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POLYNOMIALS

Polynomial are 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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