Entry Atallah:2009:DEK from tissec.bib
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BibTeX entry
@Article{Atallah:2009:DEK,
author = "Mikhail J. Atallah and Marina Blanton and Nelly Fazio
and Keith B. Frikken",
title = "Dynamic and Efficient Key Management for Access
Hierarchies",
journal = j-TISSEC,
volume = "12",
number = "3",
pages = "18:1--18:??",
month = jan,
year = "2009",
CODEN = "ATISBQ",
DOI = "https://doi.org/10.1145/1455526.1455531",
ISSN = "1094-9224 (print), 1557-7406 (electronic)",
ISSN-L = "1094-9224",
bibdate = "Mon Feb 2 18:03:37 MST 2009",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/tissec.bib",
abstract = "Hierarchies arise in the context of access control
whenever the user population can be modeled as a set of
partially ordered classes (represented as a directed
graph). A user with access privileges for a class
obtains access to objects stored at that class and all
descendant classes in the hierarchy. The problem of key
management for such hierarchies then consists of
assigning a key to each class in the hierarchy so that
keys for descendant classes can be obtained via
efficient key derivation.\par
We propose a solution to this problem with the
following properties: (1) the space complexity of the
public information is the same as that of storing the
hierarchy; (2) the private information at a class
consists of a single key associated with that class;
(3) updates (i.e., revocations and additions) are
handled {\em locally\/} in the hierarchy; (4) the
scheme is provably secure against collusion; and (5)
each node can derive the key of any of its descendant
with a number of symmetric-key operations bounded by
the length of the path between the nodes. Whereas many
previous schemes had some of these properties, ours is
the first that satisfies all of them. The security of
our scheme is based on pseudorandom functions, without
reliance on the Random Oracle Model.\par
Another substantial contribution of this work is that
we are able to lower the key derivation time at the
expense of modestly increasing the public storage
associated with the hierarchy. Insertion of additional,
so-called shortcut, edges, allows to lower the key
derivation to a small constant number of steps for
graphs that are total orders and trees by increasing
the total number of edges by a small asymptotic factor
such as $O(\log^* n)$ for an $n$-node hierarchy. For
more general access hierarchies of dimension $d$, we
use a technique that consists of adding dummy nodes and
dimension reduction. The key derivation work for such
graphs is then linear in $d$ and the increase in the
number of edges is by the factor $O(\log^{d - 1} n)$
compared to the one-dimensional case.\par
Finally, by making simple modifications to our scheme,
we show how to handle extensions proposed by Crampton
[2003] of the standard hierarchies to ``limited depth''
and reverse inheritance.",
acknowledgement = ack-nhfb,
articleno = "18",
fjournal = "ACM Transactions on Information and System Security",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J789",
keywords = "Efficient key derivation; hierarchical access control;
key management",
}
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12(1)5,
12(4)20,
13(3)28,
15(1)2,
15(3)13,
16(1)2,
16(1)4,
16(2)7,
17(1)3,
17(1)4,
18(1)3,
18(3)10,
18(4)12
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2(1)105,
10(4)1,
11(3)13,
12(1)4,
15(4)18,
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10(4)4
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15(4)15,
17(2)7
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2(2)138,
2(3)269,
7(2)319,
10(2)5,
10(2)8,
10(4)1,
10(4)2,
10(4)5,
11(3)13,
11(4)18,
12(1)2,
12(2)9,
12(2)12,
12(3)19,
13(1)10,
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13(4)36,
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15(1)5,
15(3)14,
15(4)15,
16(1)3,
16(2)5,
16(2)8,
17(1)1,
17(1)2,
17(1)3,
17(4)15,
18(1)1,
18(1)3,
18(2)6,
18(3)9,
18(4)14
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12(2)10,
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15(1)5,
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17(3)11,
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14(1)7,
15(4)18
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16(3)11,
17(4)16,
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1(1)3,
2(1)3,
2(1)65,
2(1)105,
2(2)138,
2(2)177,
2(3)230,
2(4)354,
2(4)390,
3(2)107,
4(4)321,
4(4)453,
5(2)95,
6(3)327,
9(4)391,
10(4)2,
10(4)4,
11(4)21,
12(1)6,
13(1)5,
13(4)36,
16(1)4
- many,
1(1)93,
2(1)65,
2(2)159,
2(3)332,
10(1)4,
10(4)1,
11(3)13,
11(4)22,
11(4)23,
12(1)2,
12(3)17,
13(3)20,
13(3)22,
13(4)38,
13(4)39,
15(1)4,
15(2)6,
15(2)7,
16(2)5,
16(3)9,
16(4)17,
17(1)4,
17(3)12,
18(1)1,
18(4)13
- modeled,
13(3)26,
15(3)13,
18(2)7
- modification,
9(4)461,
12(2)8,
13(3)20,
13(3)25,
16(2)6,
18(2)5
- more,
2(1)3,
2(1)65,
2(3)332,
9(2)181,
9(4)391,
9(4)421,
9(4)461,
10(1)4,
10(3)9,
10(4)1,
10(4)4,
10(4)6,
11(2)3,
11(2)4,
11(2)6,
11(3)14,
11(4)21,
12(1)1,
12(2)8,
12(2)10,
12(2)12,
12(2)13,
13(1)10,
13(3)20,
13(3)21,
13(3)22,
13(3)28,
13(4)32,
13(4)34,
13(4)39,
14(3)27,
14(4)31,
15(1)2,
15(1)5,
15(2)8,
15(2)9,
15(3)11,
15(3)12,
15(4)16,
16(1)2,
16(2)8,
16(3)10,
16(3)11,
16(4)17,
17(1)2,
17(1)3,
17(3)9,
17(4)14,
17(4)16,
18(1)1,
18(3)11,
18(4)13
- node,
10(1)3,
10(4)1,
10(4)6,
11(2)3,
11(3)12,
11(3)13,
11(3)14,
11(3)15,
11(4)18,
11(4)22,
11(4)23,
12(1)2,
13(3)25,
13(4)29,
13(4)34,
13(4)38,
14(1)7,
14(3)27,
17(4)13
- number,
7(2)319,
9(2)181,
10(1)4,
10(2)5,
10(3)11,
10(3)12,
10(4)5,
