Answer each question with a minimum of 80 words per question:

1 answer below »

• Research and report on one practical example in use today of finite fields. For discussion, comment on the relevancy of each other's posts. • How does one explicitly construct a finite field of order pn? Give a description and an example that does not coincide with an example given by the textbook or other discussion posts.

Document Preview:

005_edhh85k-mmxpquq4.doc

Answered Same DayDec 20, 2021

Answer To: Answer each question with a minimum of 80 words per question:

David answered on Dec 20 2021

125 Votes

1. Galois field GF (p). We can define Elliptic curve over GF (p) for p > 3 as
following:
Let GF (p) be finite field and there are constants a, b ∈ GF (p) such that
4a3 + 27b2 ≡ 0(modp)
Now elliptic curve is defined as the trace of y2 = x3 + ax + b on GF (p),
together with a special point O, point at infinity. Similarly we can define
elliptic curve over GF (2m) for some m ≥ 1. First notice that GF (2m) if
also finite field and Elliptic curve is defined to...

SOLUTION.PDF

Answer each question with a minimum of 80 words per question:

Answer To: Answer each question with a minimum of 80 words per question:

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment