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Polynomials

Polynomials used for error correction, signature analysis and generating pseudo random numbers.

  Degree     Polynomial     Remarks  
2 x2+x+1  
3 x3+x+1  
4 x4+x+1  
5 x5+x2+1  
6 x6+x+1  
7 x7+x3+1  
8 x8+x6+x5+x3+1  
8 x8+x2+x+1 ATM
9 x9+x4+x1  
10 x10+x3+1  
10 x10+x9+x5+x4+x+1 ATM  
11 x11+x2+1  
12 x12+x11+x3+x2+1  
12 x12+x6+x4+x+1  
13 x13+x4+x3+x+1  
14 x14+x10+x6+x+1  
15 x15+x+1  
16 x16+x12+x3+x+1  
16 x16+x12+x5+1 CCITT  
16 x16+x15+x2+1  
16 x16+x15+x5+1 ANSI
17 x17+x3+1  
18 x18+x7+x+1  
19 x19+x5+x2+x+1  
20 x20+x3+1  
32 x32+x26+x23+x16+x12+x11+x10+x8+x7+x5+x4+x2+x+1 Ethernet, Token Ring FDDI networks

 

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(c) Compiled by B V Wood.

 

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