Results 71 to 80 of about 6,424 (109)

Unitary Cyclotomic Polynomials [PDF]

, 2020
The notion of block divisibility naturally leads one to introduce unitary cyclotomic polynomials. We formulate some basic properties of unitary cyclotomic polynomials and study how they are connected with cyclotomic, inclusion-exclusion and Kronecker ...
Tóth, László, Moree, Pieter
core   +1 more source

Families of LDPC Codes Derived from Nonprimitive BCH Codes and Cyclotomic Cosets

CoRR, 2008
Low-density parity check (LDPC) codes are an important class of codes with many applications. Two algebraic methods for constructing regular LDPC codes are derived -- one based on nonprimitive narrow-sense BCH codes and the other directly based on cyclotomic cosets.
openaire   +3 more sources

Cyclotomic matrices and graphs [PDF]

, 2010
We generalise the study of cyclotomic matrices - those with all eigenvalues in the interval [-2; 2] - from symmetric rational integer matrices to Hermitian matrices with entries from rings of integers of imaginary quadratic fields.
Taylor, Graeme
core   +3 more sources

Diagonally cyclic equitable rectangles and cyclotomic orthomorphisms

, 2014
This thesis deals with two related combinatorial topics, namely cyclotomic orthomorphisms and diagonally cyclic equitable rectangles. An orthomorphism θ of a finite field F is a permutation of the elements of F satisfying θ(x) - x is also a permutation ...
Fear, David
core  

Some Implications on Amorphic Association Schemes [PDF]

AMS classifications: 05E30, 05B20;amorphic association scheme;strongly regular graph;(negative) Latin square type;cyclotomic association scheme;strongly regular ...
Dam, E.R. van, Muzychuk, M.
core  

SMARANDACHE COSETS

, 2008
This paper aims to study the Smarandache cosets and derive some interesting results about them. We prove the classical Lagranges theorem for Smarandache semigroup is not true and that there does not exist a one-to-one correspondence between any two right
W. B. Vasantha Kandasamy
core  

Cyclotomy, cyclotomic cosets and arithmetic properties of some families in $ \frac{\mathbb{F}_l[x]}{\langle x^{p^sq^t}-1\rangle} $

AIMS Mathematics
Arithmetic properties of some families in $\frac{\mathbb{F}_l[x]}{\langle x^{p^sq^t}-1\rangle}$ are obtained by using the cyclotomic classes of order 2 with respect to $n=p^sq^t$, where $p\equiv3 \mathrm{mod} 4$, $\gcd(ϕ(p^s),ϕ(q^t))=2$, $l$ is a primitive root modulo $q^t$ and $\mathrm{ord}_{p^s}(l)=ϕ(p^s)/2$.
Zhou, Juncheng, Wu, Hongfeng
openaire   +2 more sources

IPR.

, 2008
There are totally 44 cosets.

core  

Cyclotomic fields and zeta values

, 2006
Cyclotomic fields have occupied a central place in number theory, and the so called ""main conjecture"" on cyclotomic fields is arguably the deepest theorem known about them.
Coates, John, Sujatha, R
core   +1 more source

Dressing cosets and multi-parametric integrable deformations

, 2019
International audienceWe provide a new construction of the dressing cosets σ-models which is based on an isotropic gauging of the $ \mathcal{E} $ -models.
Klimčík, Ctirad
core   +1 more source