Results 61 to 70 of about 374 (164)

Quadratic differentials and equivariant deformation theory of curves [PDF]

, 2012
Given a finite p-group G acting on a smooth projective curve X over an algebraically closed field k of characteristic p, the dimension of the tangent space of the associated equivariant deformation functor is equal to the dimension of the space of ...
Koeck, Bernhard, Köck, Bernhard, Kontogeorgis, Aristides   +2 more
core   +1 more source

Automorphism Set Construction for Automorphism Ensemble Decoding With Reduced Delay

IEEE Open Journal of the Communications Society
The anticipated demands of 6G ultra-reliable low-latency communications (URLLC) call for near-instantaneous data transfers and error-correction efficiency rivaling maximum-likelihood (ML) decoding. Achieving an effective compromise between latency, power
Anna Fominykh, Kirill Shabunov
doaj   +1 more source

Automorphism of Cyclic Codes

Intelligent Information Management, 2012
We investigate how the code automorphism group can be used to study such combinatorial object as codes. Consider GF(qn) as a vector over GF(q). For any k = 0, 1, 2, 3, ???, n. Which GF(qn) exactly one subspace C of dimension k and which is invariant under the automorphism.
openaire   +1 more source

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

On the automorphism groups of binary linear codes

CoRR, 2013
Let C be a binary linear code and suppose that its automorphism group contains a non trivial subgroup G. What can we say about C knowing G? In this paper we collect some answers to this question in the cases G=C_p, G=C_2p and G=D_2p (p an odd prime), with a particular regard to the case in which C is self-dual.
openaire   +2 more sources

The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima   +2 more
wiley   +1 more source

Automorphism in gauge theories: Higher symmetries and transversal non-Clifford logical gates

SciPost Physics
Gauge theories are important descriptions for many physical phenomena and systems in quantum computation. Automorphism of gauge group naturally gives global symmetries of gauge theories.
Po-Shen Hsin, Ryohei Kobayashi
doaj   +1 more source

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

SKEW CONSTACYCLIC CODES OVER THE LOCAL FROBENIUS NON-CHAIN RINGS OF ORDER 16 [PDF]

, 2020
We introduce skew constacyclic codes over the local Frobenius non-chain rings of order 16 by defining non-trivial automorphisms on these rings. We study the Gray images of these codes, obtaining a number of binary and quaternary codes with good ...
Cengellenmis, Yasemin, Salturk, Esengul, Dougherty, Steven T., Dertli, Abdullah, Aydin, Nuh   +4 more
core   +1 more source

On automorphism groups of binary cyclic codes

Designs, Codes and Cryptography
A lot of attention has been paid to the investigation of the algebraic properties of linear codes. In most cases, this investigation involves the determination of required code automorphisms, which are useful for decoders, such as the automorphism ensemble decoder. It is worth noting that the examination of the automorphism groups of discrete symmetric
Jicheng Ma, Guiying Yan
openaire   +2 more sources