11(1)2,
11(2)5,
11(3)12,
11(3)14,
11(3)15,
12(1)1,
12(1)2,
12(1)5,
12(1)6,
12(2)8,
12(2)9,
12(2)13,
12(3)16,
12(4)21,
13(1)10,
13(3)20,
13(3)22,
13(3)25,
13(4)32,
13(4)34,
14(1)11,
14(3)26,
14(4)31,
15(1)4,
15(2)7,
15(2)8,
15(4)15,
16(1)4,
16(2)7,
16(4)14,
16(4)16,
17(3)10,
17(4)16,
18(2)8
- object,
1(1)26,
10(1)2,
11(1)3,
14(3)23,
16(2)5,
16(4)13,
18(3)9
- obtain,
9(2)181,
10(3)9,
11(4)18,
11(4)19,
13(4)37,
14(1)14,
15(1)3,
16(4)15,
17(3)10,
18(1)4
- obtained,
1(1)26,
10(1)2,
10(1)4,
10(2)8,
11(3)13,
12(2)8,
14(1)14,
16(4)14,
18(4)12
- operation,
1(1)93,
2(4)416,
6(3)365,
9(4)421,
10(3)11,
11(4)20,
11(4)23,
12(2)10,
12(3)14,
13(1)9,
13(1)10,
14(1)13,
14(4)31,
16(3)12,
16(4)14,
18(1)2
- oracle,
11(2)4,
15(2)9
- order,
1(1)3,
9(2)181,
9(4)391,
9(4)461,
10(1)4,
10(2)5,
10(3)12,
11(2)6,
12(1)1,
12(1)3,
13(3)24,
15(4)17,
16(1)4,
17(2)6,
17(3)11,
18(1)2
- ordered,
12(1)3
- ours,
12(1)3
- path,
2(2)138,
8(2)153,
9(4)421,
10(1)3,
10(4)6,
11(2)3,
12(2)10,
12(2)13
- population,
17(4)16,
18(4)14
- previous,
1(1)3,
1(1)93,
2(2)138,
11(2)3,
11(4)20,
12(3)16,
13(1)10,
13(3)25,
14(1)3,
14(1)4,
15(2)9,
15(2)10,
16(2)5,
16(4)13,
16(4)15,
16(4)17,
17(3)12
- private,
2(2)177,
2(3)230,
2(4)416,
6(4)472,
11(2)6,
12(1)6,
12(2)9,
12(3)16,
12(3)17,
13(4)37,
14(3)26
- privileges,
2(1)3,
9(4)391,
10(2)7,
13(1)10
- problem,
1(1)3,
2(3)269,
2(3)295,
5(3)238,
9(2)162,
9(4)391,
10(2)5,
10(2)8,
10(3)9,
10(3)10,
10(3)12,
10(4)1,
10(4)3,
11(2)2,
11(3)12,
11(3)15,
11(4)19,
12(1)2,
12(1)6,
12(2)9,
12(4)20,
13(3)22,
13(3)26,
13(3)27,
13(4)33,
13(4)36,
13(4)40,
14(3)25,
14(4)31,
15(4)15,
15(4)18,
16(1)3,
16(1)4,
16(3)11,
16(4)15,
17(2)8,
17(3)11,
17(4)15,
18(1)3
- property,
1(1)66,
1(1)93,
2(1)34,
2(2)177,
9(4)391,
10(1)2,
10(2)7,
10(2)8,
10(3)9,
11(1)2,
11(3)12,
11(3)13,
12(1)2,
12(1)3,
12(2)8,
12(2)9,
12(3)14,
12(3)19,
12(4)21,
13(3)26,
13(4)41,
14(2)16,
15(1)4,
15(2)9,
15(2)10,
15(3)14,
15(4)18,
16(1)3,
16(2)5,
17(1)3,
17(1)4,
18(1)3,
18(2)6,
18(2)8,
18(4)12
- propose,
1(1)26,
2(1)65,
2(2)138,
2(3)269,
9(2)162,
9(4)391,
9(4)421,
10(1)3,
10(1)4,
10(3)12,
10(4)1,
10(4)3,
10(4)4,
10(4)6,
11(1)3,
11(1)4,
11(3)12,
11(3)15,
11(4)18,
11(4)19,
11(4)23,
12(1)4,
12(2)8,
12(2)11,
12(2)13,
13(3)28,
13(4)32,
13(4)36,
13(4)40,
13(4)41,
14(1)5,
14(1)10,
14(1)11,
14(3)24,
14(3)26,
14(4)30,
15(2)7,
15(4)17,
16(1)2,
16(4)15,
16(4)16,
17(1)1,
17(3)10,
17(3)11,
17(3)12,
17(4)13,
17(4)14,
18(1)2,
18(2)7
- proposed,
1(1)93,
2(2)138,
2(3)269,
2(4)416,
4(3)224,
9(2)162,
9(4)421,
10(1)2,
10(3)12,
10(4)4,
11(1)2,
11(1)3,
11(2)5,
11(3)14,
11(4)22,
11(4)23,
12(1)2,
12(1)3,
12(4)21,
13(3)20,
13(3)27,
13(3)28,
13(4)36,
13(4)38,
13(4)39,
14(3)24,
14(3)27,
15(1)5,
15(3)11,
15(3)13,
15(4)15,
15(4)17,
16(3)10,
16(3)11,
16(4)14,
16(4)16,
17(1)3,
17(4)14,
18(3)11
- provably,
7(2)206,
10(3)10,
11(2)4,
11(3)13,
12(3)19,
12(4)21,
13(3)21,
13(4)29,
16(4)15,
17(1)4
- pseudorandom,
13(1)10,
14(1)11
- public,
1(1)66,
2(2)138,
2(3)230,
4(4)453,
7(1)21,
10(3)10,
11(2)4,
11(3)16,
12(1)3,
12(3)16,
12(4)22,
16(4)15,
17(2)5,
17(3)10
- random,
10(4)3,
11(2)3,
11(2)4,
11(3)13,
11(3)15,
12(1)2,
13(1)10,
14(1)12,
15(2)9,
15(3)12
- reduction,
2(3)295,
9(4)391,
9(4)461,
13(4)29,
16(1)4,
17(1)1
- represented,
11(2)1,
12(1)1,
16(4)17
- revocation,
6(3)404,
9(3)325,
9(4)461,
11(3)14,
14(4)29
- same,
2(2)177,
2(3)269,
2(4)390,
10(1)3,
10(1)4,
11(2)3,
12(2)10,
12(4)21,
13(1)10,
13(3)25,
13(4)31,
15(1)3,
15(2)7,
15(2)10,
15(4)16,
17(3)10,
17(4)15,
18(1)1
- satisfy,
1(1)93,
10(2)5,
11(1)2,
12(4)20,
13(3)26,
15(3)13,
16(1)4,
18(2)6
- scheme,
7(2)206,
7(4)523,
8(2)228,
9(3)325,
9(4)461,
10(4)5,
11(2)4,
11(2)5,
11(3)14,
11(3)15,
11(4)18,
11(4)22,
12(1)2,
12(1)3,
12(2)9,
12(3)15,
12(3)16,
13(4)29,
13(4)31,
13(4)37,
13(4)41,
14(1)5,
15(2)9,
15(4)18,
17(2)6,
17(3)10,
17(4)14,
17(4)15
- schemes,
3(3)161,
9(1)1,
9(4)461,
10(4)4,
10(4)5,
11(2)1,
11(2)4,
11(2)5,
11(3)15,
11(4)22,
12(1)2,
12(1)3,
12(2)8,
13(3)25,
13(4)39,
14(1)14,
14(4)29,
15(2)9,
17(1)4,
17(2)6,
17(4)15,
18(3)10
- secure,
1(1)93,
2(2)159,
2(2)177,
2(3)332,
2(4)390,
4(1)72,
4(2)103,
4(2)134,
4(4)321,
5(3)290,
6(4)472,
7(4)523,
9(1)1,
9(1)31,
9(1)94,
9(2)162,
9(4)461,
10(2)8,
10(3)10,
10(3)11,
10(4)3,
10(4)6,
11(2)4,
11(2)5,
11(3)13,
11(3)14,
11(4)18,
11(4)22,
11(4)23,
12(1)2,
12(1)3,
12(1)6,
12(3)16,
12(4)21,
12(4)22,
13(1)9,
13(3)21,
13(3)28,
13(4)29,
14(3)23,
14(3)27,
14(4)31,
15(2)6,
15(2)9,
16(3)11,
16(4)15,
17(2)5,
17(2)6,
17(4)13,
18(2)5,
18(4)13
- set,
2(1)34,
2(2)138,
2(4)390,
8(1)3,
9(4)421,
10(2)5,
10(3)12,
10(4)2,
10(4)3,
10(4)5,
11(2)1,
11(2)3,
11(3)13,
11(4)18,
11(4)21,
12(2)11,
12(3)19,
12(4)20,
12(4)21,
13(1)9,
13(1)10,
13(3)27,
13(4)40,
14(1)12,
14(3)25,
14(4)31,
15(1)2,
15(2)7,
15(2)10,
15(3)13,
15(4)15,
16(1)4,
17(1)2,
17(2)8,
17(3)11,
17(4)13,
17(4)14,
18(1)4,
18(3)10,
18(3)11
- simple,
2(3)230,
5(3)203,
9(2)181,
10(1)4,
10(3)11,
12(2)9,
12(2)13,
12(4)21,
12(4)22,
13(3)26,
13(4)33,
14(3)27,
15(2)9,
15(4)17,
17(1)2,
18(1)1
- single,
2(2)177,
2(4)354,
10(1)4,
10(3)11,
10(4)1,
10(4)2,
11(1)4,
11(2)5,
13(1)10,
14(1)3,
15(1)4,
17(3)10,
17(4)16
- small,
2(3)295,
10(3)11,
10(4)3,
10(4)5,
12(1)6,
12(3)15,
12(3)16,
12(4)21,
14(1)12,
15(1)3,
15(1)4,
15(4)15,
16(1)1,
17(4)15,
18(2)5
- solution,
9(2)162,
10(4)1,
11(1)2,
11(1)4,
11(4)20,
12(1)3,
12(1)6,
12(3)16,
12(4)21,
13(3)22,
13(3)25,
13(3)27,
13(3)28,
15(2)7,
16(2)6,
16(3)11,
17(1)4,
17(3)9,
17(3)10,
17(3)11,
18(1)1,
18(1)3
- space,
2(3)295,
6(1)43,
6(3)327,
10(4)5,
12(2)8,
12(3)19,
14(1)14,
15(1)2,
18(4)13
- standard,
2(3)230,
2(4)416,
4(3)224,
7(2)319,
10(2)8,
10(3)11,
10(3)12,
11(1)4,
11(2)4,
12(1)1,
13(3)28,
