Mathematical investigation of oneway transform matrix options.
Abstract
Oneway transforms have been used in weapon systems processors since the mid to late1970s in order to help recognize insertion of correct prearm information while maintaining abnormalenvironment safety. LevelOne, LevelTwo, and LevelThree transforms have been designed. The LevelOne and LevelTwo transforms have been implemented in weapon systems, and both of these transforms are equivalent to matrix multiplication applied to the inserted information. The LevelTwo transform, utilizing a 6 x 6 matrix, provided the basis for the ''System 2'' interface definition for UniqueSignal digital communication between aircraft and attached weapons. The investigation described in this report was carried out to find out if there were other size matrices that would be equivalent to the 6 x 6 LevelTwo matrix. One reason for the investigation was to find out whether or not other dimensions were possible, and if so, to derive implementation options. Another important reason was to more fully explore the potential for inadvertent inversion. The results were that additional implementation methods were discovered, but no inversion weaknesses were revealed.
 Authors:
 Publication Date:
 Research Org.:
 Sandia National Laboratories
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 877142
 Report Number(s):
 SAND20060193
TRN: US0601294
 DOE Contract Number:
 AC0494AL85000
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE; AIRCRAFT; COMMUNICATIONS; DIMENSIONS; IMPLEMENTATION; MATRICES; SAFETY; WEAPONS; NUCLEAR WEAPONS; Nuclear weapons; United StatesSafety measures.; Matrices.
Citation Formats
Cooper, James Arlin. Mathematical investigation of oneway transform matrix options.. United States: N. p., 2006.
Web. doi:10.2172/877142.
Cooper, James Arlin. Mathematical investigation of oneway transform matrix options.. United States. doi:10.2172/877142.
Cooper, James Arlin. Sun .
"Mathematical investigation of oneway transform matrix options.". United States.
doi:10.2172/877142. https://www.osti.gov/servlets/purl/877142.
@article{osti_877142,
title = {Mathematical investigation of oneway transform matrix options.},
author = {Cooper, James Arlin},
abstractNote = {Oneway transforms have been used in weapon systems processors since the mid to late1970s in order to help recognize insertion of correct prearm information while maintaining abnormalenvironment safety. LevelOne, LevelTwo, and LevelThree transforms have been designed. The LevelOne and LevelTwo transforms have been implemented in weapon systems, and both of these transforms are equivalent to matrix multiplication applied to the inserted information. The LevelTwo transform, utilizing a 6 x 6 matrix, provided the basis for the ''System 2'' interface definition for UniqueSignal digital communication between aircraft and attached weapons. The investigation described in this report was carried out to find out if there were other size matrices that would be equivalent to the 6 x 6 LevelTwo matrix. One reason for the investigation was to find out whether or not other dimensions were possible, and if so, to derive implementation options. Another important reason was to more fully explore the potential for inadvertent inversion. The results were that additional implementation methods were discovered, but no inversion weaknesses were revealed.},
doi = {10.2172/877142},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

This is the fourth volume of a sixvolume reference set designed to provide the information required by electric utility readers to contend with several pending NO/sub x/related regulatory changes. This volume describes major classes of mathematical models that might be used when assessing the NO/sub 2/related air quality and visibility impacts of a power plant. The regulatory needs for models are first discussed and classes of relevant models are identified for the various regulatory issues. Certain general characteristics, such as model formulation, spatial scale, and source configuration, strongly influence the modeling process. The various model classes are examined for thesemore »

Scope Complexity Options Risks Excursions (SCORE) Factor Mathematical Description.
The purpose of the Scope, Complexity, Options, Risks, Excursions (SCORE) model is to estimate the relative complexity of design variants of future warhead options, resulting in scores. SCORE factors extend this capability by providing estimates of complexity relative to a base system (i.e., all design options are normalized to one weapon system). First, a clearly defined set of scope elements for a warhead option is established. The complexity of each scope element is estimated by Subject Matter Experts (SMEs), including a level of uncertainty, relative to a specific reference system. When determining factors, complexity estimates for a scope element canmore » 
Scope Complexity Options Risks Excursions (SCORE) Version 3.0 Mathematical Description.
The purpose of the Scope, Complexity, Options, Risks, Excursions (SCORE) model is to estimate the relative complexity of design variants of future warhead options. The results of this model allow those considering these options to understand the complexity tradeoffs between proposed warhead options. The core idea of SCORE is to divide a warhead option into a well defined set of scope elements and then estimate the complexity of each scope element against a well understood reference system. The uncertainty associated with estimates can also be captured. A weighted summation of the relative complexity of each scope element is used tomore »