Paper Abstract and Keywords |
Presentation |
2008-11-17 15:25
Hardware Algorithm for Division in GF(2^m) Based on the Extended Euclid's Algorithm Accelerated with Parallelization of Modular Reductions Katsuki Kobayashi, Naofumi Takagi (Nagoya Univ.) VLD2008-65 DC2008-33 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We propose a fast hardware algorithm for division in GF(2^m). It is based on the extended Euclid's algorithm and requires only one iteration to perform the operations that require two iterations of previously reported division algorithms based on the extended Euclid's algorithm. Since the algorithm performs modular reductions in parallel by changing the order of execution of the operations,a circuit based on this algorithm has almost the same critical path delay as the previously proposed ones. The circuit computes division in m clock cycles, whereas the previously proposed circuits take 2m-1 or more clock cycles. By logic synthesis, the computation time of the circuit is estimated to over 35% shorter than that of a previously proposed circuit. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Galois field / division / Euclid's algorithm / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 108, no. 298, VLD2008-65, pp. 31-36, Nov. 2008. |
Paper # |
VLD2008-65 |
Date of Issue |
2008-11-10 (VLD, DC) |
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 |
VLD2008-65 DC2008-33 |
Conference Information |
Committee |
VLD DC IPSJ-SLDM CPSY RECONF ICD CPM |
Conference Date |
2008-11-17 - 2008-11-19 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kitakyushu Science and Research Park |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Design Gaia 2008 ―New field of VLSI design― |
Paper Information |
Registration To |
VLD |
Conference Code |
2008-11-VLD-DC-SLDM-CPSY-RECONF-ICD-CPM |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Hardware Algorithm for Division in GF(2^m) Based on the Extended Euclid's Algorithm Accelerated with Parallelization of Modular Reductions |
Sub Title (in English) |
|
Keyword(1) |
Galois field |
Keyword(2) |
division |
Keyword(3) |
Euclid's algorithm |
Keyword(4) |
|
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Katsuki Kobayashi |
1st Author's Affiliation |
Nagoya University (Nagoya Univ.) |
2nd Author's Name |
Naofumi Takagi |
2nd Author's Affiliation |
Nagoya University (Nagoya Univ.) |
3rd Author's Name |
|
3rd Author's Affiliation |
() |
4th Author's Name |
|
4th Author's Affiliation |
() |
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 |
2008-11-17 15:25:00 |
Presentation Time |
25 minutes |
Registration for |
VLD |
Paper # |
VLD2008-65, DC2008-33 |
Volume (vol) |
vol.108 |
Number (no) |
no.298(VLD), no.299(DC) |
Page |
pp.31-36 |
#Pages |
6 |
Date of Issue |
2008-11-10 (VLD, DC) |
|