From 70b4857933e0806162a96cf348dc2ef3adab0aed Mon Sep 17 00:00:00 2001 From: jude Date: Sat, 18 Feb 2023 15:47:19 +0000 Subject: [PATCH] update presentation --- whitepaper/demonstration/presentation.pdf | Bin 1822739 -> 1836565 bytes whitepaper/demonstration/presentation.tex | 54 +++++++++++++++++++--- whitepaper/demonstration/speech.pdf | Bin 45161 -> 45733 bytes whitepaper/demonstration/speech.tex | 16 +++---- 4 files changed, 56 insertions(+), 14 deletions(-) diff --git a/whitepaper/demonstration/presentation.pdf b/whitepaper/demonstration/presentation.pdf index e7f98c39efd7cccfe8ab59172e1f2573ab83c5ec..a32349938a11c749d70f28979189bedb4ee7df99 100644 GIT binary patch delta 57918 zcmZU(18^Ww^XMDfwr$(Cv)S0TwaLUbHs;25HnyE?u(6$ut(Winzjxogb*Jms-7{yZ zrlzK*yU#hDobQ+#<5VXM3Pk0tLPswN(hucjAfa*zv$mKCi=|)IsvA%?@WE7>7qWt4 zX9{rK_7Ng@5Ev~Nq=j({gsY-3h-8_ZmFL6X7)?A zFfh0zkc`8_Aau^^qd_?ldpAewS(uGBQv8!ewLC8YCG)1}K;CUCEd0G76-{MCq-iUt zCBkd|I*G0MN`kicQ%-SS)RE)tlim8YLH1X8a 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z&P-q4u)E(ML^Gu!{|ITt7z*(uk_nXKFeedCqs{`n{{`?G{;yyGo+nu&#;*5K<+9ex zzvk}fQ4vaW^jk`VtN>LpoT^Mj<>$Zq7WSY2|GT&mw0<~$I-Y(aN?p%^h!o1DvV-Fh zp*L%Oeg@F@ zf5qDs{&AbQH2)s4n(Y2g*7JM6O#OE{7etUboQfDuaeb&7un2YVDZ(UGzkg}KOxM8z zwerxdX#Si>(6>Xn^>b+;;pQQH?vE6bZ9r$&!F1%|vJGOK`B&E=v1W8$2vK` z@`;s_9(-|EN6N!XgFJCEPx(=0A6R(^PF^4n{?R4P`yJoc+G*`RKh,very thick] (0,-2)--node [auto] {$E_{k_A}(N_A)$}++(6,0); + \draw [<-,very thick] (0,-2.75)--node [auto] {$E_{k_B}(N_B)$}++(6,0); + + \draw [->,very thick] (0,-4)--node [auto] {$k_A$}++(6,0); + \draw [<-,very thick] (0,-4.75)--node [auto] {$k_B$}++(6,0); + + \node[draw=blue!50,rectangle,thick] (CA) at (0,-5.5) {Compute $N_A + N_B$}; + \node[draw=blue!50,rectangle,thick] (CB) at (6,-5.5) {Compute $N_A + N_B$}; + + \draw [very thick] (A)-- (NoiseA)-- (CA)-- (0,-5.5); + \draw [very thick] (B)-- (NoiseB)-- (CB)-- (6,-5.5); + \end{tikzpicture} + \end{center} \end{frame} \begin{frame}{Results} Generating large primes using ECMAScript \texttt{BigInt} and Rabin-Miller. @@ -82,6 +114,16 @@ \begin{frame}{Results} Implementation of Risk. \end{frame} +\begin{frame}{Next steps} + \begin{itemize} + \item Zero-knowledge system for fog-of-war. + \item Reduce issues of players halting play. \begin{itemize} + \item Handle disconnects. + \end{itemize} + \item Check for modular biases. + \item General analysis. + \end{itemize} +\end{frame} \begin{frame}{Citations} \textit{Image} Risk game board by CMG Lee, the asterisk denoting the missing link in the 40th Anniversary Collector's Edition, based on shapes from http://commons.wikimedia.org/wiki/File:Risk\_board.svg. 11 November 2008. 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A good example of this is networks such as usenets and IRC outlasting many social media platforms, as they still have a community backing them. @@ -101,17 +101,17 @@ However, decentralised platforms are exposed to a unique set of challenges than For example, Tor experienced unique attacks against its infrastructure, including denial-of-service against old tor v2 addresses, causing the network to go offline for many users. -To mitigate security risks, platforms such as torrents revert to centralisation in the form of trackers to validate file chunks being sent via peers. The idea is that we want to avoid this centralisation as much as is possible. +To mitigate security risks, platforms such as torrents revert to centralisation in the form of trackers to validate file chunks being sent via peers. The idea is that we want to avoid this centralisation as much as possible. \subsection{slide5} -To achieve this, I will be using many of the standard cryptographic protocols such as AES and RSA, but along with the Paillier cryptosystem and zero-knowledge proofs, which are some newer and less appreciated cryptographic schemes. +To achieve this, I will be using many of the standard cryptographic protocols such as AES and RSA, but along with the Paillier cryptosystem and zero-knowledge proofs, which are some less appreciated areas of cryptography. -The reason i will be using Paillier is that it has an interesting additive homomorphic property, where manipulating cyphertexts actually manipulates the underlying plaintexts. +Paillier is of interest as it has an interesting additive homomorphic property, where manipulating cyphertexts manipulates the underlying plaintexts in predictable ways. -Zero-knowledge proofs are currently in use in the blockchain ledgers monero and zcash. They use bulletproofs and zksnarks respectively to obfuscate transaction amounts, recipients and senders. +Zero-knowledge proofs are currently in use in the blockchain ledgers monero and zcash. They use bulletproofs and zksnarks respectively to obfuscate transaction amounts, recipients and senders. I will be using a scheme described by Damgard et al, which allows construction of ZKPs for a cyphertext being non-zero -My implementation targets the web out of simplicity. This has caused some challenges that I will address however. +On a more practical note, my implementation is targetting the browser. This is of interest purely as it applies some particularly new APIs such as weblocks and bigint. \subsection{slide6} @@ -137,9 +137,9 @@ Finally, I have a P2P implementation of standard risk. The map is reduced to mak The next steps for the implementation are to blend the paillier cryptosystem with the game itself to get the fog-of-war variant. This requires the implementation of a zero-knowledge proof scheme that is described by INSERT REFERENCE. -I also want to improve the implementation somewhat to reduce other more general attack surfaces. For example, preventing players from stopping play by not responding to messages, which is currently an effective strategy for a losing player. There is also some cases of modular bias that need to be removed in the dice rolling scheme. +I also want to improve the implementation somewhat to reduce other more general attack surfaces. For example, preventing players from stopping play by not responding to messages, which is currently an effective strategy for a losing player. This also means gracefully handling disconnects. -Further analysis is also necessary of the optimisations I made to the paillier cryptosystem, as certain computations were subtly changed to ensure that the size of intermediary values didn't exceed the upper limit on big integers. +Further analysis is also necessary of the optimisations I made to the paillier cryptosystem, as certain computations were subtly changed to ensure that the size of intermediary values didn't exceed the upper limit on big integers. This may have introduced a modular bias, which would be breaking. Following this, I plan to do a more general analysis of the system to check its security and benchmark.