Transcript ppt
Network Security
introduction
cryptography
authentication
key
exchange
Reading: Tannenbaum, section 7.1
Ross/Kurose, Ch 7 (which is incomplete)
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Network Security
Intruder may
eavesdrop
remove,
modify, and/or insert messages
read and playback messages
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Important issues:
cryptography:
secrecy of info being transmitted
authentication: proving who you are and having
correspondent prove his/her/its identity
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Security in Computer Networks
User resources:
login
passwords often transmitted unencrypted in
TCP packets between applications (e.g., telnet, ftp)
passwords provide little protection
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Network resources:
often
completely unprotected from intruder
eavesdropping, injection of false messages
mail spoofs, router updates, ICMP messages,
network management messages
Bottom line:
intruder
attaching his/her machine (access to OS
code, root privileges) onto network can override
many system-provided security measures
users must take a more active role
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Encryption
plaintext: unencrypted message
ciphertext: encrypted form of message
Intruder may
intercept
ciphertext transmission
intercept plaintext/ciphertext pairs
obtain encryption decryption algorithms
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A simple encryption algorithm
Substitution cipher:
abcdefghijklmnopqrstuvwxyz
poiuytrewqasdfghjklmnbvczx
replace each plaintext character in message with
matching ciphertext character:
plaintext: Charlotte, my love
ciphertext: iepksgmmy, dz sgby
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key
is pairing between plaintext characters
and ciphertext characters
symmetric key: sender and receiver use
same key
26! (approx 10^26) different possible keys:
unlikely to be broken by random trials
substitution cipher subject to decryption using
observed frequency of letters
'e' most common letter, 'the' most common word
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DES: Data Encryption Standard
encrypts
data in 64-bit chunks
encryption/decryption algorithm is a
published standard
everyone knows how to do it
substitution
cipher over 64-bit chunks: 56-bit
key determines which of 56! substitution
ciphers used
substitution: 19 stages of transformations, 16
involving functions of key
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decryption
done by reversing encryption steps
sender and receiver must use same key
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Key Distribution Problem
Problem: how do communicant agree on
symmetric key?
N communicants implies N keys
Trusted agent distribution:
keys distributed by centralized trusted agent
any communicant need only know key to
communicate with trusted agent
for communication between i and j, trusted agent
will provide a key
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We will cover in more detail shortly
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Public Key Cryptography
separate
encryption/decryption keys
receiver makes known (!) its encryption key
receiver keeps its decryption key secret
to
send to receiver B, encrypt message M
using B's publicly available key, EB
send EB(M)
to
decrypt, B applies its private decrypt key
DB to receiver message:
computing DB( EB(M) ) gives M
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knowing
encryption key does not help with
decryption; decryption is a non-trivial inverse of
encryption
only receiver can decrypt message
Question: good encryption/decryption
algorithms
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RSA: public key
encryption/decryption
RSA: a public key algorithm for encrypting/decrypting
Entity wanting to receive encrypted messages:
choose
two prime numbers, p, q greater than 10^100
compute n=pq and z = (p-1)(q-1)
choose number d which has no common factors with z
compute e such that ed = 1 mod z, i.e.,
integer-remainder( (ed) / ((p-1)(q-1)) ) = 1, i.e.,
ed = k(p-1)(q-1) +1
three numbers:
e, n made public
d kept secret
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RSA (continued)
to encrypt:
divide message into blocks, {b_i} of size j: 2^j < n
encrypt: encrypt(b_i) = b_I^e mod n
to decrypt:
b_i = encrypt(b_i)^d
to break RSA:
need to know p, q, given pq=n, n known
factoring 200 digit n into primes takes 4 billion years
using known methods
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RSA example
choose
p=3, q=11, gives n=33, (p-1)(q-1)=z=20
choose d = 7 since 7 and 20 have no common
factors
compute e = 3, so that ed = k(p-1)(q-1)+1 (note:
k=1 here)
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plaintext
char
S
U
N
cipherte
xt
c
c^7
28
21
#
19
21
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e=3
#^3
6859
9261
2744
ciphertext
#^3 mod 33
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21
5
d=7
c^7 mod
33
13492928512 19
1801
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plaintex
t
char
S
N
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Further notes on RSA
why does RSA work?
crucial number theory result: if p, q prime then
b_i^((p-1)(q-1)) mod pq = 1
using mod pq arithmetic:
(b^e)^d = b^{ed}
= b^{k(p-1)(q-1)+1} for some k
= b b^(p-1)(q-1) b^(p-1)(q-1) ... b^(p-1)(q-1)
= b 1 1 ... 1
=b
Note: we can also encrypt with d and encrypt with e.
this will be useful shortly
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How to break RSA?
