Apparatus and method for cyclic redundancy check
US-2016371142-A1 · Dec 22, 2016 · US
US9201847B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9201847-B2 |
| Application number | US-201214123761-A |
| Country | US |
| Kind code | B2 |
| Filing date | May 25, 2012 |
| Priority date | Sep 9, 2011 |
| Publication date | Dec 1, 2015 |
| Grant date | Dec 1, 2015 |
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A composite finite field multiplier is disclosed. The multiplier includes a controller, an input port, an output port, a GF((2 n ) 2 ) multiplier, a GF(2 n ) standard basis multiplier, and a GF(2 n ) look-up table multiplier; the controller is connected respectively to the input port, the output port, the GF((2 n ) 2 ) multiplier, the GF(2 n ) standard basis multiplier and the GF(2 n ) look-up table multiplier; the GF((2 n ) 2 ) multiplier is connected respectively to the GF(2 n ) standard basis multiplier and the GF(2 n ) look-up table multiplier. By using the GF((2 n ) 2 ) multiplier, the GF(2 n ) standard basis multiplier and the GF(2 n ) look-up table multiplier, the multiplication of three operands is realized. Compared with the existing multiplier, the multiplier of the present invention has significant advantages in the speed of multiplying three operands over GF((2 n ) m ).
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What is claimed is: 1. A composite finite field multiplier, comprising: an input port, configured to input an operand a(x), an operand b(x), an operand c(x), an irreducible polynomial p(x) selected over the GF(2 n ) field, an irreducible polynomial q(x) selected over the GF((2 n ) m ) field and a control signal k; a GF(2 n ) standard basis multiplier, configured to implement the multiplication (a(x)×b(x)×c(x))mod(p(x)) of the three operands a(x), b(x) and c(x) on the standard b…
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