منابع مشابه
Skeleton simplicial evaluation codes
For a subspace arrangement over a finite field we study the evaluation code defined on the arrangements set of points. The length of this code is given by the subspace arrangements characteristic polynomial. For coordinate subspace arrangements the dimension is bounded below by the face vector of the corresponding simplicial complex. The minimum distance is determined for coordinate subspace ar...
متن کاملEvaluation Algorithm for a Decomposed Simplicial Piecewise- Linear Formulation
In this work an algorithm for the evaluation of N-dimensional piecewise-linear (PWL) functions is presented. The type of PWL representation which is considered is the denominated simplicial representation that is defined in a N-dimensional domain partitioned by hyperplanes and divided into simplices. The algorithm performs a local function computation into the specific simplex where the evaluat...
متن کاملOrder Functions and Evaluation Codes
Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geometry codes as well as the generalized Reed-Muller codes, and the parameters are determined without using heavy machinery from algebraic geometry.
متن کاملSimplicial Energy and Simplicial Harmonic Maps
We introduce a combinatorial energy for maps of triangulated surfaces with simplicial metrics and analyze the existence and uniqueness properties of the corresponding harmonic maps. We show that some important applications of smooth harmonic maps can be obtained in this setting.
متن کاملEvaluation codes and plane valuations
We apply tools coming from singularity theory, as Hamburger-Noether expansions, and from valuation theory, as generating sequences, to explicitly describe order functions given by valuations of 2-dimensional function fields. We show that these order functions are simple when their ordered domains are isomorphic to the value semigroup algebra of the corresponding valuation. Otherwise, we provide...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2013
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-012-9793-0