From d88d6a7bdbafe3892ca3d26c07fad0b9c6bc2b83 Mon Sep 17 00:00:00 2001 From: Ezerous Date: Mon, 17 May 2021 16:42:43 +0300 Subject: [PATCH] feat: init asymmetric cryptography --- .gitattributes | 2 + .../2.0.theoretical-background.tex | 2 +- .../2.2.assymetric-cryptography.tex | 28 -------- .../2.2.asymmetric-cryptography.tex | 26 ++++++++ custom-commands/custom-lists.tex | 3 + greek-enumerate.sty | 62 ++++++++++++++++++ packages.tex | 2 + thesis-general.sty | 2 + thesis.pdf | Bin 249915 -> 246083 bytes 9 files changed, 98 insertions(+), 29 deletions(-) create mode 100644 .gitattributes delete mode 100644 chapters/2.theoretical-background/2.2.assymetric-cryptography.tex create mode 100644 chapters/2.theoretical-background/2.2.asymmetric-cryptography.tex create mode 100644 custom-commands/custom-lists.tex create mode 100644 greek-enumerate.sty diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..5a0d5e4 --- /dev/null +++ b/.gitattributes @@ -0,0 +1,2 @@ +# Auto detect text files and perform LF normalization +* text=auto eol=lf diff --git a/chapters/2.theoretical-background/2.0.theoretical-background.tex b/chapters/2.theoretical-background/2.0.theoretical-background.tex index d8c3d6c..9e70371 100644 --- a/chapters/2.theoretical-background/2.0.theoretical-background.tex +++ b/chapters/2.theoretical-background/2.0.theoretical-background.tex @@ -1,7 +1,7 @@ \chapter{Θεωρητικό υπόβαθρο} \input{chapters/2.theoretical-background/2.1.hash-functions} -\input{chapters/2.theoretical-background/2.2.assymetric-cryptography} +\input{chapters/2.theoretical-background/2.2.asymmetric-cryptography} \input{chapters/2.theoretical-background/2.3.blockchain} \input{chapters/2.theoretical-background/2.4.smart-contracts} \input{chapters/2.theoretical-background/2.5.distributed-databases} diff --git a/chapters/2.theoretical-background/2.2.assymetric-cryptography.tex b/chapters/2.theoretical-background/2.2.assymetric-cryptography.tex deleted file mode 100644 index 61d3f7a..0000000 --- a/chapters/2.theoretical-background/2.2.assymetric-cryptography.tex +++ /dev/null @@ -1,28 +0,0 @@ -\section{Κρυπτογραφία ασύμμετρου κλειδιού} - -\subsection{Ασύμμετρη κρυπτογραφία} - -% TODO - -\subsection{OpenPGP} - -% Παλιό από Drive -Το Pretty Good Privacy (PGP) αποτελεί λογισμικό κρυπτογράφησης υψηλής ασφαλείας βασισμένο στην τεχνολογία που καλείται κρυπτογράφηση "δημοσίων κλειδιών" (public key). Επιτρέπει την ανταλλαγή αρχείων και μηνυμάτων διασφαλίζοντας το απόρρητο και την ταυτότητα σε συνδυασμό με την ευκολία λειτουργίας. - -\begin{itemize} - \item Διασφάλιση του απορρήτου σημαίνει ότι μόνο αυτός για τον οποίο προορίζεται ένα μήνυμα είναι ικανός να το αποκρυπτογραφήσει και να το διαβάσει. - \item Πιστοποίηση της ταυτότητας σημαίνει ότι μηνύματα που φαίνεται πως έχουν προέλθει από κάποιο άτομο μπορούν να έχουν προέλθει μόνο από αυτό το άτομο. - \item Ευκολία σημαίνει ότι η διασφάλιση του απόρρητου και η πιστοποίησης της ταυτότητας παρέχονται χωρίς την πολυπλοκότητα της διαχείρισης κλειδιών η οποία σχετίζεται με τη συμβατική κρυπτογραφία. -\end{itemize} - -Στα κρυπτοσυστήματα δημοσίων κλειδιών ο καθένας έχει δυο συμπληρωματικά κλειδιά. Ένα που δίδεται δημόσια (public key) και ένα μυστικό (private key). Βασικά χαρακτηριστικά των δύο κλειδιών είναι ότι: 1) οτιδήποτε κρυπτογραφηθεί με το ένα αποκρυπτογραφείται μόνο από το άλλο και 2) το ένα δεν προκύπτει από το άλλο. - -% TODO: