2018-04-16 03:24:30 -0600 received badge ● Student (source) 2018-04-16 03:00:46 -0600 asked a question Element to sequence in extension filed I have constructed a big prime field: p=68235916425158872634653027 F=GF(p) And then I make two extension field E1=GF(p^2) E2=GF(p^6) It is obvious that E2 is the extension field of E1. Now how can I express the element in E2 with the basis in E1. 2018-04-16 03:00:46 -0600 asked a question Element to sequence in field extension I have constructed a big prime field: p = 68235916425158872634653027 F = GF(p)  And then I make two extension fields E1 = GF(p^2) E2 = GF(p^6)  It is obvious that E2 is a field extension of E1. Now how can I express the element in E2 with the basis in E1.