Brute force: get B's public key
for each possible b_i in plaintext, compute b_i^e
for each observed b_i^e, we then know b_i
moral: choose size of b_i "big enough"
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man-in-the-middle: intercept keys, spoof identity:
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Authentication
Question: how does a receiver know that remote
communicating entity is who it is claimed to be?
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Authentication Protocol (ap)
Ap
Ap
Ap
1.0
Alice to Bob: “I am Alice”
Problem: intruder “Trudy” can also send such a message
2.0
Authenticate source IP address is from Alice’s machine
Problem: IP Spoofing (send IP packets with a false address)
3.0: use a secret password
Alice to Bob: “I am Alice, here is my password” (e.g., telnet)
Problem: Trudy can intercept Alice’s password by sniffing
packets
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Authentication Protocol
Ap 3.1: use encryption
use a symmetric key known to Alice and Bob
Alice & Bob (only) know secure key for encryption/decryption
A to B: msg = encrypt("I am A")
B computes: if decrypt(msg)=="I am A"
then A is verified
else A is fradulent
failure scenarios: playback attack
Trudy can intercept Alice’s message and masquerade as Alice at a
later time
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Authentication Using Nonces
Problem with ap 3.1: same password is used for all sessions
Solution: use a sequence of passwords
pick a "once-in-a-lifetime-only" number (nonce) for each session
Ap 4.0
A to B: msg = "I am A" /* note: unencrypted message! */
B to A: once-in-a-lifetime value, n
A to B: msg2 = encrypt(n) /* use symmetric keys */
B computes: if decrypt(msg2)==n
then A is verified
else A is fradulent
note similarities to three way handshake and initial sequence
number choice
problems with nonces?
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Authentication Using Public Keys
Ap 4.0 uses symmetric keys for authentication
Question: can we use public keys?
symmetry: DA( EA(n) ) = EA ( DA(n) )
AP 5.0
A to B: msg = "I am A"
B to A: once-in-a-lifetime value, n
A to B: msg2 = DA(n)
B computes: if EA (DA(n))== n
then A is verified
else A is fradulent
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Problems with Ap 5.0
Bob
needs Alice’s public key for authentication
Trudy can impersonate as Alice to Bob
– Trudy to Bob: msg = “I am Alice”
– Bob to Alice: nonce n (Trudy intercepts this message)
– Trudy to Bob: msg2= DT(n)
– Bob to Alice: send me your public key (Trudy intercepts)
– Trudy to Bob: send ET (claiming it is EA)
– Bob: verify ET(DT(n)) == n and authenticates Trudy as
Alice!!
Moral: Ap
5.0 is only as “secure” as public key
distribution
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Man-in-the-middle Attack
Trudy
impersonates as Alice to Bob and as Bob to
Alice
Alice
Trudy
“I am A”
Bob
“I am A”
nonce n
DT(n)
send me ET
ET
nonce n
DA(n)
send me EA
EA
Bob sends data using ET, Trudy decrypts and forwards it
using EA!! (Trudy transparently intercepts every message)
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Digital Signatures Using Public
Keys
Goals of digital signatures:
sender
cannot repudiate message never sent ("I
never sent that")
receiver cannot fake a received message
Suppose A wants B to "sign" a message M
B sends DB(M) to A
A computes if EB ( DB(M)) == M
then B has signed M
Question: can B plausibly deny having sent M?
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Message Digests
Encrypting
and decrypting entire messages using digital
signatures is computationally expensive
Routers routinely exchange data
– Does not need encryption
– Needs authentication and verify that data hasn’t changed
Message digests: like a checksum
Hash function H: converts variable length string to fixed length hash
Digitally sign H(M)
Send M, EA(H(m))
Can verify who sent the message and that it has been changed!
Property of H
Given a digest x, it is infeasible to find a message y such that H(y) = x
It is infeasible to find any two messages x and y such that H(x) = H(y)
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Symmetric key exchange: trusted
server
Problem: how do distributed entities agree on a key?
