Gray code: Difference between revisions

Revision as of 01:06, 4 August 2025

Revision as of 01:28, 6 August 2025

Line 1,212:

<ref name="Savage_1997">{{cite journal |author-first=Carla Diane |author-last=Savage |author-link=Carla Diane Savage |title=Long cycles in the middle two levels of the Boolean lattice |journal=[[Ars Combinatoria (journal)|Ars Combinatoria]] |issn=0381-7032 |volume=35 |issue=A |date=1997-01-16 |___location=North Carolina State University, Raleigh, North Carolina, USA |s2cid=15975960 |citeseerx=10.1.1.39.2249 |pages=97–108 |url=http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=DACA73A3D791549CE05443B7948527EC?doi=10.1.1.39.2249&rep=rep1&type=pdf |access-date=2020-05-13 |url-status=live |archive-url=https://web.archive.org/web/20200513191647/http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=DACA73A3D791549CE05443B7948527EC?doi=10.1.1.39.2249&rep=rep1&type=pdf |archive-date=2020-05-13}} (15 pages)</ref>

<ref name="Phillips_1998">{{cite web |title=Altitude – MODEC ASCII |author-first=Darryl |author-last=Phillips |date=2012-07-26 |orig-date=1998 |publisher=AirSport Avionics |url=http://www.airsport-corp.com/modecascii.txt |url-status=usurped |archive-url=https://web.archive.org/web/20120726003224/http://www.airsport-corp.com/modecascii.txt |archive-date=2012-07-26}}</ref>

<ref name="Stewart_2010">{{cite web |title=Aviation Gray Code: Gillham Code Explained |date=2010-12-03 |author-first=K. |author-last=Stewart |publisher=Custom Computer Services (CCS) |url=httphttps://www.ccsinfo.com/forum/viewtopic.php?p=140960#140960 |access-date=2018-01-14 |url-status=live |archive-url=https://web.archive.org/web/20180116184525/http://www.ccsinfo.com/forum/viewtopic.php?p=140960 |archive-date=2018-01-16}}</ref>

<ref name="Leslie-Russell_1964">{{cite book |title=A cyclic progressive decimal code for simple translation to decimal and analogue outputs |author-first1=William "Bill" H. P. |author-last1=Leslie |author-first2=A. |author-last2=Russell |publisher=[[National Engineering Laboratory]] |___location=East Kilbride, Glasgow, UK |date=1964 |type=Report |id=NEL Report 129}} (17 pages)</ref>

<ref name="Russell_1964">{{cite journal |title=Some Binary Codes and a Novel Five-Channel Code |author-first=A. |author-last=Russell |date=August 1964 |journal=Control (Systems, Instrumentation, Data Processing, Automation, Management, incorporating Automation Progress)<!-- "Control" (London) is a predecessor of "Control and Instrumentation" (C&I), ISSN 0010-8022, formed in April 1969 by merger with "Measurement and Instrument Review" (M&I). --> |volume=8 |number=74 |series=Special Features |publisher=Morgan-Grampain (Publishers) Limited |publication-place=London, UK |pages=399–404 |url=https://books.google.com/books?id=jf4eAAAAMAAJ |access-date=2020-06-22}} (6 pages)</ref>

Line 1,233:

<ref name="Goodall_1951">{{cite journal |author-first=William M. |author-last=Goodall |title=Television by Pulse Code Modulation |journal=[[Bell System Technical Journal]] |volume=30 |issue=1 |pages=33–49 |date=January 1951 |doi=10.1002/j.1538-7305.1951.tb01365.x}} (NB. Presented orally before the I.R.E. National Convention, New York City, March 1949.)</ref>

<ref name="Bhat-Savage_1996">{{cite journal |author-first1=Girish S. |author-last1=Bhat |author-first2=Carla Diane |author-last2=Savage |author-link2=Carla Diane Savage |title=Balanced Gray Codes |journal=[[Electronic Journal of Combinatorics]] |date=1996 |volume=3 |url=https://www.combinatorics.org/ojs/index.php/eljc/article/view/v3i1r25/ |issue=1 |doi=10.37236/1249 |doi-access=free}}</ref>

<ref name="Donohue_2003">{{cite web |author-first=Ryan |author-last=Donohue |title=Synchronization in Digital Logic Circuits |date=2003 |url=httphttps://www.stanford.edu/class/ee183/handouts_spr2003/synchronization_pres.pdf |access-date=2018-01-15 |url-status=live |archive-url=https://web.archive.org/web/20180115012747/https://web.stanford.edu/class/ee183/handouts_spr2003/synchronization_pres.pdf |archive-date=2018-01-15}}</ref>

