Results 11 to 20 of about 1,009 (169)

On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]

, 2005
Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
core   +1 more source

Group Quantization on Configuration Space: Gauge Symmetries and Linear Fields [PDF]

, 1995
A new, configuration-space picture of a formalism of group quantization, the GAQ formalism, is presented in the context of a previous, algebraic generalization. This presentation serves to make a comprehensive discussion in which other extensions of the
Calixto Molina, Manuel, Navarro, Miguel, Aldaya Valverde, Víctor   +2 more
core   +1 more source

Algebraic (Trapdoor) One-Way Functions and Their Applications [PDF]

, 2013
In this paper we introduce the notion of {\em Algebraic (Trapdoor) One Way Functions}, which, roughly speaking, captures and formalizes many of the properties of number-theoretic one-way functions.
Konstantinos Vamvourellis, Catalano, Dario, Rosario Gennaro, Dario Catalano, Dario Fiore, Fiore, Dario, Gennaro, Rosario, Vamvourellis, Konstantinos   +7 more
core   +1 more source

Linear algebraic groups

, 1998
"[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for ...
T. A. Springer, Springer, T A
core   +1 more source

Automorphisms and opposition in spherical buildings of exceptional type, I

, 2022
To each automorphism of a spherical building, there is a naturally associated opposition diagram, which encodes the types of the simplices of the building that are mapped onto opposite simplices.
Van Maldeghem, Hendrik, Parkinson, James
core   +1 more source

Field-theoretic and linear-algebraic invariants

, 2015
This chapter deals with field-theoretic and linear-algebraic invariants. It first presents a construction of non-standard pseudo-split absolutely pseudosimple k-groups with root system A1 over any imperfect field k of characteristic 2.
Brian Conrad, Gopal Prasad
core   +1 more source

AI‐Physics‐Experiment Trinity for Integrated Protein Dynamics Modeling

Advanced Science, EarlyView.
This review unites experiments, physics‐based simulations, and AI as a synergistic triad for protein dynamics modeling. It highlights integrative strategies, resolves sampling and forcefield bottlenecks, and outlines challenges and future directions for accurate, interpretable conformational ensemble prediction.
Chen Shi, Minying Low, Peng Xiu, Kresten Lindorff‐Larsen, Yong Wang   +4 more
wiley   +1 more source

Compact subgroups of linear algebraic groups

, 1998
The general problem underlying this article is to give a qualitative classification of all compact subgroups Γ⊂GLn(F), whereFis a local field andnis arbitrary. It is natural to ask whether Γ is an open compact subgroup ofH(E), whereHis a linear algebraic
Richard Pink, Pink, Richard
core   +1 more source

Distributed Estimation and Control in Networked Systems [PDF]

, 2006
Rapid advances in information processing, communication and sensing technologies have enabled more and more devices to be provided with embedded processors, networking capabilities and sensors.
Gupta, Vijay, Vijay Gupta
core   +1 more source

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

Advanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source