November 2019
Beginner to intermediate
408 pages
9h 29m
Korean
Content preview from 밑바닥부터 시작하는 비트코인
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3
장
타원곡선 암호
97
이고
b
<
n
이므로
a
+
b
<
2
n
입니다. 따라서
a
+
b
-
n
<
n
이라고 할 수 있습니다. 이 부등식의 왼
쪽 항의 값을 생성점에 곱하면 아래와 같습니다.
(
a
+
b
-
n
)
G
=
aG
+
bG
-
nG
=
aG
+
bG
-
0
=
aG
+
bG
결국,
a
+
b
>=
n
경우의 점 (
a
+
b
)
G
는 (
a
+
b
-
n
)
G
로 계산할 수 있습니다. 왜냐하면 (
a
+
b
-
n
)
G
연산 결과는
aG
+
bG
로 (
a
+
b
)
G
와 동일하기 때문입니다. 그리고
a
+
b
-
n
<
n
이기 때문에 원소 (
a
+
b
-
n
)
G
는 정의에 따라 군에 속하고, 따라서 (
a
+
b
)
G
도 군에 속합
니다. 일반적으로 (
a
+
b
)
G
= ((
a
+
b
)
%
n
)
G
이고 여기서
n
은 군의 위수입니다.
이렇게 두 경우를 조사한 결과 이 점은 군에 속한다는 것이 증명됩니다. 즉 닫혀 있습니다.
3.8.3
역원의 존재
역원이 존재한다는 것은 [그림
3
-
6
]처럼 그려보면 쉽게 이해할 수 있습니다.
그림
3-6
각 점에 대해 서로 역원인
x
축에 대칭인 직선과 곡선의 교점
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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.