insert diagram - -Έτσι, ο καθένας μπορεί να χρησιμοποιήσει το δημόσιο κλειδί του παραλήπτη ενός μηνύματος για να κρυπτογραφήσει ένα μήνυμα προς αυτό το άτομο ενώ ο παραλήπτης μπορεί να χρησιμοποιήσει με τη σειρά του το αντίστοιχο μυστικό κλειδί για να αποκρυπτογραφήσει το μήνυμα. Κανένας άλλος εκτός από τον παραλήπτη δεν μπορεί να το αποκρυπτογραφήσει (ούτε καν το άτομο που το κρυπτογράφησε), διότι κανένας άλλος δεν έχει πρόσβαση στο μυστικό κλειδί. - -Επίσης παρέχεται υπηρεσία πιστοποίησης του μηνύματος. Το μυστικό κλειδί του αποστολέα μπορεί να χρησιμοποιηθεί για την κρυπτογράφηση του μηνύματος άρα και για την υπογραφή του. Έτσι δημιουργείται μια ψηφιακή υπογραφή του μηνύματος την οποία ο παραλήπτης ή οποιοσδήποτε άλλος μπορεί να ελέγξει χρησιμοποιώντας το δημόσιο κλειδί του αποστολέα για να την αποκρυπτογραφήσει. Αυτό αποδεικνύει ότι ο αποστολέας ήταν ο πραγματικός δημιουργός του μηνύματος και ότι το μήνυμα δεν αλλοιώθηκε από κάποιον άλλον διότι μόνο ο αποστολέας έχει στην κατοχή του το μυστικό κλειδί που έφτιαξε την υπογραφή. - -% TODO: insert diagram - -Γίνεται προφανές ότι χρησιμοποιώντας κάποιο hash αντί πραγματικών ονομάτων μπορούμε εγγυηθούμε την ανωνυμία του χρήστη αφού μόνο ένα φαινομενικά τυχαίο string είναι δημόσια διαθέσιμο. Αν ταυτόχρονα συνδέσουμε το hash με ένα PGP public key εγγυόμαστε την ταυτοποίηση του χρήστη καθώς μόνο ο κάτοχος του private κλειδιού μπορεί να υπογράψει ορθά ένα μήνυμα. diff --git a/chapters/2.theoretical-background/2.2.asymmetric-cryptography.tex b/chapters/2.theoretical-background/2.2.asymmetric-cryptography.tex new file mode 100644 index 0000000..91f1bdb --- /dev/null +++ b/chapters/2.theoretical-background/2.2.asymmetric-cryptography.tex @@ -0,0 +1,26 @@ +\section{Ασύμμετρη κρυπτογραφία} + +Η \textbf{ασύμμετρη κρυπτογραφία} (asymmetric cryptography) ή κρυπτογραφία δημόσιου κλειδιού (public-key cryptography) αποτελεί κρυπτογραφικό σύστημα που βασίζεται στη χρήση ενός ζεύγους κλειδιών (key pair), του \textit{δημόσιου} (public key) και του \textit{ιδιωτικού} (private key). Αυτά τα κλειδιά είναι μαθηματικά συνδεδεμένα ως εξής: + +\begin{itemize} + \item Το ιδιωτικό κλειδί δε μπορεί να προκύψει γνωρίζοντας το δημόσιό του + \item Ό,τι κρυπτογραφηθεί από το ένα μπορεί να αποκρυπτογραφηθεί μόνο από το άλλο +\end{itemize} + +Η δημιουργία ενός ζεύγους κλειδιών επιτυγχάνεται μέσω μιας \textit{γεννήτριας κλειδιών} (key generation function), η οποία χρησιμοποιεί ειδικούς αλγορίθμους (π.χ. RSA), δεχόμενη ως είσοδο έναν τυχαίο αριθμό. Από τα παραχθέντα κλειδιά, το δημόσιο γνωστοποιείται σε τρίτους, ενώ το ιδιωτικό παραμένει μυστικό. + +% TODO: insert diagram + +Ο χρήστης μπορεί να χρησιμοποιήσει τα κλειδιά για δύο βασικούς σκοπούς: + +\begin{enumerate} + \item Για να αποκρυπτογραφήσει μηνύματα άλλων χρηστών, οι οποίοι τα κρυπτογράφησαν χρησιμοποιώντας το δημόσιο κλειδί του. Με αυτόν τον τρόπο εξασφαλίζεται η \textit{εμπιστευτικότητα} (confidentiality). + \item Για να υπογράψει ψηφιακά ένα μήνυμα, κρυπτογραφώντας το hash των δεδομένων του με το ιδιωτικό του κλειδί. Έτσι, ο παραλήπτης του μηνύματος μπορεί μέσω της ληφθείσας \textit{ψηφιακής υπογραφής} (digital signature): + \begin{enumerate} + \item Να επαληθεύσει την ταυτότητα του αποστολέα, αποκρυπτογραφώντας επιτυχώς την ψηφιακή υπογραφή με το δημόσιο κλειδί του τελευταίου. Εξασφαλίζεται έτσι η \textit{πιστοποίηση} (authenticity) της προέλευσης των δεδομένων. + \item Να