Results 11 to 20 of about 178,102 (268)
A Tutorial on Decoding Techniques of Sparse Code Multiple Access
IEEE Access, 2022 Sparse Code Multiple Access (SCMA) is a disruptive code-domain non-orthogonal multiple access (NOMA) scheme to enable future massive machine-type communication networks.
Saumya Chaturvedi +4 more
doaj +1 more source
Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of $$M_{11}$$ [PDF]
Applicable Algebra in Engineering, Communication and Computing, 2021 In this paper we generalize the construction of binary self-orthogonal codes obtained from weakly self-orthogonal designs described by Tonchev in [12] in order to obtain self-orthogonal codes over an arbitrary field. We extend construction self-orthogonal codes from orbit matrices of self-orthogonal designs and weakly self-orthogonal 1-designs such ...
Mikulić Crnković, Vedrana +1 more
openaire +4 more sources
On Reversibility and Self-Duality for Some Classes of Quasi-Cyclic Codes
IEEE Access, 2020 In this work, we study two classes of quasi-cyclic (QC) codes and examine how several properties can be combined into the codes of these classes. We start with the class of QC codes generated by diagonal generator polynomial matrices; a QC code in this ...
Ramy Taki Eldin, Hajime Matsui
doaj +1 more source
Codes as fractals and noncommutative spaces [PDF]
, 2011 We consider the CSS algorithm relating self-orthogonal classical linear codes to q-ary quantum stabilizer codes and we show that to such a pair of a classical and a quantum code one can associate geometric spaces constructed using methods from ...
Marcolli, Matilde, Perez, Christopher
core +3 more sources
Algebraic geometric construction of a quantum stabilizer code [PDF]
, 2001 The stabilizer code is the most general algebraic construction of quantum error-correcting codes proposed so far. A stabilizer code can be constructed from a self-orthogonal subspace of a symplectic space over a finite field.
Matsumoto, Ryutaroh
core +4 more sources
Comparison of a collisional-radiative fluid model of H2 in UEDGE to the kinetic neutral code EIRENE
Nuclear Materials and Energy, 2021 A fluid collisional-radiative model for H2 has been implemented in the edge-fluid code UEDGE and compared to the kinetic neutral code EIRENE on a simple, 2D, orthogonal domain with a constant, static plasma distribution. The novel CRUMPET Python tool was
A. Holm +4 more
doaj +1 more source
Extending self-orthogonal codes
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: In this short note we give an exact count for the number of self-dual codes over a finite field \(\mathbb{F}_q\) of odd characteristic containing a given self-orthogonal code. This generalizes an analogous result of \textit{F. J. MacWilliams} et al. [Discrete Math.
Bassa, Alp, Tutaş, Nesrin
openaire +2 more sources
Matrix-Product Codes over Commutative Rings and Constructions Arising from σ,δ-Codes
Journal of Mathematics, 2021 A well-known lower bound (over finite fields and some special finite commutative rings) on the Hamming distance of a matrix-product code (MPC) is shown to remain valid over any commutative ring R.
Mhammed Boulagouaz, Abdulaziz Deajim
doaj +1 more source
From Skew-Cyclic Codes to Asymmetric Quantum Codes [PDF]
, 2010 We introduce an additive but not $\mathbb{F}_4$-linear map $S$ from $\mathbb{F}_4^{n}$ to $\mathbb{F}_4^{2n}$ and exhibit some of its interesting structural properties.
A. R. Calderbank +16 more
core +1 more source
Curvature-direction measures of self-similar sets [PDF]
, 2012 We obtain fractal Lipschitz-Killing curvature-direction measures for a large class of self-similar sets F in R^d. Such measures jointly describe the distribution of normal vectors and localize curvature by analogues of the higher order mean curvatures of
A Schief +20 more
core +1 more source