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Perhaps for large fields GF(p^m), that would normally use explicit calculation, a tower of GF(p^e^k) could be constructed. It would be such that GF(p^e) would use lookup tables. Then the degree-k extension of GF(p^e) would use explicit calculation. Certainly logarithms would be faster. Perhaps other arithmetic would be faster too.
This "tower-like" arithmetic will be necessary for Galois rings.
Perhaps add a parameter like allow_tower=True to galois.GF().
The text was updated successfully, but these errors were encountered:
Perhaps for large fields
GF(p^m)
, that would normally use explicit calculation, a tower ofGF(p^e^k)
could be constructed. It would be such thatGF(p^e)
would use lookup tables. Then the degree-k
extension ofGF(p^e)
would use explicit calculation. Certainly logarithms would be faster. Perhaps other arithmetic would be faster too.This "tower-like" arithmetic will be necessary for Galois rings.
Perhaps add a parameter like
allow_tower=True
togalois.GF()
.The text was updated successfully, but these errors were encountered: