From 766b2a023a9651eff76e675d2ff9c309c42aa02a Mon Sep 17 00:00:00 2001 From: Ezerous Date: Sun, 5 Sep 2021 19:47:23 +0300 Subject: [PATCH] feature: add Merkle tree bibliography --- bibliography/references.bib | 14 ++++++++++++++ .../2.3.merkle-trees.tex | 6 +++--- thesis.pdf | Bin 586352 -> 592086 bytes 3 files changed, 17 insertions(+), 3 deletions(-) diff --git a/bibliography/references.bib b/bibliography/references.bib index f85f610..fe7520f 100644 --- a/bibliography/references.bib +++ b/bibliography/references.bib @@ -4,3 +4,17 @@ % proposed label naming convention: "chapter.subchapter-descriptive_name" % for example: "2.2.2-why-gpg-is-awesome" +@online{merkle-tree, + author = "Wikipedia", + title = "Merkle tree", + url = "https://en.wikipedia.org/wiki/Merkle_tree" +} + +@online{merkle-proofs-explained, + author = "Belavadi Prahalad", + title = "Merkle proofs Explained.", + date = "2018-01-07", + url = "https://medium.com/crypto-0-nite/merkle-proofs-explained-6dd429623dc5" +} + + diff --git a/chapters/2.theoretical-background/2.3.merkle-trees.tex b/chapters/2.theoretical-background/2.3.merkle-trees.tex index 45af892..4b31895 100644 --- a/chapters/2.theoretical-background/2.3.merkle-trees.tex +++ b/chapters/2.theoretical-background/2.3.merkle-trees.tex @@ -1,6 +1,6 @@ \section{Δένδρα Merkle} -Ένα δένδρο Merkle (Merkle tree ή hash tree) είναι μία δενδρική δομή δεδομένων, η οποία απαρτίζεται από φύλλα (leaf nodes), που περιέχουν hashes από blocks δεδομένων, και από άλλους κόμβους (non-leaf nodes), οι οποίοι περιέχουν τα hashes των θυγατρικών τους. Στην κορυφή του δένδρου βρίσκεται το λεγόμενο root hash. %TODO add reference: https://en.wikipedia.org/wiki/Merkle_tree +Ένα δένδρο Merkle (Merkle tree ή hash tree) είναι μία δενδρική δομή δεδομένων, η οποία απαρτίζεται από φύλλα (leaf nodes), που περιέχουν hashes από blocks δεδομένων, και από άλλους κόμβους (non-leaf nodes), οι οποίοι περιέχουν τα hashes των θυγατρικών τους. Στην κορυφή του δένδρου βρίσκεται το λεγόμενο root hash\cite{merkle-tree}. Η πιο συνηθισμένη υλοποίηση είναι το δυαδικό (binary) δένδρο Merkle, το οποίο περιλαμβάνει δύο θυγατρικούς κόμβους (child nodes) κάτω από κάθε γονικό non-leaf κόμβο, και είναι αυτό που αναλύεται στη συνέχεια. @@ -8,9 +8,9 @@ Τα Merkle trees επιτρέπουν την αποδοτική και ασφαλή επαλήθευση των περιεχομένων που ανήκουν σε σετ δεδομένων μεγάλου μεγέθους. Η βασική ιδιότητα είναι ότι για κάθε σετ δεδομένων υπάρχει ακριβώς ένα πιθανό δένδρο, το οποίο δε γίνεται να τροποποιηθεί χωρίς να αλλάξει ταυτόχρονα και το root hash. -Έτσι, μέσω των λεγόμενων Merkle proofs, μπορούμε: %TODO add reference: https://medium.com/crypto-0-nite/merkle-proofs-explained-6dd429623dc5 +Έτσι, μέσω των λεγόμενων Merkle proofs, μπορούμε: \begin{itemize} \item Να αποφανθούμε εάν κάποια δεδομένα ανήκουν στο δένδρο (με τον αριθμό των hashes που θα πρέπει να υπολογιστούν να είναι ανάλογος του λογαρίθμου του αριθμού των leaf nodes). \item Να αποδείξουμε συνοπτικά την εγκυρότητα ενός τμήματος κάποιου σετ δεδομένων, χωρίς να χρειαστεί να αποθηκεύσουμε ολόκληρο το σύνολο δεδομένων. - \item Να διασφαλίσουμε την εγκυρότητα ενός συγκεκριμένου συνόλου δεδομένων εντός ενός μεγαλύτερου σύνολου, χωρίς να χρειαστεί να αποκαλυφθεί το περιεχόμενο οποιουδήποτε εκ των δύο. + \item Να διασφαλίσουμε την εγκυρότητα ενός συγκεκριμένου συνόλου δεδομένων εντός ενός μεγαλύτερου σύνολου, χωρίς να χρειαστεί να αποκαλυφθεί το περιεχόμενο οποιουδήποτε εκ των δύο\cite{merkle-proofs-explained}. \end{itemize} diff --git a/thesis.pdf b/thesis.pdf index 9476a6ce9f908db712d595f25e1792cb25c48d76..2a79ed84faca95f61aff1336504caaf3fab3a041 100644 GIT binary patch delta 90874 zcmY(KQ*bU^(4}MBC$??dIk8S`+s+%?wr$(CZQFL{n}6nF=Ax_mdav5Gp5D9H-4V%3 zJgHw0a1)4iI51=C+zBKpfR%-bpC87_+0n$n2F86OS%uFIhY4=`k%qG*5KF0m5}DDK zat`7QSu3i8;PRU3mg^IK}ZsF`Dy(}}!i#8#II|CXVlGb>T%qP|K0)#|EoN9P;#whzV!#>Ce6 z|BCltXJ=>$!_4wO!lr&jf_wq9|DPT&8sr-=X?w|z6!Pi=)9t6RV=4&(sf%WgIH%)( z6+!QPT@l&yTQb-wsgaVHqicu?OeB^fIr9GIWXiepbV^DtCt%3z$b6ROvUrZzahE)C zTkf6h>z>*3D|IJjXlfD+SCaCBj7HhV+`wdx>r(DDFmY z*>X+NNa05n<1AoF{++ypI`huozPkQ+`xof5Ih(*ZZSoKY@b*HD|G_sX;P zHIwdolm9ugZYF>Vb;86A&ukzjUs?fh)@^6@uI&}&gpU^DU6{wL-<7)7V8h>+X&XQD zMjlN30i_Orf!E<29gRN?6=t)_M$=@n$-h0x``}t5xyPJ%x;h`gzmtv|r?x0m@&p2v z(%_13gO&G~nWD;%xU`1Oh|ap`WNLb3!%9jinX!wg(_p zl$rWB3?1{4O*S>dBW&nKvJ?GTHH~I(E~1mGkX&KNO1LYhj2N+%$wG6E@#zHZP#28O zqMK0d6zxxv#-ABguFE?Y` 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