Results 31 to 40 of about 216,076 (266)

Constant composition codes as subcodes of linear codes [PDF]

Journal of Applied Mathematics and Computing, 2019
13pages
Long Yu, Xiusheng Liu
openaire   +2 more sources

The extended codes of some linear codes

Finite Fields and Their Applications
The classical way of extending an $[n, k, d]$ linear code $\C$ is to add an overall parity-check coordinate to each codeword of the linear code $\C$. This extended code, denoted by $\overline{\C}(-\bone)$ and called the standardly extended code of $\C$, is a linear code with parameters $[n+1, k, \bar{d}]$, where $\bar{d}=d$ or $\bar{d}=d+1$.
Zhonghua Sun 0001, Cunsheng Ding, Tingfang Chen   +2 more
openaire   +3 more sources

CODING IN GRAPHS AND LINEAR ORDERINGS [PDF]

The Journal of Symbolic Logic, 2020
AbstractThere is a Turing computable embedding $\Phi $ of directed graphs $\mathcal {A}$ in undirected graphs (see [15]). Moreover, there is a fixed tuple of formulas that give a uniform effective interpretation; i.e., for all directed graphs $\mathcal {A}$ , these formulas interpret $\mathcal {A}$ in $\Phi (\mathcal {A})$ .
Julia F. Knight, Alexandra A. Soskova, Stefan V. Vatev   +2 more
openaire   +3 more sources

Code multiplexing using linear block codes [PDF]

EPJ Web of Conferences
This paper explores the application of code multiplexing using linear block codes in communication systems. Through a comprehensive analysis of contemporary literature on switching methods and signal modeling, the study investigates the principles of ...
Rabin Alexey, Rabin Sergei, Zyulkov Arseniy   +2 more
doaj   +1 more source

Additive Codes From Linear Codes

IEEE Transactions on Information Theory
We introduce two constructions of additive codes over finite fields. Both constructions start with a linear code over a field with $q$ elements and give additive codes over the field with $q^h$ elements whose minimum distance is demonstrably good.
Simeon Ball, Tabriz Popatia
openaire   +2 more sources

Linear transformations on codes

Discrete Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David G. Glynn, T. Aaron Gulliver, Manish K. Gupta 0004   +2 more
openaire   +2 more sources

Linear codes and cyclic codes over finite rings and their generalizations: a survey

Electronic Journal of Graph Theory and Applications, 2023
We survey a recent progress of cyclic codes over finite rings and their generalization to skew cyclic as well as skew cyclic codes with derivation over finite rings, focusing on structural properties of the codes.
Djoko Suprijanto
doaj   +1 more source

The Combined Effect of Obesity and Contraceptive Use on Pulmonary Embolism in Adolescent Females Residing in the United States

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
wiley   +1 more source

Non-Projective Two-Weight Codes

Entropy
It has been known since the 1970’s that the difference of the non-zero weights of a projective Fq-linear two-weight code has to be a power of the characteristic of the underlying field.
Sascha Kurz
doaj   +1 more source

New Non-Binary Quantum Codes Derived From a Class of Linear Codes

IEEE Access, 2019
In this short paper, we consider the non-binary quantum codes construction from a class of linear codes, which are not self-orthogonal over finite fields. As the computational results, new quantum codes [[8, 0, ≥ 4]]3, [[8, 2, ≥ 3]]3, [[11,
Jian Gao, Yongkang Wang
doaj   +1 more source