November 2019
Beginner to intermediate
408 pages
9h 29m
Korean
Content preview from 밑바닥부터 시작하는 비트코인
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밑바닥부터 시작하는 비트코인
86
[그림
3
-
2
]는 점들이 매우 산재된 모습으로 매끄러운 곡선이 아닙니다. 유한체의 원소들은 연
속적이지 않기 때문에 당연한 결과입니다. 유일하게 관찰할 수 있는 패턴은 곡선의
y
2
항 때문
에
y
축의 중간값(
100
)을 지나는 수평축을 기준으로
대칭
이라는 점입니다. 실수체에서의 곡선
처럼
x
축으로 대칭도 아닙니다. 이는 유한체에서 음수가 없기 때문입니다. 놀라운 사실은 유한
체에서 정의된 덧셈, 뺄셈, 곱셈, 나눗셈, 거듭제곱의 각종 연산을 그대로 점 덧셈 방정식에 사
용할 수 있다는 것입니다. 현대대수는 우리에게 익숙한 연산 방식과는 다르다 할지라도 이와
같은 일관성이 있습니다.
연습문제
3.1
다음의 점들이
F
223
에서 정의된 곡선
y
2
=
x
3
+
7
위에 있는지 확인하시오.
(
192
,
105
), (
17
,
56
), (
200
,
119
), (
1
,
193
), (
42
,
99
)
3.3
유한체에서 정의된 타원곡선 코딩하기
타원곡선의 점을 정의하고 유한체에서의
+
,
-
,
*
,
/
연산자를 정의했기 때문에 점의 좌표가 유
한체 원소인 타원곡선의 점을 표현하기 위해 아래와 같이
2
개의 클래스를 활용할 수 있습니다.
>>> from ecc import FieldElement, Point
>>> a = FieldElement(num=0, prime=223)
>>> ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.