Results 11 to 20 of about 2,108,997 (280)
Universal Gr\"obner Bases for Binary Linear Codes [PDF]
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
Numerical simulation of complicated grains with 3D burnback and Quasi-One-Dimensional flow field of solid rocket motors [PDF]
In this research, the 3D grain burnback with quasi-one-dimensional internal ballistic in a solid rocket motor is simulated using the Level set theory and the utilization of Sections method, while achieving high accuracy in the simulation of green's post ...
mohammad shahbazi +2 more
doaj +1 more source
Toward the Unification of Physics and Number Theory [PDF]
This paper introduces the notion of simplex-integers and shows how, in contrast to digital numbers, they are the most powerful numerical symbols that implicitly express the information of an integer and its set theoretic substructure.
Klee Irwin
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Quantum error correction and holographic information from bilocal holography
Bilocal holography is a constructive approach to the higher spin theory holographically dual to O(N ) vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the dual gravitational theory.
Robert de Mello Koch +3 more
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From signals to music: a bottom-up approach to the structure of neuronal activity
IntroductionThe search for the “neural code” has been a fundamental quest in neuroscience, concerned with the way neurons and neuronal systems process and transmit information.
Gabriel D. Noel +4 more
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A Construction of Quantum LDPC Codes from Cayley Graphs [PDF]
We study a construction of Quantum LDPC codes proposed by MacKay, Mitchison and Shokrollahi. It is based on the Cayley graph of Fn together with a set of generators regarded as the columns of the parity-check matrix of a classical code. We give a general
Couvreur, Alain +2 more
core +4 more sources
The internal description of a causal set: What the universe looks like from the inside [PDF]
We describe an algebraic way to code the causal information of a discrete spacetime. The causal set C is transformed to a description in terms of the causal pasts of the events in C.
Markopoulou, Fotini
core +2 more sources
Asymptotic bounds for spherical codes [PDF]
The set of all error-correcting codes C over a fixed finite alphabet F of cardinality q determines the set of code points in the unit square with coordinates (R(C), delta (C)):= (relative transmission rate, relative minimal distance). The central problem
Manin, Yuri I., Marcolli, Matilde
core +3 more sources
Use of Set Shaping theory in the development of locally testable codes [PDF]
Solomon Kozlov
+5 more sources
The Compared Costs of Domination Location-Domination and Identification
Let G = (V, E) be a finite graph and r ≥ 1 be an integer. For v ∈ V, let Br(v) = {x ∈ V : d(v, x) ≤ r} be the ball of radius r centered at v. A set C ⊆ V is an r-dominating code if for all v ∈ V, we have Br(v) ∩ C ≠ ∅; it is an r-locating-dominating code
Hudry Olivier, Lobstein Antoine
doaj +1 more source

