Paper Abstract and Keywords |
Presentation |
2007-05-18 12:50
Birthday Paradox for Multi-Collisions Kazuhiro Suzuki (Ibaraki Univ.), Dongvu Tonien (Uni.y of Wollongong), Kaoru Kurosawa, Koji Toyota (Ibaraki Univ.) ISEC2007-6 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we study multi-collision probability.
For a hash function $H:D \rightarrow R$
with $|R|=n$,
it has been believed that
we can find an $s$-collision
by hashing $Q=n^{(s-1)/s}$ times.
We first show that this probability is
at most
$1/s!$ which is very small
for large $s$.
We next show that by hashing $(s!)^{1/s} \times Q$ times,
an $s$-collision is found with probability approximately
$0.5$ for sufficiently large $n$.
Note that if $s=2$, it coincides with
the usual birthday paradox.
Hence it is a generalization of the birthday paradox
to multi-collisions. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
hash function / birthday paradox / multi-collision / collision resistant / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 107, no. 44, ISEC2007-6, pp. 39-44, May 2007. |
Paper # |
ISEC2007-6 |
Date of Issue |
2007-05-11 (ISEC) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
Download PDF |
ISEC2007-6 |
Conference Information |
Committee |
ISEC |
Conference Date |
2007-05-18 - 2007-05-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kikai-Shinko-Kaikan Bldg. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
ISEC |
Conference Code |
2007-05-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Birthday Paradox for Multi-Collisions |
Sub Title (in English) |
|
Keyword(1) |
hash function |
Keyword(2) |
birthday paradox |
Keyword(3) |
multi-collision |
Keyword(4) |
collision resistant |
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Kazuhiro Suzuki |
1st Author's Affiliation |
Ibaraki University (Ibaraki Univ.) |
2nd Author's Name |
Dongvu Tonien |
2nd Author's Affiliation |
University of Wollongong (Uni.y of Wollongong) |
3rd Author's Name |
Kaoru Kurosawa |
3rd Author's Affiliation |
Ibaraki University (Ibaraki Univ.) |
4th Author's Name |
Koji Toyota |
4th Author's Affiliation |
Ibaraki University (Ibaraki Univ.) |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2007-05-18 12:50:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2007-6 |
Volume (vol) |
vol.107 |
Number (no) |
no.44 |
Page |
pp.39-44 |
#Pages |
6 |
Date of Issue |
2007-05-11 (ISEC) |
|