissions are costly or impossible, such as one-way communication links or when transmitting to multiple receivers in multicast. Long-latency connections also benefit; in the case of satellites orbiting distant planets, retransmission due to errors would create a delay of several hours.