<ref name="Mehta-Owens-Irwin_1996">{{cite book |author-last1=Mehta |author-first1=Huzefa |author-last2=Owens |author-first2=Robert Michael |author-last3=Irwin |author-first3=Mary Jane "Janie" |chapter=Some issues in gray code addressing |title=Proceedings of the Sixth Great Lakes Symposium on VLSI |date=1996-03-22 |issn=1066-1395 |doi=10.1109/GLSV.1996.497616 |publisher=[[IEEE Computer Society]] |isbn=978-0-8186-7502-7 |pages=178–181|s2cid=52837310 }}</ref>

<ref name="Su-Tsui-Despain_1994">{{cite report |title=Low Power Architecture Design and Compilation Techniques for High-Performance Processors |author-first1=Ching-Long |author-last1=Su |author-first2=Chi-Ying |author-last2=Tsui |author-first3=Alvin M. |author-last3=Despain |date=1994 |publisher=Advanced Computer Architecture Laboratory |id=ACAL-TR-94-01 |url=http://www.scarpaz.com/2100-papers/Power%20Estimation/su94-low%20power%20architecture%20and%20compilation.pdf |access-date=2020-12-17 |url-status=live |archive-url=https://web.archive.org/web/20200726170626/http://www.scarpaz.com/2100-papers/Power%20Estimation/su94-low%20power%20architecture%20and%20compilation.pdf |archive-date=2020-07-26}}</ref>

<ref name="Guo-Parameswaran_2010">{{cite journal |author-first1=Hui |author-last1=Guo |author-first2=Sri |author-last2=Parameswaran |doi=10.1016/j.sysarc.2010.03.003 |volume=56 |issue=4–6 |date=April–June 2010 |title=Shifted Gray encoding to reduce instruction memory address bus switching for low-power embedded systems |journal=Journal of Systems Architecture |pages=180–190}}</ref>

<ref name="Dietz_2002">{{cite web |author-first=Henry Gordon "Hank" |author-last=Dietz |title=The Aggregate Magic Algorithms: Gray Code Conversion |work=The Aggregate |publisher=Electrical and Computer Engineering Department, College of Engineering, [[University of Kentucky]] |date=2002 |url=httphttps://aggregate.org/MAGIC/#Gray%20Code%20Conversion |access-date=2020-12-16 |url-status=live |archive-url=https://web.archive.org/web/20201216122620/http://aggregate.org/MAGIC/#Gray%2520Code%2520Conversion |archive-date=2020-12-16}}</ref>

<ref name="Guan_1998">{{cite journal |title=Generalized Gray Codes with Applications |author-last=Guan |author-first=Dah-Jyh |journal=Proceedings of the National Scientific Council, Republic of China, Part A |volume=22 |date=1998 |pages=841–848 |citeseerx=10.1.1.119.1344}}</ref>

<ref name="Suparta_2005">{{cite journal |author-first=I. Nengah |author-last=Suparta |title=A simple proof for the existence of exponentially balanced Gray codes |journal=[[Electronic Journal of Combinatorics]] |date=2005 |volume=12 |doi-access=free |doi=10.37236/1986}}</ref>

Line 1,243:

<ref name="Strackx-Piessens_2016">{{cite journal |author-first1=Raoul |author-last1=Strackx |author-first2=Frank |author-last2=Piessens |title=Ariadne: A Minimal Approach to State Continuity |journal=Usenix Security |date=2016 |volume=25 |url=https://distrinet.cs.kuleuven.be/software/sce/ariadne.html}}</ref>

<ref name="Savage-Winkler_1995">{{cite journal |author-first1=Carla Diane |author-last1=Savage |author-link1=Carla Diane Savage |author-first2=Peter |author-last2=Winkler |author-link2=Peter Winkler |title=Monotone Gray codes and the middle levels problem |journal=[[Journal of Combinatorial Theory]] | series=Series A |date=1995 |volume=70 |issn=0097-3165 |pages=230–248 |issue=2 |doi=10.1016/0097-3165(95)90091-8|doi-access=free}}</ref>

<ref name="Goddyn_1999">{{cite web |title=MATH 343 Applied Discrete Math Supplementary Materials |author-last=Goddyn |author-first=Luis |date=1999 |publisher=Department of Mathematics, [[Simon Fraser University]] |url=httphttps://www.math.sfu.ca/~goddyn/Courses/343/supMaterials.pdf |archive-url=https://web.archive.org/web/20150217160033/http://people.math.sfu.ca/~goddyn/Courses/343/supMaterials.pdf |archive-date=2015-02-17}}</ref>