επιβεβαιώσει ότι το μήνυμα έφτασε αναλλοίωτο, εφόσον το hash των δεδομένων συμπίπτει με το hash εντός της ψηφιακής υπογραφής. Με αυτόν τον τρόπο εξασφαλίζεται η \textit{ακεραιότητα} (integrity) των δεδομένων. + \end{enumerate} +\end{enumerate} + +Με τον συνδυασμό των παραπάνω, λέμε ότι δύο χρήστες μπορούν να επικοινωνούν μεταξύ τους με \textit{κρυπτογράφηση απ' άκρη σ' άκρη} (end to end encryption). + diff --git a/custom-commands/custom-lists.tex b/custom-commands/custom-lists.tex new file mode 100644 index 0000000..4100dc8 --- /dev/null +++ b/custom-commands/custom-lists.tex @@ -0,0 +1,3 @@ + % Global settings for ordered lists (using enumitem and greek-enumerate packages) +\setenumerate[1]{label={\greek*)}} % First level +\setenumerate[2]{label={\roman*.}} % Second level \ No newline at end of file diff --git a/greek-enumerate.sty b/greek-enumerate.sty new file mode 100644 index 0000000..2f7dcde --- /dev/null +++ b/greek-enumerate.sty @@ -0,0 +1,62 @@ +% https://github.com/jcommelin/greek_enumerate +\ProvidesPackage{greek-enumerate} +\RequirePackage{enumitem} + +\makeatletter +\def\greek#1{\expandafter\@greek\csname c@#1\endcsname} +\def\Greek#1{\expandafter\@Greek\csname c@#1\endcsname} +\def\@greek#1{\ifcase#1 + \or $\alpha$% + \or $\beta$% + \or $\gamma$% + \or $\delta$% + \or $\epsilon$% + \or $\zeta$% + \or $\eta$% + \or $\theta$% + \or $\iota$% + \or $\kappa$% + \or $\lambda$% + \or $\mu$% + \or $\nu$% + \or $\xi$% + \or $o$% + \or $\pi$% + \or $\rho$% + \or $\sigma$% + \or $\tau$% + \or $\upsilon$% + \or $\phi$% + \or $\chi$% + \or $\psi$% + \or $\omega$% + \fi} +\def\@Greek#1{\ifcase#1 + \or $\mathrm{A}$% + \or $\mathrm{B}$% + \or $\Gamma$% + \or $\Delta$% + \or $\mathrm{E}$% + \or $\mathrm{Z}$% + \or $\mathrm{H}$% + \or $\Theta$% + \or $\mathrm{I}$% + \or $\mathrm{K}$% + \or $\Lambda$% + \or $\mathrm{M}$% + \or $\mathrm{N}$% + \or $\Xi$% + \or $\mathrm{O}$% + \or $\Pi$% + \or $\mathrm{P}$% + \or $\Sigma$% + \or $\mathrm{T}$% + \or $\mathrm{Y}$% + \or $\Phi$% + \or $\mathrm{X}$% + \or $\Psi$% + \or $\Omega$% + \fi} +\makeatother +\AddEnumerateCounter{\greek}{\@greek}{24} +\AddEnumerateCounter{\Greek}{\@Greek}{12} diff --git a/packages.tex b/packages.tex index 844d32e..6dfee71 100644 --- a/packages.tex +++ b/packages.tex @@ -17,3 +17,5 @@ % Custom commands \input{custom-commands/custom-title} +\input{custom-commands/custom-lists} + diff --git a/thesis-general.sty b/thesis-general.sty index cf588d6..5f99e90 100644 --- a/thesis-general.sty +++ b/thesis-general.sty @@ -6,3 +6,5 @@ % --- Styling --- \usepackage{hyperref} % Extensive support for hypertext \usepackage{authblk} % Support for footnote style author/affiliation +\usepackage{enumitem} % For item lists +\usepackage{greek-enumerate} % Greek enumeration for ordered item lists diff --git a/thesis.pdf b/thesis.pdf index 8dc7cb994e9c5ada8e11c49b14e9b8a556f1e85c..c3bcb162a8e64d6ba5f01013e6c0b50cddfd55b9 100644 GIT binary patch delta 77917 zcmZs>V|OlWu&o)}wr$(CZQJ&zXyIy8v-G z2=Pw{a0`fS7=T+q0LInL#oX8)#%n88ebND!8Lsz@_8C+|DryA;%#~^j;)ec@qc~zC z{uvtD_phvUWb=kQ4p1?vr z+fY|>#e{tBDsbtu=HB4Hh0MtdF34=_0{b%M-PmH(DQ}@~p}! z@=lH`2RH}{B_A>2_DC&yCr7;$Az(oC2B_c0L2TQE;-T6a*J_LvTUoy-R>DXm91q#g}Gebs#<;fy-fwzlKa9?wT(MohT zGI*Jdl7uJbf;Sr7jVJcGU~ykUrH}MSwv14?0Rq_wyAI+aiquvF#U$~!RCg#Ppsk!$dfX*HamdIpq_K%-|U(ia^!IXLv9TGNAsA@LFVg@wr zcE@eC*fKY{E?0*@)4$hWv3

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