From da7960cc1396bf70cea2c8189abff3128d7c468d Mon Sep 17 00:00:00 2001 From: Gabriel Lindeblad <78178279+Glindeb@users.noreply.github.com> Date: Wed, 15 Feb 2023 13:26:11 +0100 Subject: [PATCH 1/4] =?UTF-8?q?skrivit=20p=C3=A5=20disskission?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Documentation/Rapport/Diskussion.tex | 66 ++++++++++++++++++-------- Documentation/Rapport/Main.acn | 7 +++ Documentation/Rapport/Main.acr | 2 +- Documentation/Rapport/Main.glg | 4 +- Documentation/Rapport/Main.glo | 6 ++- Documentation/Rapport/Main.ist | 2 +- Documentation/Rapport/Main.pdf | Bin 23017774 -> 23022755 bytes Documentation/Rapport/Main.synctex.gz | Bin 1081266 -> 1094129 bytes 8 files changed, 63 insertions(+), 24 deletions(-) diff --git a/Documentation/Rapport/Diskussion.tex b/Documentation/Rapport/Diskussion.tex index 6112db1..53ad6ca 100644 --- a/Documentation/Rapport/Diskussion.tex +++ b/Documentation/Rapport/Diskussion.tex @@ -1,39 +1,67 @@ \mychapter{Diskussion} % Diskussion av resultat, presentera och tolka resultatet samt för ett nyanserat resonemang om vad resultatet betyder. Diskutera även eventuella brister i experimentet och hur dessa kan förbättras. \label{chap:discussion} -% Tolka resultatet från nyckellängds undersökningen -Utifrån resultatet från undersökningen kan man då se hur tiden det tar att kryptera en fil på 1MB ökar när man använder längre nycklar så som 192-\gls{bit} 256-\gls{bit} nycklar -i förhållande till en 128-\gls{bit} nyckel. Något som bland annat visar sig när man tittar på den procentuella tidskillnaden mellan de olika nyckellängderna. Där man kan se en +% Tolka resultatet från nyckellängds undersökningen (To be rewived) +Utifrån resultatet från undersökningen går det att se hur tiden det tar att kryptera en fil på 1MB ökar när man använder längre nycklar så som 192-\gls{bit} 256-\gls{bit} nycklar +i förhållande till en 128-\gls{bit} nyckel. Något som bland annat visar sig när man tittar på den procentuella tidskillnaden mellan de olika nyckellängderna. Där kan man se en tids skillnad på 18,8\% mellan 128-\gls{bit} \& 192-\gls{bit} nyckeln och 27,8\% mellan 128-\gls{bit} \& 256-\gls{bit} nyckeln. -Anledningen till detta är något som högst troligen beror på att antalet krypteringsrundor som genomförs för det olika nyckellängderna ökar när nyckeln blir längre. -Något som då höjer antalet operationer som genomförs för varje 16-\gls{byte} block som krypteras, vilket i sin tur höjer den totala krypterings tiden. -% Tolka resultatet från körläges undersökningen +Anledningen till denna tidökning är något som exempelvis kan bero på antalet rundor som genomförs för varje 16-\gls{byte} block som krypteras, vilket är den huvudsakliga +skillnaden mellan det olika nyckellängderna. Eftersom för en 128-\gls{bit} nyckel så genomförs 10 rundor för varje 16-\gls{byte} block som krypteras, medan för en 192-\gls{bit} +nyckel så genomförs 12 rundor och för en 256-\gls{bit} nyckel så genomförs 14 rundor. Något som då höjer antalet operationer som genomförs för varje 16-\gls{byte} block, vilket +i sin tur då troligen höjer den totala krypterings tiden. + +% Tolka resultatet från körläges undersökningen (To be rewived) Resultatet visar även att skillnaden i krypteringstid mellan olika körlägen är väldigt liten. Mellan \acrshort{ecb} \& \acrshort{cbc} var skillnaden 0,3\% och mellan \acrshort{ecb} \& \acrshort{ofb} var skillnaden 0,4\%. Något som inte riktigt var väntat då det för både \acrshort{cbc} och \acrshort{ofb} -genomförs en ytterligare operation mellan varje 16-\gls{byte} block som krypteras för att länka ihop de olika blocken. Men samtidigt så skulle anledning till att skillnaderna är -så små kunna vara att \gls{xor}-operationen som används för att länka ihop blocken är en operation som är relativt lätt och snabb för en dator att genomföra, samtidigt som -operationen även bara behöver genomföras en gång för varje 16-\gls{byte} block som krypteras. +genomförs en ytterligare operation mellan varje 16-\gls{byte} block som krypteras för