[图书][B] Partial spreads and vector space partitions

T Honold, M Kiermaier, S Kurz - 2018 - Springer
Constant-dimension codes with the maximum possible minimum distance have been
studied under the name of partial spreads in Finite Geometry for several decades. Not …

Divisible codes

S Kurz - arXiv preprint arXiv:2112.11763, 2021 - arxiv.org
A linear code over $\mathbb {F} _q $ with the Hamming metric is called $\Delta $-divisible if
the weights of all codewords are divisible by $\Delta $. They have been introduced by …

[图书][B] Noncommutative cosmology

M Marcolli - 2018 - World Scientific
The main idea behind noncommutative geometry (see [Connes (1994)] for an extensive
treatment of the subject) lies in the correspondence between spaces and algebras of …

Adinkras for mathematicians

Y Zhang - Transactions of the American Mathematical Society, 2014 - ams.org
Adinkras are graphical tools created to study representations of supersymmetry algebras.
Besides having inherent interest for physicists, the study of adinkras has already shown non …

The lengths of projective triply-even binary codes

T Honold, M Kiermaier, S Kurz… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
The Lengths of Projective Triply-Even Binary Codes Page 1 IEEE TRANSACTIONS ON
INFORMATION THEORY, VOL. 66, NO. 5, MAY 2020 2713 The Lengths of Projective Triply-Even …

Adinkra (in) equivalence from Coxeter group representations: A case study

I Chappell, SJ Gates Jr, T Hübsch - International Journal of Modern …, 2014 - World Scientific
Using a Mathematica TM code, we present a straightforward numerical analysis of the 384-
dimensional solution space of signed permutation 4× 4 matrices, which in sets of four …

[图书][B] Advanced concepts in particle and field theory

T Hübsch - 2016 - library.oapen.org
Uniting the usually distinct areas of particle physics and quantum field theory, gravity and
general relativity, this expansive and comprehensive textbook of fundamental and …

From Diophantus to Supergravity and massless higher spin multiplets

SJ Gates, K Koutrolikos - Journal of High Energy Physics, 2017 - Springer
A bstract We present a new method of deriving the off-shell spectrum of supergravity and
massless 4D,\(\mathcal {N}\)= 1 higher spin multiplets without the need of an action and …

Adinkras: graphs of clifford algebra representations, supersymmetry, and codes

K Iga - Advances in Applied Clifford Algebras, 2021 - Springer
An Adinkra is a graph from the study of supersymmetry in particle physics, but it can be
adapted to study Clifford algebra representations. The graph in this context is called a …

Eigenvalues and critical groups of Adinkras

K Iga, C Klivans, J Kostiuk, CH Yuen - Advances in Applied Mathematics, 2023 - Elsevier
Adinkras are signed graphs used to study supersymmetry in physics. We provide an
introduction to these objects, and study the properties of their signed adjacency and signed …