Results 61 to 70 of about 2,328 (103)
Entanglement-Assisted Quantum Codes from Cyclic Codes. [PDF]
Entropy (Basel), 2022 Pereira FRF, Mancini S.
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, 2012 This paper is concerned with general analysis on the rank and row-redundancy of an array of circulants whose null space defines a QC-LDPC code. Based on the Fourier transform and the properties of conjugacy classes and Hadamard products of matrices, we ...
Huang, Qin, Liu, Keke, Wang, Zulin
core
, 2007 This note is a stripped down version of a published paper on the Potts partition function, where we concentrate solely on the linear coding aspect of our approach. It is meant as a resource for people interested in coding theory but who do not know much of the mathematics involved and how quantum computation may provide a speed up in the computation of
Geraci, Joseph, Van Bussel, Frank
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The Ring-LWE Problem in Lattice-Based Cryptography: The Case of Twisted Embeddings. [PDF]
Entropy (Basel), 2021 Ortiz JN +4 more
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Families of LDPC Codes Derived from Nonprimitive BCH Codes and Cyclotomic Cosets
, 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.
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An Euler system for GU(2, 1). [PDF]
Math Ann, 2022 Loeffler D, Skinner C, Zerbes SL.
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Moderate-density parity-check codes from projective bundles. [PDF]
Des Codes Cryptogr, 2022 Bariffi J +3 more
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The number of maximal torsion cosets in subvarieties of tori
, 2015 We present sharp bounds on the number of maximal torsion cosets in a subvariety of the complex algebraic torus $\mathbb{G}_{\textrm{m}}^n$. Our first main result gives a bound in terms of the degree of the defining polynomials.
Martínez, César
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Analysis of Blind Reconstruction of BCH Codes. [PDF]
Entropy (Basel), 2020 Kwon S, Shin DJ.
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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
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