3 Definitions and symbols
35.2313GPPDocument 1: Algorithm specificationRelease 17Specification of the TUAK algorithm set: A second example algorithm set for the 3GPP authentication and key generation functions f1, f1*, f2, f3, f4, f5 and f5*TS
3.1 Definitions
For the purposes of the present document, the terms and definitions given in TR 21.905 [14] and the following apply. A term defined in the present document takes precedence over the definition of the same term, if any, in TR 21.905 [14].
Tuak: The name of this algorithm set is "Tuak". It should be pronounced like "too-ack".
3.2 Symbols
= The assignment operator
The bitwise exclusive-OR operation
|| The concatenation of the two operands
X[i] The ith bit of the variable X. (X = X[0] || X[1] || X[2] || ….. )
Π the permutation Keccak-f[1600] (See clause 5.2 and annex C)
The following represent variables used in the algorithm:
AK a 48-bit anonymity key that is the output of either of the functions f5 and f5*
AMF a 16-bit authentication management field that is an input to the functions f1 and f1*
CK a 128-bit or 256-bit confidentiality key that is the output of the function f3
IK a 128-bit or 256-bit integrity key that is the output of the function f4
IN a 1600-bit value that is used as the input to the permutation Π when computing the functions f1, f1*, f2, f3, f4, f5 and f5*
INSTANCE an 8-bit value that is used to specify different modes of operation and different parameter lengths within the algorithm set
K a 128-bit or 256-bit subscriber key that is an input to the functions f1, f1*, f2, f3, f4, f5 and f5*
MAC-A a 64-bit, 128-bit or 256-bit network authentication code that is the output of the function f1
MAC-S a 64-bit, 128-bit or 256-bit resynchronization authentication code that is the output of the function f1*
OP Operator Variant Algorithm Configuration Field (used in MILENAGE)
OUT a 1600-bit value that is taken as the output of the permutation Π when computing the functions f1, f1*, f2, f3, f4, f5 and f5*
RAND a 128-bit random challenge that is an input to the functions f1, f1*, f2, f3, f4, f5 and f5*
RES a 32-bit, 64-bit, 128-bit or 256-bit signed response that is the output of the function f2
SQN a 48-bit sequence number that is an input to either of the functions f1 and f1*. (For f1* this input is more precisely called SQNMS.) See informative Annex C of [1] for methods of encoding sequence numbers
SQNMS (See SQN)
TOP a 256-bit Operator Variant Algorithm Configuration Field that is a component of the functions f1, f1*, f2, f3, f4, f5 and f5*
TOPC a 256-bit value derived from TOP and K and used within the computation of the functions