att länka ihop de olika blocken. Men samtidigt så är denna extra operation en \gls{xor}-operation +som är relativt lätt och snabb för en dator att genomföra. Något som då innebär att trots att det genomförs en extra operation så är den ändå relativt snabb och därför inte +påverkar krypterings tiden särskilt mycket. -I resultatet av körläges testet kan man dock även se en viss spridning i tiden som det tar att kryptera en fil mellan det olika omgångarna. -Något som visar på en viss osäkerhet då \acrshort{ecb} har en högsta tid som är högre än både den högsta tiden för \acrshort{cbc} och \acrshort{ofb}. Vilket då skulle kunna antyda -att de skillnader som mätts upp mellan medelvärdena kan vara något som är inom felmarginalen för mätningen. Detta innebär då att det inte går att säga med säkerhet att -det finns någon större skillnad i krypterings tiden mellan det olika körlägena utifrån denna undersökning. +I resultatet av körläges testet kan man dock även se en viss spridning i tiden som det tar att kryptera en fil mellan det olika omgångarna. Detta bland annat när man jämför +max och min tiderna för det olika körlägena. Där går det att se hur exempelvis se när man tittar på maxvärdet för \acrshort{ecb} som är 21,0857602999968 s, vilket är högre än +maxvärdet för \acrshort{cbc} som är 20,9346826999972 s och \acrshort{ofb} som är 20,8816630000001 s. En skillnad som då påvisar att det finns en viss osäkerhet i +resultatet och ytterligare bekräftas ifall man tittar på medelvärdes tiderna. +Logiskt sett borde finnas en liten tidsökning i när man till för en extra operation. Detta innebär då att det resultat som undersökningen genererat för +körläges testet troligen inte är särskilt tillförlitligt. -% Tolka resultatet från krypteringsmetod undersökningen +% Tolka resultatet från krypteringsmetod undersökningen (To be rewived) Tittar man sedan istället på hur säkerheten påverkas av det olika körlägena så kan man ganska tydligt se att \acrshort{ecb} är det mest osäkra körläget för större data mängder. -Detta då man som visas i resultatet kan se hur trots kryptering man fortfarande kan se spår av den ursprungliga bilden i informationen som krypterats. Något som inte +Detta då man som visas i resultatet kan se hur trots kryptering fortfarande kan se spår av den ursprungliga bilden i informationen som krypterats. Något som inte går att göra när bilden istället krypteras med hjälp av \acrshort{cbc} eller \acrshort{ofb}. -% Utvärdera metoden (nyanserat resonemang) +% Utvärdera metoden (nyanserat resonemang) (To be rewied) +Metoden som användes för att genomföra undersökningen bär med sig både för och nackdelar. Bland annat så medför metoden en ökad förståelse för hur \acrfull{aes} fungerar +på en låg nivå tack vare det faktum att implementeringen av algoritmen gjordes specifikt för undersökningen. En förståelse som gör det lättare att formulera resonemang och +dra slutsatser om hur \acrshort{aes} fungerar. Vilket är något som skulle gå förlorat ifall man istället använt en befintlig implementation av \acrshort{aes}. Men att implementera +\acrshort{aes} på egenhand innebär också att det finns en risk för att implementeringen av algoritmen inte är helt korrekt och är även en tidskrävande process som kräver +mycket arbete. Något som kan ses som en nackdel som skulle kunna undvikas ifall en befintlig implementation av \acrshort{aes} använts. + +En fördel med metoden när det gäller just nyckellängds testet är att säkerheten med resultatet stärks genom att varje nyckel testas flera gånger, vilket då medför att +potentiell slumpmässiga felkällor som kan påverka resultatet minskas. Men samtidigt så innebär detta att tiden som krävs för att genomföra undersökningen ökar. Något som +då påverkar hur stora filer som går att testa för att kunna genomföra undersökningen inom en rimlig tidsrymd. +Ytterligare fördelar med metoden är att den till stor del är automatiserad, vilket då minskar den mänskliga faktorns påverkan. Samtidigt som det gör det lättare att +repetera undersökningen