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Update README.md

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Bill Buchanan
2022-02-17 16:45:42 +00:00
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parent 8d29870d3b
commit cdccdf32bf
1 changed files with 32 additions and 21 deletions
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unit04_public_key/lab/README.md
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@@ -305,31 +305,42 @@ https://asecuritysite.com/encryption/elc
Code used:
```python
import OpenSSL
import pyelliptic
from cryptography.hazmat.primitives.asymmetric import ec
from cryptography.hazmat.primitives import serialization
import binascii
import sys
secretkey="password"
test="Test123"
alice = pyelliptic.ECC()
bob = pyelliptic.ECC()
print ("++++Keys++++")
print ("Bob's private key: ",bob.get_privkey().hex())
print ("Bob's public key: ",bob.get_pubkey().hex())
print()
print ("Alice's private key: ",alice.get_privkey().hex())
print ("Alice's public key: ",alice.get_pubkey().hex())
private_key = ec.generate_private_key(ec.SECP256K1())
ciphertext = alice.encrypt(test, bob.get_pubkey())
vals = private_key.private_numbers()
no_bits=vals.private_value.bit_length()
print (f"Private key value: {vals.private_value}. Number of bits {no_bits}")
print ("\n++++Encryption++++")
public_key = private_key.public_key()
vals=public_key.public_numbers()
print ("Cipher: "+ciphertext.hex())
enc_point=binascii.b2a_hex(vals.encode_point()).decode()
print (f"\nPublic key encoded point: {enc_point} \nx={enc_point[2:(len(enc_point)-2)//2+2]} \ny={enc_point[(len(enc_point)-2)//2+2:]}")
pem = private_key.private_bytes(encoding=serialization.Encoding.PEM,format=serialization.PrivateFormat.PKCS8,encryption_algorithm=serialization.NoEncryption())
der = private_key.private_bytes(encoding=serialization.Encoding.DER,format=serialization.PrivateFormat.PKCS8,encryption_algorithm=serialization.NoEncryption())
print ("\nPrivate key (PEM):\n",pem.decode())
print ("Private key (DER):\n",binascii.b2a_hex(der))
pem = public_key.public_bytes(encoding=serialization.Encoding.PEM,format=serialization.PublicFormat.SubjectPublicKeyInfo)
der = public_key.public_bytes(encoding=serialization.Encoding.DER,format=serialization.PublicFormat.SubjectPublicKeyInfo)
print ("\nPublic key (PEM):\n",pem.decode())
print ("Public key (DER):\n",binascii.b2a_hex(der))
print ("Decrypt: "+bob.decrypt(ciphertext))
```
For a message of “Hello. Alice”, what is the ciphertext sent (just include the first four characters):
@@ -345,7 +356,7 @@ First five points:
<!--
### D.3
Elliptic curve methods are often used to sign messages, and where Bob will sign a message with his private key, and where Alice can prove that he has signed it by using his public key. With ECC, we can use ECDSA, and which was used in the first version of Bitcoin. Enter the following code:
@@ -390,7 +401,7 @@ By searching on the Internet, can you find in which application areas that SECP2
What do you observe from the different hash signatures from the elliptic curve methods?
-->
## E RSA