<ref name="Sawada-Wong_2007">{{cite journal |author-first1=Joseph "Joe" |author-last1=Sawada |author-first2=Dennis Chi-Him |author-last2=Wong |title=A Fast Algorithm to generate Beckett–Gray codes |journal=Electronic Notes in Discrete Mathematics |volume=29 |pages=571–577 |date=2007 |doi=10.1016/j.endm.2007.07.091}}</ref>

<ref name="Spedding_1994_1">{{cite patent |inventor-last=Spedding |inventor-first=Norman Bruce<!-- Industrial Research Limited --> |pubdate=1994-10-28 |title=A position encoder |country=NZ |number=264738}}{{failed verification|date=July 2015}}</ref>

Line 1,252:

<ref name="Sillke_1997">{{cite web |author-first=Torsten |author-last=Sillke |date=1997 |orig-date=1993-03-01 |title=Gray-Codes with few tracks (a question of Marco Brandestini) |url=http://www.mathematik.uni-bielefeld.de/~sillke/PROBLEMS/gray |access-date=2017-10-29 |url-status=live |archive-url=https://web.archive.org/web/20171029202303/https://www.math.uni-bielefeld.de/~sillke/PROBLEMS/gray |archive-date=2017-10-29}}</ref>

<ref name="Etzion-Paterson_1996">{{cite journal |title=Near Optimal Single-Track Gray Codes |author-first1=Tuvi |author-last1=Etzion |author-first2=Kenneth G. |author-last2=Paterson |journal=[[IEEE Transactions on Information Theory]] |volume=IT-42 |issue=3 |pages=779–789 |date=May 1996 |doi=10.1109/18.490544 |citeseerx=10.1.1.14.1527 |url=http://etzion.net.technion.ac.il/files/2016/02/P36.pdf |access-date=2018-04-08 |url-status=live |archive-url=https://web.archive.org/web/20161030214251/http://etzion.net.technion.ac.il/files/2016/02/P36.pdf |archive-date=2016-10-30}}</ref>

<ref name="Ruskey_2005">{{cite journal |title=A Survey of Venn Diagrams: Symmetric Diagrams |url=httphttps://www.combinatorics.org/Surveys/ds5/VennSymmEJC.html |journal=[[Electronic Journal of Combinatorics]] |date=2005-06-18 |author-first1=Frank |author-last1=Ruskey |author-link1=Frank Ruskey |author-first2=Mark |author-last2=Weston |doi=10.37236/26 |doi-access=free |department=Dynamic Surveys}}</ref>

<ref name="Alciatore-Histand_1999">{{cite book |author-last1=Alciatore |author-first1=David G. |author-first2=Michael B. |author-last2=Histand |title=Mechatronics |date=1999 |publisher=[[McGraw–Hill Education]] – Europe |isbn=978-0-07-131444-2 |url=httphttps://mechatronics.colostate.edu/}}</ref>

<ref name="Krishna_2008">{{cite web |author=Krishna |title=Gray code for QAM |date=2008-05-11 |url=httphttps://www.dsprelated.com/showthread/comp.dsp/96917-1.php |access-date=2017-10-29 |url-status=live |archive-url=https://web.archive.org/web/20171029192539/https://www.dsprelated.com/showthread/comp.dsp/96917-1.php |archive-date=2017-10-29}}</ref>

<ref name="Greferath_2009">{{cite book |editor-first1=Massimiliano |editor-last1=Sala |editor-first2=Teo |editor-last2=Mora |editor-first3=Ludovic |editor-last3=Perret |editor-first4=Shojiro |editor-last4=Sakata |editor-first5=Carlo |editor-last5=Traverso |title=Gröbner Bases, Coding, and Cryptography |url=https://archive.org/details/grbnerbasescodin00sala |url-access=limited |date=2009 |publisher=[[Springer Science & Business Media]] |isbn=978-3-540-93806-4 |chapter=An Introduction to Ring-Linear Coding Theory |author-first=Marcus |author-last=Greferath |page=[https://archive.org/details/grbnerbasescodin00sala/page/n226 220]}}</ref>

<ref name="Hazewinkel-Sole_2016">{{cite book |chapter=Kerdock and Preparata codes |author-first=Patrick |author-last=Solé |title=[[Encyclopedia of Mathematics]] |editor-first=Michiel |editor-last=Hazewinkel |editor-link=Michiel Hazewinkel |publisher=[[Springer Science+Business Media]] |date=2016 |isbn=978-1-4020-0609-8 |chapter-url=https://www.encyclopediaofmath.org/index.php/Kerdock_and_Preparata_codes |url-status=live |archive-url=https://web.archive.org/web/20171029191032/https://www.encyclopediaofmath.org/index.php/Kerdock_and_Preparata_codes |archive-date=2017-10-29}}</ref>