fler gånger med liten variabilitet, vilket då gör att man får ett mer tillförlitligt resultat. Sedan så är +en annan fördel att det lätt går att jämföra och urskilja skillnader i säkerheten för stora data mängder mellan olika körlägen tack vare att en bild användes som testdata. +Vilket då ger en tydlig visuell indikation på hur säkerheten påverkas av det olika körlägena. +\section{Felkällor} % Variabilitet i klockhastighet, Ogämnheter i implementeringen som resulterar i missvisande tider, osäkerhet host mätmetoden, fel i implementeringen, ???? +Om man ska titta på felkällorna som finns i undersökningen så finns det bland annat som nämnts tidigare en risk för att implementeringen av \acrshort{aes} inte är helt korrekt. Vilket +då skulle kunna påverka resultatets tillförlitlighet. -\section{Felkällor} % Variabilitet i klockhastighet, Ogämnheter i implementeringen som resulterar i missvisande tider, osäkerhet host mätmetoden, fel i implementeringen, +Sedan så skulle en felkälla kunna vara variabilitet i klockhastigheten hos datorn som undersökningen utfördes på. Eftersom ifall +den varierar mellan omgångarna så innebär de att antalet instruktioner som datorns CPU hinner med på en viss tid förändras, vilket då leder till en viss osäkerhet i resultatet. -\section{Förbättringar} % Öka antalet reppetitioner för att minskar risken för fel, använda andra metoder för att mäta tiden, testa olika nycklar för att se hur de påverkar, +\section{Förbättringar} % Öka antalet reppetitioner för att minskar risken för fel, använda andra metoder för att mäta tiden, testa olika nycklar för att se hur de påverkar, Dubbelkolla implementeringen, testa med andra filstorlekar och gämföra om inehållet i filerna har betydlese, Begränsa kolckhastigheten ytterligare, Utföra undersökningen i en mer kontrolerad testmiljö +Möjliga förbättringar som skulle kunna genomföras för att få ett mer tillförlitligt resultat skulle exempelvis kunna vara att öka antalet omgångar som varje nyckel och körläge +testas. Vilket då skulle kunna minska risken för att resultatet blir påverkat av slumpmässiga felkällor så som variationer i klockhastigheten. +Kontrollera implementeringen ytterligare -\section{Slutsats} +Större filstorlekar för att se om man det är samma för olika storlekar +\section{Slutsats} % Besvara frågeställningarna och kanske koppla lite till syftet med undersökningen +Om man nu ska besvara frågeställningen "Hur påverkas tiden de tar att kryptera något mellan de olika nyckel längderna 128-bit, 192-bit och 256-bit nyckel?" så visar resultatet från +undersökningen tydligt hur tiden det tar att kryptera något ökar ganska mycket i takt med att nyckeln blir längre. diff --git a/Documentation/Rapport/Main.acn b/Documentation/Rapport/Main.acn index 15eee0d..2d65701 100644 --- a/Documentation/Rapport/Main.acn +++ b/Documentation/Rapport/Main.acn @@ -164,3 +164,10 @@ \glossaryentry{ECB?\glossentry{ecb}|setentrycounter[]{page}"\glsnumberformat}{35} \glossaryentry{CBC?\glossentry{cbc}|setentrycounter[]{page}"\glsnumberformat}{35} \glossaryentry{OFB?\glossentry{ofb}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{36} diff --git a/Documentation/Rapport/Main.acr b/Documentation/Rapport/Main.acr index 8efb6fd..f8e16d2 100644 --- a/Documentation/Rapport/Main.acr +++ b/Documentation/Rapport/Main.acr @@ -5,7 +5,7 @@ \setentrycounter[]{page}\glsnumberformat{1}\delimN \setentrycounter[]{page}\glsnumberformat{10\delimR 13}\delimN \setentrycounter[]{page}\glsnumberformat{18\delimR 20}\delimN - \setentrycounter[]{page}\glsnumberformat{30\delimR 33}}}% + \setentrycounter[]{page}\glsnumberformat{30\delimR 35}}}% \glossentry{ascii}{\glossaryentrynumbers{\relax \setentrycounter[]{page}\glsnumberformat{4}}}\glsgroupskip \glsgroupheading{C}\relax \glsresetentrylist % diff --git a/Documentation/Rapport/Main.glg b/Documentation/Rapport/Main.glg index fe2969d..041625f 100644 --- a/Documentation/Rapport/Main.glg +++ b/Documentation/Rapport/Main.glg @@ -1,7 +1,7 @@ This is makeindex, version 2.16 [TeX Live 2022] (kpathsea + Thai support). 