Signing a Linear Subspace: Signature Schemes for Network Coding

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Signing a Linear Subspace: Signature Schemes for Network Coding

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by Dan Boneh , David Freeman , Jonathan Katz , Brent Waters

Citations:

71 - 8 self

BibTeX

@MISC{Boneh_signinga,
    author = {Dan Boneh and David Freeman and Jonathan Katz and Brent Waters},
    title = {Signing a Linear Subspace: Signature Schemes for Network Coding},
    year = {}
}

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Abstract

Abstract. Network coding offers increased throughput and improved robustness to random faults in completely decentralized networks. In contrast to traditional routing schemes, however, network coding requires intermediate nodes to modify data packets en route; for this reason, standard signature schemes are inapplicable and it is a challenge to provide resilience to tampering by malicious nodes. Here, we propose two signature schemes that can be used in conjunction with network coding to prevent malicious modification of data. In particular, our schemes can be viewed as signing linear subspaces in the sense that a signature σ on V authenticates exactly those vectors in V. Our first scheme is homomorphic and has better performance, with both public key size and per-packet overhead being constant. Our second scheme does not rely on random oracles and uses weaker assumptions. We also prove a lower bound on the length of signatures for linear subspaces showing that both of our schemes are essentially optimal in this regard. 1

Keyphrases

linear subspace signature scheme network coding random oracle improved robustness standard signature scheme per-packet overhead traditional routing scheme public key size data packet intermediate node malicious modification malicious node second scheme first scheme

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