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Primitive polynomial (field theory)
Known as:
Primitive polynomial
In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF(pm…
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Related topics
Related topics
15 relations
All one polynomial
Conway polynomial (finite fields)
Cyclic redundancy check
Gauss's lemma (polynomial)
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
A Class of de Bruijn Sequences
Chaoyun Li
,
Xiangyong Zeng
,
Chunlei Li
,
T. Helleseth
IEEE Transactions on Information Theory
2014
Corpus ID: 14244724
In this paper, a class of linear feedback shift registers (LFSRs) with characteristic polynomial (1 + x3)p(x) is discussed, where…
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2012
2012
On the Number of Linear Feedback Shift Registers With a Special Structure
Srinivasan Krishnaswamy
,
H. Pillai
IEEE Transactions on Information Theory
2012
Corpus ID: 14531107
Given a primitive polynomial , of degree , we deal with the problem of finding the number of possible linear feedback shift…
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2011
2011
Selection of polynomials for cyclic redundancy check for the use of high speed embedded: an algorithmic procedure
A. Ahmad
,
L. Hayat
2011
Corpus ID: 55677461
Cyclic Redundancy Check (CRC) technique which is widely used tools in globally standardized telecommunications systems for…
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Review
2005
Review
2005
All-optical signal Processing and applications within the esprit project DO/spl I.bar/ALL
T. Houbavlis
,
K. Zoiros
,
+12 authors
W. Miller
Journal of Lightwave Technology
2005
Corpus ID: 3078766
This paper reviews the work performed under the European ESPRIT project DO/spl I.bar/ALL (Digital OpticAL Logic modules) spanning…
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2003
2003
Random Number Generators with Period Divisible by a Mersenne Prime
R. Brent
,
P. Zimmermann
Communication Systems and Applications
2003
Corpus ID: 587747
Pseudo-random numbers with long periods and good statistical properties are often required for applications in computational…
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2002
2002
An optimized processor for fast Reed-Solomon encoding and decoding
H. Ji
IEEE International Conference on Acoustics…
2002
Corpus ID: 16637057
In this paper we present an optimized processor for fast Reed-Solomon encoding and decoding by using a configurable processor…
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2000
2000
Improved blind turbo detector
P. Ha
,
B. Honary
VTC-Spring. IEEE 51st Vehicular Technology…
2000
Corpus ID: 62187742
The subject of turbo coding in the presence of an intersymbol interference (ISI) channel whose characteristics are unknown is…
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1994
1994
Weight distributions of some binary primitive cyclic codes
J. Wolfmann
IEEE Transactions on Information Theory
1994
Corpus ID: 35701407
Let s and k be integers such that s is a divisor of 2/sup k/-1. Let g(x) be a divisor of x/sup s/-1 over F/sub 2/, and let /spl…
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1993
1993
Primitive polynomials and M-sequences over GF(qm)
J. Komo
,
M. S. Lam
IEEE Transactions on Information Theory
1993
Corpus ID: 9200797
Procedures for obtaining primitive polynomials and m-sequences over GF(q/sup m/) in terms of primitive polynomials and m…
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Highly Cited
1985
Highly Cited
1985
Crosscorrelation of M-sequences and GMW-sequences with the same primitive polynomial
R. Games
Discrete Applied Mathematics
1985
Corpus ID: 2901515
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