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ztzC+RS?{Tr{^VNn^<@3L{0SmW`QH9_T!Ze|riDaJo){AEW%d>(P4{E(Ke{z|6+RWj zPQ50+1XEk-dA2@r=8x9=A1_;IXsOSF^9q+g!`8%WCIU%Y;t)EwP|G~3RBZN$QE_B$ zbw}$DZ8dazwCBY=dz2LH|Tq) zDV~Car)njgrSoS!M1?_HHiwmyhF#?8fw~oLxYRZ8*noTCh&0G^_F!{&@%+HT@MrP=2b^=zk8v{PTX0WH|bAIRg5Y&JRtMV zLw1|G?rr~M*x#-VevgEB791Uuuk8{GdL6rBw$Kfw*1X>o&4v%giK&d#WbQ4hQYL(p zcv33l*tw2|5Qn=4Bp!)n zal4bW6|YD<=z%wqR+$t@glt99ZfE1cKB7I?DTVI=m-VAR?femmIz0nLGJy#N3J From f539092afce761a85489830e324dadfabc21f47b Mon Sep 17 00:00:00 2001 From: Gabriel Lindeblad <78178279+Glindeb@users.noreply.github.com> Date: Mon, 27 Feb 2023 09:57:40 +0100 Subject: [PATCH 2/4] =?UTF-8?q?worked=20on=20felk=C3=A4llor?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Documentation/Rapport/Diskussion.tex | 23 ++++++++++++++++++++--- Documentation/Rapport/Main.acn | 1 + Documentation/Rapport/Main.glg | 6 +++--- Documentation/Rapport/Main.glo | 1 + Documentation/Rapport/Main.gls | 3 ++- Documentation/Rapport/Main.ist | 2 +- Documentation/Rapport/Main.pdf | Bin 23022755 -> 23024558 bytes Documentation/Rapport/Main.synctex.gz | Bin 1094129 -> 1099461 bytes 8 files changed, 28 insertions(+), 8 deletions(-) diff --git a/Documentation/Rapport/Diskussion.tex b/Documentation/Rapport/Diskussion.tex index 53ad6ca..ca5e865 100644 --- a/Documentation/Rapport/Diskussion.tex +++ b/Documentation/Rapport/Diskussion.tex @@ -46,15 +46,27 @@ en annan fördel att det lätt går att jämföra och urskilja skillnader i säkerheten för stora data mängder mellan olika körlägen tack vare att en bild användes som testdata. Vilket då ger en tydlig visuell indikation på hur säkerheten påverkas av det olika körlägena. -\section{Felkällor} % Variabilitet i klockhastighet, Ogämnheter i implementeringen som resulterar i missvisande tider, osäkerhet host mätmetoden, fel i implementeringen, ???? -Om man ska titta på felkällorna som finns i undersökningen så finns det bland annat som nämnts tidigare en risk för att implementeringen av \acrshort{aes} inte är helt korrekt. Vilket -då skulle kunna påverka resultatets tillförlitlighet. +\section{Felkällor} % Variabilitet i klockhastighet, osäkerhet host mätmetoden, Data mängden som testas, Ta hänsyn till att en större nyckel inebär en längre nyckel utvecklings tid. +\label{sec:errors} +Om man ska titta på felkällor så finns det bland annat som nämnts tidigare en risk för att implementeringen av \acrshort{aes} inte är helt korrekt. Vilket +då skulle kunna påverka resultatets tillförlitlighet. Bland annat genom att introducera tidskillnader mellan exempelvis olika körlägen eller nyckellängder som inte skulle finnas i en korrekt implementering. Detta innebär +då att det finns en risk att fel i implementeringen av \acrshort{aes} kan påverka resultatet, vilket därmed tillför en viss osäkerhet till resultatet. % (To be rewived) + +En annan felkälla skulle även kunna vara själva resultat hanteringen. Något som för denna undersökning gjordes manuellt efter att undersökningen var genomförd. Detta innebär då att +de finns en möjlighet för fel som beror på den mänsklig faktorn som exempelvis felaktig avläsning eller felaktiga beräkningar vid sammanställning av resultatet. Något som då ytterligare +påverkar resultatets tillförlitlighet negativt. % (To be rewived) + +Sedan skulle en annan felkälla även kunna vara en variation i \gls{cpuh} mellan omgångarna, vilket då skulle leda till att olika omgångar av underrsökningen hinner olika många instruktioner +per sekund. En variation som då skulle kunna leda till en ökad spridning i resultatet och därmed tillföra en viss osäkerhet till resultatet. + +Ytterligare en felkälla skulle kunna vara Sedan så skulle en felkälla kunna vara variabilitet i klockhastigheten hos datorn som undersökningen utfördes på. Eftersom ifall den varierar mellan omgångarna så innebär de att antalet instruktioner som datorns CPU hinner med på en viss tid förändras, vilket då leder till en viss osäkerhet i resultatet. \section{Förbättringar} % Öka