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 ?
The coefficients used to encode the data packets are extracted from a Galois field of size q.
The use of different extended Galois Fields GF(257.
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.
Maria Jose Canet and Javier Valls Reduced-Complexity Nonbinary LDPC Decoder for High-Order Galois Fields Based on Trellis Min-Max Algorithm IEEE TRANSACTIONS on very large scale integration (VLSI) Systems.
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.