From 810382fc4f1133146619e22c805fc8873b2b7e72 Mon Sep 17 00:00:00 2001 From: jude Date: Tue, 25 Apr 2023 17:38:53 +0100 Subject: [PATCH] update diss --- README.md | 2 - whitepaper/Dissertation.bib | 32 +++++ whitepaper/Dissertation.pdf | Bin 484834 -> 495313 bytes whitepaper/Dissertation.tex | 226 ++++++++++++++++++++---------------- 4 files changed, 161 insertions(+), 99 deletions(-) diff --git a/README.md b/README.md index 982de0e..4ac6747 100644 --- a/README.md +++ b/README.md @@ -1,8 +1,6 @@ # Riskless ### Undergraduate dissertation -**Paper: https://judesouthworth.xyz/Dissertation.pdf** - ## Running the demo 1. `pip install -r requirements.txt` diff --git a/whitepaper/Dissertation.bib b/whitepaper/Dissertation.bib index f338d83..4003bbb 100644 --- a/whitepaper/Dissertation.bib +++ b/whitepaper/Dissertation.bib @@ -254,6 +254,15 @@ doi={10.1109/SP.2014.36}} howpublished = {\url{https://github.com/tc39/proposal-bigint}}, } +@misc{ipfs, + author = {IPFS}, + title = {IPFS Specifications}, + year = {2023}, + publisher = {GitHub}, + journal = {GitHub repository}, + howpublished = {\url{https://github.com/ipfs/specs}}, +} + @misc{msgpack, author = {msgpack}, title = {{MessagePack}: Spec}, @@ -425,3 +434,26 @@ doi={10.1109/SP.2014.36}} abstract="In this paper, we address the question of providing security proofs for signature schemes in the so-called random oracle model [1]. In particular, we establish the generality of this technique against adaptively chosen message attacks. Our main application achieves such a security proof for a slight variant of the El Gamal signature scheme [4] where committed values are hashed together with the message. This is a rather surprising result since the original El Gamal is, as RSA [11], subject to existential forgery.", isbn="978-3-540-68339-1" } + +@inproceedings {wasm, + author = {Abhinav Jangda and Bobby Powers and Emery D. Berger and Arjun Guha}, + title = {Not So Fast: Analyzing the Performance of {WebAssembly} vs. Native Code}, + booktitle = {2019 USENIX Annual Technical Conference (USENIX ATC 19)}, + year = {2019}, + isbn = {978-1-939133-03-8}, + address = {Renton, WA}, + pages = {107--120}, + url = {https://www.usenix.org/conference/atc19/presentation/jangda}, + publisher = {USENIX Association}, + month = jul, +} + +@INPROCEEDINGS{upnp, + author={Esnaashari, Shadi and Welch, Ian and Komisarczuk, Peter}, + booktitle={2013 27th International Conference on Advanced Information Networking and Applications Workshops}, + title={Determining Home Users' Vulnerability to Universal Plug and Play (UPnP) Attacks}, + year={2013}, + volume={}, + number={}, + pages={725-729}, + doi={10.1109/WAINA.2013.225}} \ No newline at end of file diff --git a/whitepaper/Dissertation.pdf b/whitepaper/Dissertation.pdf index d6ba35fba1ee6f301fef4c4919ae1b82f24f5d6e..684dc16bae60bdc8be8e7fcb50d1589ac97ec1f4 100644 GIT binary patch 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zC|ZJQ3J)m6Pok7T=7B&7(VhNum;G7M?t4i8_8dQ)Zji1cy|S8sx#mkqcg$LvEz(iV zsqm}%gsQjfUCj+Vl-BX^2hd z^7Z=B+}Gc=jwv4fCne(_|7sF*jUP2w|1;3}huwUdG;cOzT32HjYuHX!Jyo2OXnw1A zb6eg3$Kb0>W;e}t2d?