antalet reppetitioner för att minskar risken för fel, använda andra metoder för att mäta tiden, testa olika nycklar för att se hur de påverkar, Dubbelkolla implementeringen, testa med andra filstorlekar och gämföra om inehållet i filerna har betydlese, Begränsa kolckhastigheten ytterligare, Utföra undersökningen i en mer kontrolerad testmiljö +\label{sec:improvements} Möjliga förbättringar som skulle kunna genomföras för att få ett mer tillförlitligt resultat skulle exempelvis kunna vara att öka antalet omgångar som varje nyckel och körläge testas. Vilket då skulle kunna minska risken för att resultatet blir påverkat av slumpmässiga felkällor så som variationer i klockhastigheten. @@ -63,5 +75,10 @@ \section{Förbättringar} % Öka antalet reppetitioner för att minskar risken f Större filstorlekar för att se om man det är samma för olika storlekar \section{Slutsats} % Besvara frågeställningarna och kanske koppla lite till syftet med undersökningen +\label{sec:conclusion} Om man nu ska besvara frågeställningen "Hur påverkas tiden de tar att kryptera något mellan de olika nyckel längderna 128-bit, 192-bit och 256-bit nyckel?" så visar resultatet från undersökningen tydligt hur tiden det tar att kryptera något ökar ganska mycket i takt med att nyckeln blir längre. + +Pågrund av att utrustingnen som undersökningen genomförs på påverkar den faktiska tiden det tar att kryptera något så kan inte den tiden användas för att bygga några resonemang +utan istället går det bara att gämföra tiderna inbördes som genomfördes i denna undersökning, vilekt är varför alla resonemang och slusatser bygger på den procentuella tidsskilllnaden istället för +skillnaden i sekunder. \ No newline at end of file diff --git a/Documentation/Rapport/Main.acn b/Documentation/Rapport/Main.acn index 2d65701..720b97a 100644 --- a/Documentation/Rapport/Main.acn +++ b/Documentation/Rapport/Main.acn @@ -171,3 +171,4 @@ \glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} \glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{35} \glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{36} +\glossaryentry{AES?\glossentry{aes}|setentrycounter[]{page}"\glsnumberformat}{36} diff --git a/Documentation/Rapport/Main.glg b/Documentation/Rapport/Main.glg index 041625f..8d1e548 100644 --- a/Documentation/Rapport/Main.glg +++ b/Documentation/Rapport/Main.glg @@ -1,7 +1,7 @@ This is makeindex, version 2.16 [TeX Live 2022] (kpathsea + Thai support). Scanning style file ./Main.ist.............................done (29 attributes redefined, 0 ignored). -Scanning input file Main.glo....done (119 entries accepted, 0 rejected). -Sorting entries....done (894 comparisons). -Generating output file Main.gls....done (97 lines written, 0 warnings). +Scanning input file Main.glo....done (120 entries accepted, 0 rejected). +Sorting entries....done (892 comparisons). +Generating output file Main.gls....done (98 lines written, 0 warnings). Output written in Main.gls. Transcript written in Main.glg. diff --git a/Documentation/Rapport/Main.glo b/Documentation/Rapport/Main.glo index bfa07e1..1d0a0d3 100644 --- a/Documentation/Rapport/Main.glo +++ b/Documentation/Rapport/Main.glo @@ -117,3 +117,4 @@ \glossaryentry{Byte?\glossentry{byte}|setentrycounter[]{page}"\glsnumberformat}{35} \glossaryentry{Byte?\glossentry{byte}|setentrycounter[]{page}"\glsnumberformat}{35} \glossaryentry{XOR?\glossentry{xor}|setentrycounter[]{page}"\glsnumberformat}{35} +\glossaryentry{CPU klockhastighet?\glossentry{cpuh}|setentrycounter[]{page}"\glsnumberformat}{36} diff --git a/Documentation/Rapport/Main.gls b/Documentation/Rapport/Main.gls index fac2b37..82325a1 100644 --- a/Documentation/Rapport/Main.gls +++ b/Documentation/Rapport/Main.gls @@ -25,7 +25,8 @@ \setentrycounter[]{page}\glsnumberformat{7}\delimN \setentrycounter[]{page}\glsnumberformat{10\delimN 11}}}% \glossentry{cpuh}{\glossaryentrynumbers{\relax - \setentrycounter[]{page}\glsnumberformat{30}}}\glsgroupskip + 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