Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Search Publications

NIST Authors in Bold

Displaying 1 - 25 of 380

Pairs of Heron and right triangles with a common area and a common perimeter

May 23, 2022
Abhishek Juyal, Dustin Moody
A Heron triangle is one in which the side lengths and area are integers. An integral right triangle is an example of a Heron triangle. In this paper, we show that there are infinitely many pairs of integral right triangles and Heron triangles with a common

Theory of Curvature and Grooving Effects in DIGM - II: the Mathematics

October 12, 2021
O Penrose, John W. Cahn
We examine and solve the mathematical problems that arise when diffusion induced grain boundary motion is formulated as a free boundary problem, i.e. as a system of partial differential equations on a moving curved interface with surface grooving as a

On Computing Elastic Shape Distances between Curves in d-dimensional Space

June 21, 2021
Javier Bernal, James F. Lawrence, Gunay Dogan, Robert Hagwood
The computation of the elastic registration of two simple curves in higher dimensions and therefore of the elastic shape distance between them has been investigated by Srivastava et al. Assuming the first curve has one or more starting points, and the

Vectorizing Green's Identities

May 5, 2021
Alex Yuffa
Green's theorem and Green's identities are well-known and their uses span almost every branch of science and mathematics. In this paper, we derive a vector analogue of Green's three scalar identities and consider some of their uses. We also offer a number

Recovering the Key from the Internal State of Grain-128AEAD

April 3, 2021
Donghoon Chang, Meltem Sonmez Turan
Grain-128AEAD is one of the second-round candidates of the NIST lightweight cryptography standardization process. There is an existing body of third-party analysis on the earlier versions of the Grain family that provide insights on the security of Grain

Examining Recent HR Data for Gender Bias Among Federal Employees at NIST

March 26, 2021
Jasmine Evans, Amanda Koepke, Steven Lund, Mary Theofanos
This report is part of a multi-phase mixed methods project that is designed to provide an in-depth look at the population of National Institute of Standards and Technology (NIST) federal employees to identify factors, attitudes, and processes that might


March 23, 2021
Dustin Moody, Abhishek Juyal
We study various properties of the family of elliptic curves x+ 1/x+y+ 1/y+t = 0, which is isomorphic to the Weierstrass curve E_t: Y^2=X(X^2+(t^2/4-2)X+1). This equation arises from the study of the Mahler measure of polynomials. We show that the rank of

National Institute of Standards and Technology Environmental Scan 2020

February 9, 2021
Heather Evans, Kristen K. Greene, William M. Healy, Elizabeth Hoffman, Kate Rimmer, Anna V. Sberegaeva, Neil M. Zimmerman
The 2020 National Institute of Standards and Technology Environmental Scan provides an analysis of key external factors that could impact NIST and the fulfillment of its mission in coming years. The analyses were conducted through four separate lenses

Twisted Hessian Isogenies

February 1, 2021
Dustin Moody, Thinh H. Dang, Fouazou Lontouo Perez, Emmanuel Fouotsa
Elliptic curves are typically defined by Weierstrass equations. Given a kernel, the well-known V Velu's formula shows how to explicitly write down an isogeny between Weierstrass curves. However, it is not clear how to do the same on other forms of elliptic

An Initial Look at Federal Offices of Research and Technology Applications

November 19, 2020
Nicole K. Gingrich, Michael J. Hall, Isaac Patterson
In Science—the Endless Frontier, Vannevar Bush wrote that reaping the potential benefits of science conducted at federal laboratories requires the discoveries made in the labs be transferred to society. In federal laboratories, Offices of Research and

Comparing Instruments

September 30, 2020
James H. Yen, Dennis D. Leber, Leticia S. Pibida
This document details methods to compare instrument performance. Comparison methods for instruments outputting binary (0-1) responses as well as for instruments outputting continuous numeric responses are shown, first for two instruments and then for

Diffusion-limited reactions in nanoscale electronics

September 22, 2020
Ryan Evans, Arvind Balijepalli, Anthony J. Kearsley
To quantify interactions between drug molecules and target receptors, a novel nanoscale electronics instrument is under development. The instrument consists of two regions: a biological region, and an electronics region. The biological region consists of a

NIST Interactions: Fiscal Year 2015 through Fiscal Year 2018

September 16, 2020
Nicole K. Gingrich, Isaac Patterson, Jimmy Nazario-Negron, Michael J. Hall
This study analyzes data from fiscal years 2015 through 2018 of eighteen interaction types in which NIST participates annually. To describe the volume of direct relationships NIST has with the U.S. economy, it calculates the average number of interactions

Measuring Microfluidic Flow Rates: Monotonicity, Convexity and Uncertainty

August 20, 2020
Paul Patrone, Qing Hai Li, Gregory A. Cooksey, Anthony J. Kearsley
A class of non-linear integro-differential equations characterizing microfluidic measurements is considered. Under reasonable conditions, these non-linear integro-differential equations admit solutions that are convex functions of an interesting flow-rate

Status Report on the Second Round of the NIST Post-Quantum Cryptography Standardization Process

July 22, 2020
Dustin Moody, Gorjan Alagic, Daniel C. Apon, David A. Cooper, Quynh H. Dang, John M. Kelsey, Yi-Kai Liu, Carl A. Miller, Rene C. Peralta, Ray A. Perlner, Angela Y. Robinson, Daniel C. Smith-Tone, Jacob Alperin-Sheriff
The National Institute of Standards and Technology is in the process of selecting one or more public-key cryptographic algorithms through a public, competition-like process. The new public-key cryptography standards will specify one or more additional

Microwave radiometer instability due to infrequent calibration

April 16, 2020
Kevin J. Coakley, Jolene D. Splett, Dave K. Walker, Mustafa Aksoy, Paul E. Racette
We directly quantify the effect of infrequent calibration on the stability of microwave radiometer temperature measurements (where a power measurement for the unknown source is acquired at a fixed time but calibration data are acquired at variable earlier
Displaying 1 - 25 of 380