List of symbols | |
p | odd prime number |
m | positive integer, mainly denotes the extension degree |
| one of the factors of m |
q | power of the odd prime |
k | prime factor of such as |
| odd characteristic prime field |
| an extension field (base p and extension degree m) |
| sub extension field |
| multiplicative group of , excluding the 0 such as |
| a primitive polynomial |
| root of an irreducible polynomial |
g | generator of a group |
A | an arbitrary element in |
| trace function maps element to element |
| primitive k-th root of unity |
| mapping function maps element to element |
| proposed sequence in this paper |
n | period of a sequence |
| autocorrelation of a sequence |
| cross-correlation between the sequences and |