Assume: each entity has its own single key, which
only it and trusted server know
Server:
will
generate a one-time session key that A and B use
to encrypt communication
will use A and B's single keys to communicate
session key to A, B
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Symmetric Key exchange: trusted
server
Preceding scenario:
1. A sends encrypted msg to S, containing A, B, nonce
RA: EA(A,B,RA)
2. S decrypts using DA, generates one time session key,
K, sends nonce, key, and B-encrypted encoding of key
to A: EA(RA,B,K,EB(K,A))
3. A decrypts msg from S using DA and verifies nonce.
Extracts K, saves it and sends EB(K,A) to B.
4. B decrypts msg using DB, extracts K, generates new
nonce RB, sends EK(RB) to A
5. A decrypts using K, extracts RB, computes RB-1 and
encrypts using K. Sends EK(RB-1) to B
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6. B decrypts using K and verifies RB-1
Public key exchange: trusted
server
public
key retrieval subject to man-in-middle attack
locate all public keys in trusted server
everyone has server's encryption key (ED public)
suppose A wants to send to B using B's "public" key
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Protection against Intruders:
Firewalls
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Firewall: network components
(host/router+software) sitting between inside
("us") and outside ("them)
Packet filtering firewalls: drop packets on
basis of source or destination address (i.e., IP
address, port)
Application gateways: application specific
code intercepts, processes and/or relays
application specific packets
e.g., email of telnet gateways
application gateway code can be security
hardened
can log all activity
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Secure Email
Requirements:
Secrecy
Sender authentication
Message integrity
Receiver authentication
Secrecy
Can use public keys to encrypt messages
– Inefficient for long messages
Use symmetric keys
– Alice generates a symmetric key K
– Encrypt message M with K
– Encrypt K with EB
– Send K(M), EB(K)
– Bob decrypts using his private key, gets K, decrypts K(M)
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Secure Email
Authentication
Alice applies hash function H to M (H can be MD5)
Creates a digital signature DA(H(M))
Send M, DA(H(M)) to Bob
Putting
and Integrity (with no secrecy)
it all together
Compute H(M), DA(H(M))
M’= { H(M), DA(H(M)) }
Generate symmetric key K, compute K(M’)
Encrypt K as EB(K)
Send K(M’), EB(K)
Used
in PGP (pretty good privacy)
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Secure Sockets Layer (SSL)
SSL:
Developed by Netscape
Provides data encryption and authentication between web
server and client
SSL lies above the transport layer
Useful for Internet Commerce, secure mail access (IMAP)
Features:
– SSL server authentication
– Encrypted SSL session
– SSL client authentication
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Secure Socket Layer
Protocol:
https instead of http
Browser -> Server: B’s SSL version and preferences
S->B: S’s SSL version, preferences, and certificate
– Certificate: server’s RSA public key encrypted by CA’s private key
B: uses its list of CAs and public keys to decrypt S’s public
key
B->S: generate K, encrypt K with with ES
B->S: “future messages will be encrypted”, and K(m)
S->B: “future messages will be encrypted”, and K(m)
SSL session begins…
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SSL
SET:
secure electronic transactions [Visa, Mastercard]
Designed for secure credit card payment
Includes client, merchant and merchant’s bank
Homework: read up on SET from KR 7.7.2
Homework:
get your own digital certificate
Click on “security” icon (next to “print” icon) in Netscape 4.7
Click on “Certificates” and then on “obtain your certificate”
Send an email to yourself signed with your certificate
Also examine listed of trusted CAs built into the browser
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Security: Internet activity
IP layer:
authentication of header: receiver can authenticate
sender using messageauthentication code (MAC)
encryption of contents: DES, RFC 1829
API
SSL - secure socket layer: support for authentication
and encryption
port numbers: 443 for http with SSL, 465 for smtp with SSL
Application Layer
Privacy Enhanced Mail (PEM)
secure http: supports many authentication, encryption
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schemes
Secure Email
PEM :
operates on top of SMTP
ASCII
msg
authentication - MD2, MD5
msg encryption - RSA, DES
authenticated encrypted msgs and encrypted
authenticated msgs
PGP (Pretty Good Privacy): secure file
transfer (incl. email)
binary files
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Security: conclusion
key concerns:
encryption
authentication
key exchange
also:
increasingly an important area as network connectivity
increases
digital signatures, digital cash, authentication,
increasingly important
an important social concern
further reading:
Crypto Policy Perspectives: S. Landau et al., Aug 1994 CACM
Internet Security, R. Oppliger, CACM May 1997
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www.eff.org