MAC aggregation with message multiplicity for use in a multi-node data network
A MAC aggregation technique utilizing a large field addition operation is disclosed. The large field addition operation defines the addition of two or more MACs mod p, where the two or MACs may comprise constituent MACs or aggregate MACs, and where p is a prime number that is large relative to the size of the MACs. The disclosed MAC aggregation technique yields an aggregate MAC much shorter than the concatenation of constituent MACs while achieving security even in the case where constituent MACs may be aggregated in duplicate.
1. In a communication network including a plurality of successive sending nodes operably linked to a control node, a method, carried out by at least one sending node, comprising:
receiving from a previous node a first message authentication code (MAC), the first MAC comprising one of a constituent MAC or an aggregated MAC;
generating or receiving a second message authentication code (MAC), the second MAC comprising one of a constituent MAC or an aggregated MAC;
executing a MAC aggregation function to combine the first and second MACs, yielding an output aggregate MAC shorter than a concatenation of the first and second MACs, wherein the MAC aggregation function comprises a large field addition operation performed on the first and second MACs; and
sending the output aggregate MAC to a next consecutive node for use in deriving a next instance of aggregate MAC, or if the next consecutive node is the control node, for use in authenticating data originated from the sending nodes.
2. The method of claim 1 , wherein the first MAC comprises:
a constituent MAC, if the previous node is a first successive sending node; or
an aggregated MAC, if the previous node is an intermediate sending node.
3. The method of claim 1 , wherein the second MAC comprises a duplicate of the first MAC.
4. Apparatus for performing MAC aggregation of constituent MACs, in accordance with a communication network including a plurality of successive sending nodes operably linked to a control node, the apparatus at at least one sending node comprising:
an input interface;
an output interface;
a memory; and
at least one processor operably coupled to the input interface, output interface and memory and configured to:
(a) receive from a previous node a first message authentication code (MAC), the first MAC comprising one of a constituent MAC or an aggregated MAC;
(b) generate or receive a second message authentication code (MAC); the second MAC comprising one of a constituent MAC or an aggregated MAC;
(c) execute a MAC aggregation function to combine the first and second MACs, yielding an output aggregate MAC shorter than a concatenation of the first and second MACs, wherein the MAC aggregation function comprises a large field addition operation performed on the first and second MACs; and
(d) send the aggregate MAC to a next consecutive node for use in deriving a next instance of aggregate MAC, or if the next consecutive node is the control node, for use in authenticating data originated from the sending nodes.
5. In a communication network including a plurality of sending nodes operably linked to a control node, a method, carried out by the control node, comprising:
receiving from a previous node a message string including payload data from a plurality of sending nodes and at least one aggregate MAC computed by aggregating a plurality of constituent MACs generated by the respective sending nodes;
executing a MAC computation function to recompute the constituent MACs from the payload data and one or more shared secret keys, yielding a plurality of recomputed constituent MACs;
executing a MAC aggregation function on the recomputed constituent MACs, yielding a computed aggregate MAC shorter than a concatenation of the recomputed constituent MACs, wherein the MAC aggregation function comprises a large field addition operation performed on the recomputed constituent MACs; and
comparing the computed aggregate MAC to the received aggregate MAC to determine an authentication status of the received aggregate MAC.
6. The method of claim 5 , wherein the large field addition operation defines the addition of the recomputed constituent MACs mod p, where p is a prime number that is large relative to the size of the recomputed constituent MACs.
7. Apparatus for performing MAC aggregation of constituent MACs, in accordance with a communication network including a plurality of successive sending nodes operably linked to a control node, the apparatus at the control node comprising:
a communication interface;
a memory; and
at least one processor operably coupled to the communication interface and memory and configured to:
(a) receive from a previous node a message string including payload data from a plurality of sending nodes and at least one aggregate MAC computed by aggregating a plurality of constituent MACs generated by the respective sending nodes;
(b) execute a MAC computation function to recompute the constituent MACs from the payload data and one or more shared secret keys, yielding a plurality of recomputed constituent MACs;
(c) execute a MAC aggregation function on the recomputed constituent MACs, yielding a computed aggregate MAC shorter than a concatenation of the recomputed constituent MACs wherein the MAC aggregation function comprises a large field addition operation performed on the recomputed constituent MACs; and
(d) compare the computed aggregate MAC to the received aggregate MAC to determine an authentication status of the received aggregate MAC.
8. The apparatus of claim 7 , wherein the large field addition operation defines the addition of the recomputed constituent MACs mod p, where p is a prime number that is large relative to the size of the recomputed constituent MACs.