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docs/courses/软件工程学院/区块链基础/期末考试/{2025春季学期区块链基础期末考试试卷(回忆版).md => 2024-2025学年下学期期末.md} (100%) diff --git a/docs/courses/软件工程学院/区块链基础/index.md b/docs/courses/软件工程学院/区块链基础/index.md index 4a3480a..38afebf 100644 --- a/docs/courses/软件工程学院/区块链基础/index.md +++ b/docs/courses/软件工程学院/区块链基础/index.md @@ -9,8 +9,12 @@ tag: - 专业课程 --- -# 区块链基础 +## 2024-2025学年下学期 -!!! warning "施工中" +### 叫啥来着 -本目录包含区块链基础课程的相关资料。 +#### 教学资料 + +- [南京大学慕课](https://drive.vanillaaaa.org/SharedCourses/软件工程学院/区块链基础/2024-2025学年下学期/课件/南京大学慕课) +- [蚂蚁区块链](https://drive.vanillaaaa.org/SharedCourses/软件工程学院/区块链基础/2024-2025学年下学期/课件/蚂蚁区块链) +- [作业](https://drive.vanillaaaa.org/SharedCourses/软件工程学院/区块链基础/2024-2025学年下学期/作业) diff --git a/docs/courses/软件工程学院/区块链基础/作业/第一次作业/01_2025区块链基础_10225101408_朱炎_20250319/code.py b/docs/courses/软件工程学院/区块链基础/作业/第一次作业/01_2025区块链基础_10225101408_朱炎_20250319/code.py deleted file mode 100644 index 90a7bdb..0000000 --- a/docs/courses/软件工程学院/区块链基础/作业/第一次作业/01_2025区块链基础_10225101408_朱炎_20250319/code.py +++ /dev/null @@ -1,37 +0,0 @@ -def calculate_total_bitcoin(): - initial_reward = 50.0 - halving_interval = 210000 - total_btc = 0.0 - current_reward = initial_reward - halving_count = 0 - - while current_reward >= 1e-8: - period_coins = halving_interval * current_reward - total_btc += period_coins - halving_count += 1 - current_reward /= 2 - - print(f"\n最终减半次数: {halving_count}次") - print(f"总发行量: {total_btc:,.8f} BTC ≈ {round(total_btc)} BTC") - -def estimate_mining_end_year(): - start_year = 2009 - blocks_per_halving = 210000 - block_time_minutes = 10 - - minutes_per_year = 365 * 24 * 60 - blocks_per_year = minutes_per_year / block_time_minutes - years_per_halving = blocks_per_halving / blocks_per_year - - halving_count = 0 - - initial_reward = 50.0 - while initial_reward / (2 ** halving_count) >= 1e-8: - halving_count += 1 - - end_year = start_year + years_per_halving * halving_count - print(f"\n预计全部挖完年份: {end_year:.0f}年") - - -calculate_total_bitcoin() -estimate_mining_end_year() diff 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-\geometry{margin=1in} - -\title{区块链基础第一次作业} -\author{10225101408 朱炎} -\date{2025.3.18} - -\begin{document} - -\maketitle - -比特币总量上限为2100万个且预计在2140年基本挖完的核心机制源于其区块奖励减半规则。 - -\section{比特币的总量上限计算} -比特币的初始奖励为50个比特币,每210000个区块奖励减半一次,第一个周期内产生$50 \times 210000 = 10500000$个比特币。 -则我们可以通过以下等比数列求和公式计算比特币总量上限: -\begin{equation} - 10500000 \times \sum_{n=0}^{\infty} (\frac{1}{2})^n = 10500000 \times \frac{1}{1 - \frac{1}{2}} = 21000000 \text{BTC} -\end{equation} -即2100万个比特币。 - -\section{比特币的终止时间计算} -比特币每210000个区块奖励减半一次,每个区块的产生时间约为10分钟,故210000个区块的生成耗时约为210000*10分钟 = 35000小时 = 1458天 = 4年。 - -比特币于2009年1月3日开始发行,到2140年约为131年,即32个周期。32个周期后,比特币的奖励为: -\begin{equation} - 50 \times 2^{-32} \approx 1.16 \times 10^{-8} \text{BTC} -\end{equation} -而比特币的最小单位1聪(Satoshi)为$10^{-8}$比特币,故比特币的奖励将约等于0,挖矿终止。 - -\end{document} diff --git a/docs/courses/软件工程学院/区块链基础/作业/第一次作业/《区块链基础》第1次作业.pdf b/docs/courses/软件工程学院/区块链基础/作业/第一次作业/《区块链基础》第1次作业.pdf deleted file mode 100644 index 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py_ecc.bls12_381 import G1, G2, add, multiply, is_inf, pairing, curve_order, field_modulus -from py_ecc.fields import bls12_381_FQ as FQ -from functools import reduce -import hashlib - -def hash_to_g1(message: bytes): - G1_cofactor = 0x396c8c005555e1568c00aaab0000aaab - - hashed = int.from_bytes(hashlib.sha256(message).digest(), 'big') - x_val = hashed % field_modulus - - while True: - y_squared = (pow(x_val, 3, field_modulus) + 4) % field_modulus - y_val = pow(y_squared, (field_modulus + 1) // 4, field_modulus) - if pow(y_val, 2, field_modulus) == y_squared: - x = FQ(x_val) - y = FQ(y_val) - point = (x, y) - point = multiply(point, G1_cofactor) - if not is_inf(point): - return point - x_val = (x_val + 1) % field_modulus - -import random - -def generate_private_key(): - return random.randint(1, curve_order - 1) - -def generate_public_key(sk): - return multiply(G2, sk) - -def sign(sk, message: bytes): - H_m = hash_to_g1(message) - return multiply(H_m, sk) - -def verify(pk, message: bytes, signature) -> bool: - H_m = hash_to_g1(message) - left = pairing(G2, signature) - right = pairing(pk, H_m) - return left == right - -def aggregate_signatures(signatures: list) -> tuple: - return reduce(add, signatures) - -def aggregate_verify(pubkeys: list, messages: list, aggregate_sig: tuple) -> bool: - if len(pubkeys) != len(messages): - return False - product = 1 - for pk, msg in zip(pubkeys, messages): - H_m = hash_to_g1(msg) - product *= pairing(pk, H_m) - left = pairing(G2, aggregate_sig) - return left == product - -if __name__ == "__main__": - # 单个签名的情况 - sk = generate_private_key() - pk = generate_public_key(sk) - message = b"Hello, BLS!" - signature = sign(sk, message) - print("验证结果:", verify(pk, message, signature)) - print("错误消息验证:", verify(pk, b"Wrong message", signature)) - - # 多个签名的情况 - num_signers = 3 - sks = [generate_private_key() for _ in range(num_signers)] - pks = [generate_public_key(sk) for sk in sks] - messages = [f"Message {i}".encode() for i in range(num_signers)] - signatures = [sign(sk, msg) for sk, msg in zip(sks, messages)] - agg_sig = aggregate_signatures(signatures) - valid = aggregate_verify(pks, messages, agg_sig) - print("聚合验证结果:", valid) - corrupted_messages = [msg + b"no" for msg in messages] - invalid = aggregate_verify(pks, corrupted_messages, agg_sig) - print("篡改消息后的验证结果:", invalid) \ No newline at end of file diff --git a/docs/courses/软件工程学院/区块链基础/作业/第二次作业/main.py b/docs/courses/软件工程学院/区块链基础/作业/第二次作业/main.py deleted file mode 100644 index d9cb873..0000000 --- a/docs/courses/软件工程学院/区块链基础/作业/第二次作业/main.py +++ /dev/null @@ -1,39 +0,0 @@ -from wallet import Wallet -from transaction import Transaction -from blockchain import Blockchain -from bls import aggregate_signatures, aggregate_verify - -alice = Wallet() -bob = Wallet() -blockchain = Blockchain( # 给Alice初始10个代币 - genesis_recipient=alice.get_address(), - genesis_amount=10 -) - -alice_balance = sum( - amt for (addr, amt) in blockchain.utxo.values() - if addr == alice.get_address() -) -print("Alice 的初始余额:", alice_balance) - -tx1 = Transaction(alice.get_address(), bob.get_address(), 10) -tx1.sign(alice) -print("交易1验证结果:", tx1.is_valid()) - -if blockchain.add_transaction(tx1): - print("交易1成功上链") - -# Bob向Alice转账15个代币(失败,余额不足) -tx2 = Transaction(bob.get_address(), alice.get_address(), 15) -tx2.sign(bob) -print("交易2验证结果:", tx2.is_valid()) # True,但余额不足 -print("交易2上链结果:", blockchain.add_transaction(tx2)) # False - -# 聚合签名 -carol = Wallet() -tx3_data = b"Multisig_Transaction" -signature_alice = alice.sign_transaction(tx3_data) -signature_carol = carol.sign_transaction(tx3_data) -agg_sig = aggregate_signatures([signature_alice, signature_carol]) -valid = aggregate_verify([alice.pk, carol.pk], [tx3_data, tx3_data], agg_sig) -print("聚合签名验证结果:", valid) # True \ No newline at end of file diff --git a/docs/courses/软件工程学院/区块链基础/作业/第二次作业/transaction.py b/docs/courses/软件工程学院/区块链基础/作业/第二次作业/transaction.py deleted file mode 100644 index 8bc229d..0000000 --- a/docs/courses/软件工程学院/区块链基础/作业/第二次作业/transaction.py +++ /dev/null @@ -1,17 +0,0 @@ -class Transaction: - def __init__(self, sender, receiver, amount, signature=None): - self.sender = sender # 公钥 - self.receiver = receiver # 地址 - self.amount = amount # 金额 - self.signature = signature - - def serialize(self) -> bytes: - # 序列化交易数据用于签名 - return f"{self.sender}{self.receiver}{self.amount}".encode() - - def sign(self, wallet): - self.signature = wallet.sign_transaction(self.serialize()) - - def is_valid(self) -> bool: - from bls import verify - return verify(self.sender, self.serialize(), self.signature) \ No newline at end of file diff --git a/docs/courses/软件工程学院/区块链基础/作业/第二次作业/wallet.py b/docs/courses/软件工程学院/区块链基础/作业/第二次作业/wallet.py deleted file mode 100644 index a58931b..0000000 --- a/docs/courses/软件工程学院/区块链基础/作业/第二次作业/wallet.py +++ /dev/null @@ -1,13 +0,0 @@ -from bls import generate_private_key, generate_public_key - -class Wallet: - def __init__(self): - self.sk = generate_private_key() - self.pk = generate_public_key(self.sk) - - def get_address(self): - return self.pk # 公钥作为地址 - - def sign_transaction(self, tx_data: bytes): - from bls import sign - return sign(self.sk, tx_data) \ No newline at end of file diff --git a/docs/courses/软件工程学院/区块链基础/期末考试/2025春季学期区块链基础期末考试试卷(回忆版).md b/docs/courses/软件工程学院/区块链基础/期末考试/2024-2025学年下学期期末.md similarity index 100% rename from docs/courses/软件工程学院/区块链基础/期末考试/2025春季学期区块链基础期末考试试卷(回忆版).md rename to docs/courses/软件工程学院/区块链基础/期末考试/2024-2025学年下学期期末.md