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Cyclotomic polynomial
Known as:
Cyclotomic polynomials
, Cyclotonic polynomial
In mathematics, more specifically in algebra, the nth cyclotomic polynomial, for any positive integer n, is the unique irreducible polynomial with…
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Related topics
Related topics
20 relations
All one polynomial
Coefficient
Discrete Fourier transform
Eisenstein's criterion
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Papers overview
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2017
2017
Four classes of linear codes from cyclotomic cosets
Dabin Zheng
,
Jingjun Bao
Designs, Codes and Cryptography
2017
Corpus ID: 4625033
This paper presents four classes of linear codes from coset representatives of subgroups and cyclotomic coset families of certain…
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2017
2017
Generalised Supplementarity and new rule for Empty Diagrams to Make the ZX-Calculus More Expressive
E. Jeandel
,
S. Perdrix
,
R. Vilmart
,
Quanlong Wang
arXiv.org
2017
Corpus ID: 15041352
The ZX-Calculus is a powerful diagrammatic language for quantum mechanics and quantum information processing. The completeness of…
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2015
2015
A Practical Key Exchange for the Internet using Lattice Cryptography
Vikram Singh
IACR Cryptology ePrint Archive
2015
Corpus ID: 15200612
In [21], Peikert presents an efficient and provably secure set of lower level primitives for practical post-quantum cryptography…
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2014
2014
An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields
M. Madritsch
,
V. Ziegler
2014
Corpus ID: 119655352
Let ζ_k be a k -th primitive root of unity, m ≥ø( k ) + 1 an integer and Φ_k( X ) ∈ ℤ[ X ] the k -th cyclotomic polynomial. In…
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2012
2012
Flat Cyclotomic Polynomials: A New Approach
Sam Elder
2012
Corpus ID: 117091150
We build a new theory for analyzing the coefficients of any cyclotomic polynomial by considering it as a gcd of simpler…
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2010
2010
A symbol-reliability based message-passing decoding algorithm for nonbinary LDPC codes over finite fields
Chao Chen
,
B. Bai
,
Xiao Ma
,
Xinmei Wang
International Symposium on Turbo Codes and…
2010
Corpus ID: 14705301
Based on the idea of plurality voting, we develop a low-complexity symbol-reliability based message-passing decoding algorithm…
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2007
2007
Reciprocal cyclotomic polynomials
P. Moree
2007
Corpus ID: 15855202
Let $\Psi_n(x)$ be the monic polynomial having precisely all non-primitive $n$th roots of unity as its simple zeros. One has…
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1999
1999
Cyclotomy and cyclotomic polynomials
B. Sury
1999
Corpus ID: 115308717
As these n points on the circle are also the corners of a regular n-gon, the problem of cyclotomy is equivalent to the problem of…
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Highly Cited
1997
Highly Cited
1997
Using Cyclotomic Polynomials to Construct Efficient Discrete Logarithm Cryptosystems Over Finite Fields
A. Lenstra
Australasian Conference on Information Security…
1997
Corpus ID: 39393535
We show how to use cyclotomic polynomials to construct subgroups of multiplicative groups of finite fields that allow very…
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1957
1957
On the growth of the cyclotomic polynomial in the interval (0, 1)
P. Erdös
Proceedings of the Glasgow Mathematical…
1957
Corpus ID: 18241106
Let be the rath cyclotomic polynomial, and denote by An the absolute value of the largest coefficient of Fn(x).Schur proved that…
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