Twisted GFSR generators II
ACM Transactions on Modeling and Computer Simulation Volume 4 Issue 3
Page 254-266
published_at 1994-07
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| File | |
| Title ( eng ) |
Twisted GFSR generators II
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| Creator |
Kurita Yoshiharu
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| Source Title |
ACM Transactions on Modeling and Computer Simulation
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| Volume | 4 |
| Issue | 3 |
| Start Page | 254 |
| End Page | 266 |
| Abstract |
The twisted GFSR generators proposed in a previous article have a defect in k-distribution for k larger than the order of recurrence. In this follow up article, we introduce and analyze a new TGFSR variant having better k-distribution property. We provide an efficient algorithm to obtain the order of equidistribution, together with a tight upper bound on the order. We discuss a method to search for generators attaining this bound, and we list some of these such generators. The upper bound turns out to be (sometimes far) less than the maximum order of equidistribution for a generator of that period length, but far more than that for a GFSR with a working area of the same size.
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| Keywords |
GFSR
TGFSR
m-sequences
k-distribution
finite fields
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
ACM
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| Date of Issued | 1994-07 |
| Rights |
Copyright (c) 1998 ACM. This is the author version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM Transactions on Modeling and Computer Simulation,Vol.4 No.3 ; http://dx.doi.org/10.1145/189443.189445
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 1049-3301
[DOI] 10.1145/189443.189445
[NCID] AA10779230
[DOI] http://dx.doi.org/10.1145/189443.189445
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