Polynomials
Polynomials used for error correction, signature analysis and generating pseudo random numbers.
Degree
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Polynomial
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Remarks
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2
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x2+x+1
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3
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x3+x+1
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4
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x4+x+1
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5
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x5+x2+1
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6
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x6+x+1
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7
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x7+x3+1
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8
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x8+x6+x5+x3+1
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8
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x8+x2+x+1
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ATM
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9
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x9+x4+x1
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10
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x10+x3+1
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10
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x10+x9+x5+x4+x+1
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ATM
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11
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x11+x2+1
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12
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x12+x11+x3+x2+1
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12
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x12+x6+x4+x+1
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13
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x13+x4+x3+x+1
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14
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x14+x10+x6+x+1
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15
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x15+x+1
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16
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x16+x12+x3+x+1
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16
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x16+x12+x5+1
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CCITT
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16
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x16+x15+x2+1
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16
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x16+x15+x5+1
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ANSI
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17
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x17+x3+1
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18
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x18+x7+x+1
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19
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x19+x5+x2+x+1
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20
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x20+x3+1
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32
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x32+x26+x23+x16+x12+x11+x10+x8+x7+x5+x4+x2+x+1
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Ethernet,
Token Ring
FDDI networks
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(c) Compiled by B V Wood.
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