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**42**.

## Article

Blackburn, S.R. and Etzion, T. and Paterson, Maura B.
(2019)
PIR schemes with small download complexity and low storage requirements.
*IEEE International Symposium on Information Theory*
,
ISSN 0018-9448.
(In Press)

Huczynska, S. and Paterson, Maura B.
(2019)
Characterising bimodal collections of sets in finite groups.
*Archiv der Mathematik*
,
ISSN 0003-889X.
(In Press)

Ng, S.-L. and Paterson, Maura B.
(2019)
Functional repair codes: a view from projective geometry.
*Designs, Codes and Cryptography*
,
ISSN 0925-1022.
(In Press)

Huczynska, S. and Paterson, Maura B.
(2018)
Weighted external difference families and R-optimal AMD codes.
*Discrete Mathematics* 342
(3),
855 - 867.
ISSN 0012-365X.

Huczynska, S. and Paterson, Maura B.
(2018)
Existence and non-existence results for strong external difference families.
*Discrete Mathematics* 341
(1),
pp. 87-95.
ISSN 0012-365X.

Laing, T.M. and Martin, K.M. and Paterson, Maura B. and Stinson, D.R.
(2016)
Localised multisecret sharing.
*Cryptography and Communications* 9
(5),
pp. 581-597.
ISSN 1936-2447.

Paterson, Maura B. and Stinson, D.
(2016)
Combinatorial characterizations of algebraic manipulation
detection codes involving generalized difference families.
*Discrete Mathematics* 339
(12),
pp. 2891-2906.
ISSN 0012-365X.

Paterson, Maura B. and Stinson, D.R. and Wang, Y.
(2016)
On encoding symbol degrees of array BP-XOR codes.
*Cryptography and Communications* 8
(1),
pp. 19-32.
ISSN 1936-2447.

Ng, S.-L. and Paterson, Maura B.
(2016)
Disjoint difference families and their applications.
*Designs, Codes and Cryptography* 78
(1),
pp. 103-127.
ISSN 0925-1022.

Paterson, Maura B. and Stinson, D.R.
(2015)
Optimal constructions for ID-based one-way-function key
predistribution schemes realizing specified communication graphs.
*Journal of Mathematical Cryptology* 9
(4),
pp. 215-225.
ISSN 1862-2976.

Kendall, M. and Martin, K.M. and Ng, S.-L. and Paterson, Maura B. and Stinson, D.R.
(2014)
Broadcast-enhanced key predistribution schemes.
*ACM Transactions on Sensor Networks* 11
(1),
6:1-6:33.
ISSN 1550-4859.

Paterson, Maura B. and Stinson, D.R.
(2013)
A simple combinatorial treatment of constructions and threshold gaps of ramp schemes.
*Cryptography and Communications* 5
(4),
pp. 229-240.
ISSN 1936-2447.

Paterson, Maura B. and Stinson, D.R. and Upadhyay, J.
(2013)
A coding theory foundation for the analysis of general unconditionally secure proof-of-retrievability schemes for cloud storage.
*Journal of Mathematical Cryptology* 7
(3),
pp. 181-277.
ISSN 1862-2976.

Dinitz, J.H. and Paterson, Maura B. and Stinson, D.R. and Wei, R.
(2012)
Constructions for retransmission permutation arrays.
*Designs, Codes and Cryptography* 65
(3),
pp. 325-351.
ISSN 0925-1022.

Paterson, Maura B. and Stinson, D.R.
(2012)
A unified approach to combinatorial key predistribution schemes for sensor networks.
*Designs, Codes and Cryptography*
,
ISSN 0925-1022.

Paterson, Maura B. and Stinson, D.R.
(2012)
Yet another hat game.
*Electronic Journal of Combinatorics* 17
,
ISSN 1077-8926.

Blackburn, S.R. and Paterson, Maura B. and Stinson, D.R.
(2011)
Putting dots in triangles.
*Journal of Combinatorial Mathematics and Combinatorial Computing* 78
,
pp. 23-32.
ISSN 0835-3026.

Martin, K.M. and Paterson, Maura B. and Stinson, D.R.
(2011)
Error decodable secret sharing and one-round perfectly secure message transmission for general adversary structures.
*Cryptography and Communications* 3
(2),
pp. 65-86.
ISSN 1936-2447.

Blackburn, S.R. and Panoui, A. and Paterson, Maura B. and Stinson, D.R.
(2010)
Honeycomb arrays.
*Electronic Journal of Combinatorics* 17
(R172),
ISSN 1077-8926.

Blackburn, S.R. and Etzion, T. and Martin, K.M. and Paterson, Maura B.
(2010)
Distinct difference configurations: multihop paths and key predistribution in sensor networks.
*IEEE Transactions on Information Theory* 56
(8),
pp. 3961-3972.
ISSN 0018-9448.

Martin, K.M. and Paterson, Maura B. and Stinson, D.R.
(2010)
Key predistribution for homogeneous wireless sensor networks with group deployment of nodes.
*ACM Transactions on Sensor Networks* 7
(2),
ISSN 1550-4859.

