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Displaying 1 - 25 of 388

A Study of Error Floor Behavior in QC-MDPC Codes

August 17, 2022
Author(s)
Sarah Arpin, Tyler Billingsley, Daniel Hast, Jun Bo Lao, Ray Perlner, Angela Robinson
We present experimental findings on the decoding failure rate (DFR) of BIKE, a third-round candidate in the NIST Post-Quantum Standardization process, at the 20-bit security level. We select parameters according to BIKE design principles and conduct a

Recommendation for Key Derivation Using Pseudorandom Functions

August 17, 2022
Author(s)
Lily Chen
This Recommendation specifies techniques for the derivation of additional keying material from a secret key—either established through a key-establishment scheme or shared through some other manner—using pseudorandom functions: HMAC, CMAC, and KMAC.

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

July 5, 2022
Author(s)
Gorjan Alagic, David A. Cooper, Quynh Dang, Thinh Dang, John M. Kelsey, Jacob Lichtinger, Yi-Kai Liu, Carl A. Miller, Dustin Moody, Rene Peralta, Ray Perlner, Angela Robinson, Daniel Smith-Tone, Daniel Apon
The National Institute of Standards and Technology is in the process of selecting public-key cryptographic algorithms through a public, competition-like process. The new public-key cryptography standards will specify additional digital signature, public

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

May 23, 2022
Author(s)
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

Grassmannian Shape Representations for Aerodynamic Applications

February 28, 2022
Author(s)
Olga Doronina, Zachary J. Grey, Andrew Glaws
Airfoil shape design is a classical problem in engineering and manufacturing. Our motivation is to combine principled physics-based considerations for the shape design problem with modern computational techniques informed by a data-driven approach

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

October 12, 2021
Author(s)
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
Author(s)
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
Author(s)
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
Author(s)
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
Author(s)
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

ON THE FAMILY OF ELLIPTIC CURVES X + 1/X + Y + 1/Y + t = 0

March 23, 2021
Author(s)
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
Author(s)
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
Author(s)
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
Author(s)
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
Author(s)
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
Displaying 1 - 25 of 388