Skip to main content

Timeline for Finite field special functions

Current License: CC BY-SA 4.0

16 events
when toggle format what by license comment
Aug 28, 2019 at 9:32 comment added user144684 Actually (0) (13) (26) (45) is exponential with multiplier 2 I checked
Aug 27, 2019 at 21:26 comment added Peter Taylor @user144684, I'm not sure what misfire of the brain caused me to see that as an exponential relationship. Trying to find the appropriate term to correct it to.
Aug 27, 2019 at 11:26 comment added user144684 I am trying to understand why (0) (13) (26) (45) is exponential. which multiplier works here ?
Aug 26, 2019 at 21:08 comment added user144684 Running 37 minutes GF(31) - 0 results for now
Aug 26, 2019 at 20:46 comment added Peter Taylor @user144684, that's $f(0), f(1), f(2), \ldots, f(6)$.
Aug 26, 2019 at 20:15 comment added user144684 I see the following output for GF(7): 0, 3, 6, 1, 5, 4, 2 It is either by bug or I can't read this line
Aug 26, 2019 at 18:53 comment added user144684 Thanks a lot !!!
Aug 26, 2019 at 10:54 comment added Peter Taylor gist.github.com/pjt33/42a3bd6eaae04b8f74163825021a9d03
Aug 25, 2019 at 14:38 comment added user144684 Can ask you to shared your search algorithm in some programming language ?
Aug 22, 2019 at 16:32 comment added user144684 Amazing result !!
Aug 22, 2019 at 15:08 history edited Peter Taylor CC BY-SA 4.0
added 11904 characters in body
Aug 22, 2019 at 10:33 comment added user144684 Little note: all of such functions produces starter. I'd give the name for such starter.
Aug 22, 2019 at 10:29 comment added Peter Taylor Hmm. These examples are all exponential (specifically, $f(2x) = 2f(x)$). I should be able to enumerate exponential functions much more efficiently, so I can check whether this class extends to $GF(127)$...
Aug 22, 2019 at 10:15 comment added Peter Taylor Incidentally, since there's no use of multiplication in the definition of these functions, it just occurred to me to try searching for suitable functions over $Z_{15}$, and there is one pair, with representative $0(1,4)(2,8)(3,14)(5,10)(6,13)(7,9)(11,12)$.
Aug 22, 2019 at 9:54 comment added user144684 Good idea to use algorithmic approach, great results !!! I tried to find using mathematical abstractions.
Aug 22, 2019 at 9:00 history answered Peter Taylor CC BY-SA 4.0