Blackburn, S.R. and Etzion, T. and Martin, K.M. and Paterson, Maura B.
(2010)
Two-dimensional patterns with distinct differences; constructions, bounds, and maximal anticodes.
*IEEE Transactions on Information Theory* 56
(3),
pp. 1216-1229.
ISSN 0018-9448.

Stinson, D.R. and Wei, R. and Paterson, Maura B.
(2009)
Combinatorial batch codes.
*Advances in Mathematics of Communications* 3
(1),
pp. 13-27.
ISSN 1930-5346.

Paterson, Maura B. and Stinson, D.R.
(2009)
Two attacks on a sensor network key distribution scheme of Cheng and Agrawal.
*Journal of Mathematical Cryptology* 2
(4),
pp. 393-403.
ISSN 1862-2976.

Martin, K.M. and Paterson, Maura B.
(2008)
An application-oriented framework for wireless sensor network key establishment.
*Electronic Notes in Theoretical Computer Science* 192
(2),
p. 31.
ISSN 1571-0661.

Murphy, S. and Paterson, Maura B.
(2008)
A geometric view of cryptographic equation solving.
*Journal of Mathematical Cryptology* 2
(1),
pp. 63-107.
ISSN 1862-2976.

Paterson, Maura B.
(2007)
Sequential and dynamic frameproof codes.
*Designs, Codes and Cryptography* 42
(3),
pp. 317-326.
ISSN 0925-1022.

Paterson, Maura B.
(2007)
Sliding-window dynamic frameproof codes.
*Designs, Codes and Cryptography* 42
(2),
pp. 195-212.
ISSN 0925-1022.

## Book Section

El hajjar, Ayman and Roussos, George and Paterson, Maura B.
(2016)
On the performance of key pre-distribution for RPL-based IoT Networks.
In:
Mitton, N. and Chaouchi, H. and Noel, T. and Watteyne, T. and Gabillon, A. and Capolsini, P. (eds.)
*Interoperability, Safety and Security in IoT.*
Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 190.
Springer.
ISBN 9783319527260.

Murphy, S. and Paterson, Maura B.
(2009)
Geometric ideas for cryptographic equation solving in even characteristic.
In:
Parker, M.G. (ed.)
*Cryptography and Coding.*
Lecture Notes in Computer Science 5921.
Berlin, Germany:
Springer, pp. 202-221.
ISBN 9783642108679.

Martin, K.M. and Paterson, Maura B.
(2009)
Ultra-lightweight key predistribution in wireless sensor networks for monitoring linear infrastructure.
In:
Markowitch, O. and Bilas, A. and Hoepman, J.H. and Mitchell, C.J. and Quisquater, J.J. (eds.)
*Information Security Theory and Practice. Smart Devices, Pervasive Systems, and Ubiquitous Networks.*
Lecture Notes in Computer Science 5746.
Berlin, Germany:
Springer, p. 152.
ISBN 9783642039447.

Blackburn, S.R. and Etzion, T. and Martin, K.M. and Paterson, Maura B.
(2008)
Efficient key predistribution for grid-based wireless sensor networks.
In:
Fehr, S. (ed.)
*Information Theoretic Security.*
Lecture Notes in Computer Science 5155.
Berlin, Germany:
Springer-Verlag, pp. 54-69.
ISBN 9783540850922.

Blackburn, S.R. and Martin, K.M. and Paterson, Maura B. and Stinson, D.R.
(2008)
Key refreshing in wireless sensor networks.
In:
Safavi-Naini, R. (ed.)
*Information Theoretic Security.*
Lecture Notes in Computer Science 5155.
Berlin, Germany:
Springer, pp. 156-170.
ISBN 9783540850922.

## Monograph

Ng, S.-L. and Paterson, Maura B. (2018) Functional repair codes: a view from projective geometry. Working Paper. Birkbeck, University of London, London, UK.

Huczynska, S. and Paterson, Maura B. (2018) Weighted external difference families and R-optimal AMD codes. Working Paper. Birkbeck, University of London, London, UK.

Blackburn, S.R. and Etzion, T. and Paterson, Maura B. (2016) PIR schemes with small download complexity and low storage requirements. Working Paper. Birkbeck, University of London, London, UK.

Paterson, Maura B. and Stinson, D.R. and Upadhyay, J. (2016) Multi-prover proof-of-retrievability. Working Paper. Birkbeck, University of London, London, UK.

Paterson, Maura B. and Huczynska, S. (2016) Existence and non-existence results for Strong External Difference Families. Working Paper. Birkbeck, University of London, London, UK.

Laing, T.M. and Martin, K.M. and Paterson, Maura B. and Stinson, D.R. (2015) Localised multisecret sharing. Working Paper. Birkbeck, University of London, London, UK.

Ng, S.-L. and Paterson, Maura B. (2015) Disjoint difference families and their applications. Working Paper. Birkbeck, University of London, London, UK.

Paterson, Maura B. and Stinson, D.R. (2015) Combinatorial characterizations of algebraic manipulation detection codes involving generalized difference families. Working Paper. Birkbeck, University of London, London, UK.

Paterson, Maura B. and Stinson, D.R. (2014) Optimal constructions for ID-based one-way-function key predistribution schemes realizing specified communication graphs. Working Paper. Birkbeck, University of London, London, UK.