13(4)35,
13(4)37,
13(4)41,
15(1)2,
16(1)2,
16(1)3,
16(3)10,
16(4)15,
17(3)11,
17(4)16,
18(4)14
- step,
10(1)2,
10(1)4,
12(3)19,
12(4)22,
13(1)10,
13(4)40,
14(3)26,
14(3)27,
15(4)18,
16(1)4,
16(3)10
- storage,
2(3)295,
2(4)354,
9(1)1,
10(4)3,
11(1)4,
12(1)3,
12(3)15,
12(3)16,
13(3)22,
13(4)30,
13(4)37,
14(1)12,
14(2)20,
15(2)6,
15(2)9,
16(3)12,
17(3)10,
17(4)15
- stored,
11(2)2,
12(3)16,
13(3)22,
13(4)30,
14(1)12,
17(4)15
- storing,
10(4)3
- substantial,
14(1)14,
16(1)1
- technique,
1(1)3,
2(2)138,
2(3)230,
2(3)295,
2(4)416,
7(2)274,
9(4)391,
9(4)461,
10(2)6,
10(3)9,
10(4)6,
11(2)2,
11(3)12,
11(3)16,
11(4)17,
11(4)18,
11(4)22,
12(1)4,
12(2)11,
12(2)13,
12(3)16,
13(3)22,
13(3)25,
13(3)28,
13(4)32,
13(4)33,
13(4)35,
13(4)36,
13(4)39,
14(1)3,
14(1)5,
14(1)6,
14(1)13,
14(3)24,
14(4)32,
15(1)2,
15(1)5,
15(2)7,
15(2)8,
15(3)12,
15(4)17,
15(4)18,
16(1)2,
16(2)6,
16(2)7,
16(3)11,
16(4)13,
16(4)14,
17(3)9,
17(3)12,
17(4)16,
18(1)2,
18(2)6,
18(3)11
- them,
11(1)4,
15(2)6,
17(3)11
- then,
1(1)3,
2(1)3,
2(1)65,
2(2)138,
9(4)461,
10(1)2,
10(1)4,
11(2)4,
11(4)18,
12(2)8,
12(2)13,
12(4)22,
13(1)10,
13(3)22,
13(3)25,
13(4)32,
14(4)30,
14(4)31,
14(4)32,
15(1)4,
15(2)6,
15(3)13,
15(4)18,
16(2)5,
16(2)8,
17(3)9,
17(4)15,
18(1)3,
18(1)4,
18(4)12
- time,
2(1)105,
2(3)332,
2(4)390,
2(4)416,
9(4)461,
10(1)3,
10(2)8,
11(2)3,
11(2)4,
11(2)5,
11(3)13,
11(4)17,
11(4)20,
11(4)21,
11(4)23,
12(2)8,
12(3)17,
12(3)19,
12(4)20,
12(4)21,
12(4)22,
13(4)37,
13(4)39,
14(1)2,
14(1)11,
14(1)14,
14(3)26,
14(4)31,
15(2)7,
15(3)12,
15(4)17,
16(1)4,
16(4)13,
16(4)14,
16(4)17,
17(3)9,
17(3)10,
17(3)11,
17(4)13,
18(1)2,
18(1)4,
18(3)10
- total,
12(1)6,
15(1)4,
15(3)12,
17(4)13
- tree,
1(1)3,
8(3)287,
11(4)18
- update,
9(4)421,
11(3)15,
13(3)20,
13(4)37,
17(4)15
- use,
2(1)3,
2(1)105,
2(2)138,
2(2)177,
2(3)230,
2(3)269,
2(3)332,
2(4)354,
2(4)390,
4(2)103,
7(1)21,
9(4)391,
9(4)421,
9(4)461,
10(1)4,
10(2)5,
10(3)11,
10(4)1,
10(4)3,
10(4)5,
10(4)6,
11(1)2,
11(1)3,
11(1)4,
11(2)1,
11(2)4,
11(3)13,
11(3)14,
11(4)18,
11(4)19,
11(4)21,
11(4)22,
12(2)10,
12(3)16,
13(3)22,
13(3)24,
13(3)25,
13(4)29,
13(4)31,
13(4)36,
14(1)6,
14(1)8,
14(1)10,
14(1)11,
14(4)31,
14(4)32,
15(1)3,
15(1)4,
15(1)5,
15(2)7,
15(3)12,
15(4)15,
15(4)16,
15(4)17,
16(2)8,
16(4)15,
16(4)17,
17(2)5,
17(2)6,
17(2)7,
17(2)8,
17(4)15,
17(4)16,
18(1)1,
18(2)6,
18(3)9,
18(4)14
- via,
2(3)295,
2(4)390,
9(4)461,
11(3)13,
12(3)14,
14(1)9,
16(2)7,
16(4)17,
17(2)5
- whenever,
10(4)4,
12(3)19,
13(3)22
- whereas,
17(1)2,
18(4)14
- work,
2(2)138,
2(3)269,
2(4)416,
10(3)10,
10(4)6,
11(2)2,
11(2)3,
11(3)15,
11(4)17,
11(4)19,
12(2)10,
12(2)11,
12(2)12,
12(3)16,
12(3)17,
13(3)25,
13(4)38,
14(1)2,
14(1)14,
15(2)7,
15(2)10,
15(3)12,
15(4)15,
15(4)17,
16(1)3,
16(1)4,
16(2)8,
16(3)10,
16(3)11,
16(4)13,
16(4)15,
17(3)12,
18(2)6,
18(4)13