Galois field


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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.
References in periodicals archive ?
Galois Field Arithmetic Over GF(pm) For High-Speed/Low-Power Error-Control Applications.
1) When Galois field m = 8, the number of data source node sends each time: DataNum = 4, transmission radius of each node: radius = 3 x sqrt (scale) = 3 x 10 = 30, we test the relationship between decoding success probability and total node number NodeNum when three nodes are co-wiretapping.
2) When Galois field m = 8, total node number in network: NodeNum = 8, transmission radius of each node: radius = 3 x sqrt {scale) = 3 x 10 = 30, we test the relationship between decoding success probability and number DataNum of data sent by source node each time when three nodes are co-wiretapping.
3) When the number DataNum of data source node transmits each time is 5, total node number NodeNum = 8 and transmission radius of each node: radius = 3 x sqrt (scale) = 3 x 10 = 30, we test we test the relationship between decoding success probability and Galois field m when three nodes are co-wiretapping.
Second, if a device doesn't have enough resources, real-time computation of inverses of numbers for the S-Box in Galois Field environment becomes a bottleneck.
An implementation of Advanced Encryption Standard that uses the field of prime numbers instead of the Galois Field originally proposed by Rijndael has been investigated.
Keywords: -- pencils of conics, (q+1)-arcs, Galois fields, psychopathology of time
We have outlined a conceptually very important extension of our pencil concept of the time dimension in the case of Galois fields of characteristic two and order greater than four.
6 release of AccelChip DSP Synthesis, MATLAB algorithms that take advantage of binary Galois fields can now be synthesized directly to FPGA and ASIC hardware, resulting in faster and smaller implementations.