Results 21 to 30 of about 2,113,636 (278)
Code algebras, axial algebras and VOAs [PDF]
, 2018 Inspired by code vertex operator algebras (VOAs) and their representation theory, we define code algebras, a new class of commutative non-associative algebras constructed from binary linear codes. Let $C$ be a binary linear code of length $n$.
Castillo-Ramirez, Alonso +2 more
core +3 more sources
Jacobi forms over number fields from linear codes
AIMS Mathematics, 2022 We suggest a Jacobi form over a number field $ \Bbb Q(\sqrt 5, i) $; for obtaining this, we use a linear code $ C $ over $ R: = \Bbb F_4+u\Bbb F_4 $, where $ u^2 = 0 $.
Boran Kim +3 more
doaj +1 more source
On the dual code of points and generators on the Hermitian variety H(2n+1,q²) [PDF]
, 2014 We study the dual linear code of points and generators on a non-singular Hermitian variety H(2n + 1, q(2)). We improve the earlier results for n = 2, we solve the minimum distance problem for general n, we classify the n smallest types of code words and ...
De Boeck, Maarten +1 more
core +2 more sources
Linear Codes from Two Weakly Regular Plateaued Balanced Functions
Entropy, 2023 Linear codes with a few weights have been extensively studied due to their wide applications in secret sharing schemes, strongly regular graphs, association schemes, and authentication codes.
Shudi Yang, Tonghui Zhang, Ping Li
doaj +1 more source
Universal Gr\"obner Bases for Binary Linear Codes [PDF]
, 2013 Each linear code can be described by a code ideal given as the sum of a toric ideal and a non-prime ideal. In this way, several concepts from the theory of toric ideals can be translated into the setting of code ideals.
Dück, Natalia, Zimmermann, Karl-Heinz
core +2 more sources
Efficiently Mapping Linear Algebra to High-Performance Code [PDF]
, 2019 Aware of the role that linear algebra plays in scientific applications, we investigate if/how matrix expressions can be efficiently evaluated with current high-level languages.
Barthels, Henrik +2 more
core +1 more source
Two classes of two-weight linear codes over finite fields
AIMS Mathematics, 2023 Let $ p\equiv 1\pmod 4 $ be a prime, $ m $ a positive integer, $ \frac{\phi(p^m)}2 $ the multiplicative order of $ 2 $ modulo $ p^m $, and let $ q = 2^{ \frac{\phi(p^m)}2} $, where $ \phi(\cdot) $ is the Euler's function. In this paper, we construct two
Jianying Rong , Fengwei Li, Ting Li
doaj +1 more source
Simulating Gyrokinetic Microinstabilities in Stellarator Geometry with GS2 [PDF]
, 2011 The nonlinear gyrokinetic code GS2 has been extended to treat non-axisymmetric stellarator geometry. Electromagnetic perturbations and multiple trapped particle regions are allowed.
Beidler C. +11 more
core +1 more source
New entanglement-assisted quantum codes constructed from Hermitian LCD codes
AIMS Mathematics, 2023 Hermitian linear complementary dual (LCD) codes are a class of linear codes that intersect with their Hermitian dual trivially. Each Hermitian LCD code can give an entanglement-assisted quantum error-correcting code (EAQECC) with maximal entanglement ...
Yuezhen Ren, Ruihu Li , Guanmin Guo
doaj +1 more source
Eye movements in code reading:relaxing the linear order [PDF]
, 2015 —Code reading is an important skill in programming. Inspired by the linearity that people exhibit while natural lan-guage text reading, we designed local and global gaze-based mea-sures to characterize linearity (left-to-right and top-to-bottom) in ...
Bednarik, Roman +7 more
core +2 more sources