Construction and decoding of generalized skew-evaluation codes

2015 ◽  
Author(s):  
Siyu Liu ◽  
Felice Manganiello ◽  
Frank R. Kschischang
Keyword(s):  
Evaluation Codes

scholarly journals Bounding the Number of Common Zeros of Multivariate Polynomials and Their Consecutive Derivatives

2018 ◽  
Vol 28 (2) ◽  
pp. 253-279
Author(s):  
O. GEIL ◽  
U. MARTÍNEZ-PEÑAS
Keyword(s):  
Upper Bound ◽  
Existence And Uniqueness ◽  
Combinatorial Nullstellensatz ◽  
Finite Collection ◽  
Multivariate Polynomials ◽  
Grobner Basis ◽  
Evaluation Codes ◽  
Number Of Zeros ◽  
Interpolating Polynomials ◽  
Common Zeros

We upper-bound the number of common zeros over a finite grid of multivariate polynomials and an arbitrary finite collection of their consecutive Hasse derivatives (in a coordinate-wise sense). To that end, we make use of the tool from Gröbner basis theory known as footprint. Then we establish and prove extensions in this context of a family of well-known results in algebra and combinatorics. These include Alon's combinatorial Nullstellensatz [1], existence and uniqueness of Hermite interpolating polynomials over a grid, estimations of the parameters of evaluation codes with consecutive derivatives [20], and bounds on the number of zeros of a polynomial by DeMillo and Lipton [8], Schwartz [25], Zippel [26, 27] and Alon and Füredi [2]. As an alternative, we also extend the Schwartz-Zippel bound to weighted multiplicities and discuss its connection to our extension of the footprint bound.

scholarly journals Description of a Computer Program to Assess Cancer Antigen 15.3, Carcinoembryonic Antigen, and Tissue Polypeptide Antigen Information during Monitoring of Metastatic Breast Cancer

2000 ◽  
Vol 46 (8) ◽  
pp. 1106-1113 ◽  
Author(s):  
György Sölétormos ◽  
Vibeke Schiøler
Keyword(s):  
Breast Cancer ◽  
Computer Program ◽  
Cancer Patients ◽  
Metastatic Breast ◽  
Biological Variation ◽  
Clinical Activity ◽  
Assessment Procedure ◽  
Breast Cancer Patients ◽  
Evaluation Codes ◽  
Treatment Type

Abstract It is time-consuming to process and compare the clinical and marker information registered during monitoring of breast cancer patients. To facilitate the assessment, we developed a computer program for interpreting consecutive measurements. The intraindividual biological variation, the analytical precision profile, the cutoff limit, and the detection limit for each marker are entered and stored in the program. The assessment procedure for marker signals considers the analytical and biological variation of the applied markers. The software package contains a database that can store the interpretation of the measurements as evaluation codes together with patient demographics, information about treatment type, dates for treatment periods, control periods, and evaluation codes for clinical activity of disease. The consecutive concentrations for a patient are imported temporarily into the program from outside sources and presented graphically. Marker concentrations to be compared are selected with the computer mouse and the significance of the difference is calculated by the program. The program has an option for calculating the lead time of marker signals vs clinical information. The program facilitates the monitoring of individual breast cancer patients with tumor marker measurements. It may also be implemented in trials investigating the utility of potential new markers in breast cancer as well as in other malignancies.

scholarly journals Evaluation codes defined by finite families of plane valuations at infinity

2012 ◽  
Vol 70 (1-2) ◽  
pp. 189-213 ◽  
Author(s):  
C. Galindo ◽  
F. Monserrat
Keyword(s):  
Evaluation Codes

scholarly journals Parameterized Codes over Cycles

2013 ◽  
Vol 21 (3) ◽  
pp. 241-256 ◽  
Author(s):  
Manuel González Sarabia ◽  
Joel Nava Lara ◽  
Carlos Rentería Marquez ◽  
Eliseo Sarmíento Rosales
Keyword(s):  
Upper Bound ◽  
Minimum Distance ◽  
Upper Bounds ◽  
Lower And Upper Bounds ◽  
Evaluation Codes ◽  
Singleton Bound ◽  
Odd Cycles

AbstractIn this paper we will compute the main parameters of the parameterized codes arising from cycles. In the case of odd cycles the corresponding codes are the evaluation codes associated to the projective torus and the results are well known. In the case of even cycles we will compute the length and the dimension of the corresponding codes and also we will find lower and upper bounds for the minimum distance of this kind of codes. In many cases our upper bound is sharper than the Singleton bound.

Bottom Line: Cracking the New Evaluation Codes

ASHA Leader ◽  
2014 ◽  
Vol 19 (3) ◽  
pp. 30-31
Author(s):  
Neela Swanson
Keyword(s):  
Bottom Line ◽  
Evaluation Codes

Evolution of Bridge Live Load Models and Truck Weight Limits:The Case of Manitoba, Canada

2021 ◽  
Author(s):  
Amanda Pushka ◽  
Jonathan D Regehr ◽  
Aftab Mufti ◽  
Basheer Hasan Algohi ◽  
Graziano Fiorillo
Keyword(s):  
Operational Performance ◽  
Potential Range ◽  
Live Load ◽  
Design Codes ◽  
Bridge Design ◽  
Evaluation Codes ◽  
Load Models ◽  
Truck Size And Weight ◽  
Truck Weight ◽  
Regulation Changes

Truck size and weight regulations have been a key instrument used to improve trucking productivity, safety, and operational performance in Canada. In response to these changes, bridge design codes undergo modifications to envelop the potential range of trucks in operation. A five-decade timeline is presented: (1) to document how bridge codes and their live load models have evolved, with a focus on the Manitoba-specific HSS-25 truck, and (2) to discuss how responsive bridge design codes have historically been to changes in truck size and weight regulations. While at times bridge codes are released in conjunction with expected regulation changes, there is often delay in the issuance of revised bridge design and evaluation codes. Assessments of the current truck fleet, which now includes long combination vehicles (LCVs), may be a consideration for future bridge design live load models.

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