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Galois field

   Also found in: Acronyms, Wikipedia 0.03 sec.
Galois field [′gal‚wä ‚fēld]
(mathematics)
A type of field extension obtained from considering the coefficients and roots of a given polynomial. Also known as root field; splitting field.


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The AES-GCM core integrates a Galois Field multiplier and an AES core to meet high data-rate requirements of many security applications such as MACsec, IPsec, tape storage and Fibre Channel security.
In hardware implementation, the use of Galois fields greatly reduces the amount of hardware required, while increasing the performance.
The additions to the AccelWare IP include parameterized models for a Viterbi decoder, Galois field operators, polyphase decimation filters with programmable coefficients, radix-4 FFTs and IFFTs, and FIR filter serial-distributed arithmetic (SDA) and parallel-distributed arithmetic (PDA) architectures.
 
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