=tj@89X)m#D4*6$#-o85|zZTQ9zc$i;f6YKO&WjEwHlwm%hJ6VT3>3SxB zbMZVF^vn!;xwP$FnGX`03zABNeyc_H?jpRH+65dkE~ z59){nhNB02T9;({&P-U!TguT(M|fQeQmh)Xq#e?1F->1D*fB!_+8FH<l|fBg|S+);H{-u+3F!RzY!B4B*} dOo(ef3k{\Centering}X}} + \begin{tabularx}{\hsize}{c *6{>{\Centering}X}} \toprule \multirow{2}{*}{Modulus size} & \multicolumn{2}{c}{Proof-of-zero non-interactive} & \multicolumn{2}{c}{\hyperref[protocol1]{Protocol~\ref*{protocol1}} with $t = 24$} & - \multicolumn{2}{c}{\hyperref[protocol1]{Protocol~\ref*{protocol1}} with $t = 48$} & \multicolumn{2}{c}{BCDG Range with $t = 24$} \tabularnewline - \cmidrule(l){2-3}\cmidrule(l){4-5}\cmidrule(l){6-7}\cmidrule(l){8-9} - & Prover & Verifier & Prover & Verifier & Prover & Verifier & Prover & Verifier \\ + \cmidrule(l){2-3}\cmidrule(l){4-5}\cmidrule(l){6-7} + & Prover & Verifier & Prover & Verifier & Prover & Verifier \\ \midrule - $|n| = 1024$ & 10ms & 18ms & 1,420ms & 2,140ms & 2,900ms & 4,270ms & 443ms & 655ms \\ - $|n| = 2048$ & 44ms & 68ms & 6,390ms & 8,140ms & 13,200ms & 16,200ms & 1,980ms & 2,400ms \\ - $|n| = 4096$ & 225ms & 292ms & 41,500ms & 34,400ms & 83,200ms & 68,400ms & 14,300ms & 11,400ms \\ + $|n| = 1024$ & 10ms & 18ms & 1,420ms & 2,140ms & 443ms & 655ms \\ + $|n| = 2048$ & 44ms & 68ms & 6,390ms & 8,140ms & 1,980ms & 2,400ms \\ + $|n| = 4096$ & 225ms & 292ms & 41,500ms & 34,400ms & 14,300ms & 11,400ms \\ \bottomrule \end{tabularx} \parnotes @@ -1031,16 +1055,16 @@ All measurements were taken on Brave 1.50.114 (Chromium 112.0.5615.49) 64-bit, u \fontsize{10pt}{10pt}\selectfont \caption{Byte size\parnote{1 UTF-16 character, as used by ECMAScript \cite[Section~6.1.4]{ecma2024262}, is 2 or more bytes.} of encoded proofs} \label{table3} - \begin{tabularx}{\hsize}{c *8{>{\Centering}X}} + \begin{tabularx}{\hsize}{c *6{>{\Centering}X}} \toprule - \multirow{2}{*}{Modulus size} & \multicolumn{2}{c}{Proof-of-zero non-interactive} & \multicolumn{2}{c}{\hyperref[protocol1]{Protocol~\ref*{protocol1}} with $t = 24$} & \multicolumn{2}{c}{\hyperref[protocol1]{Protocol~\ref*{protocol1}} with $t = 48$} & \multicolumn{2}{c}{BCDG Range with $t = 24$} + \multirow{2}{*}{Modulus size} & \multicolumn{2}{c}{Proof-of-zero non-interactive} & \multicolumn{2}{c}{\hyperref[protocol1]{Protocol~\ref*{protocol1}} with $t = 24$} & \multicolumn{2}{c}{BCDG Range with $t = 24$} \tabularnewline - \cmidrule(l){2-3}\cmidrule(l){4-5}\cmidrule(l){6-7}\cmidrule(l){8-9} - & JSON & with LZ-String & JSON & with LZ-String & JSON & with LZ-String & JSON & with LZ-String \\ + \cmidrule(l){2-3}\cmidrule(l){4-5}\cmidrule(l){6-7} + & JSON & with LZ-String & JSON & with LZ-String & JSON & with LZ-String \\ \midrule - $|n| = 1024$ & 1,617B & 576B & 338,902B & 95,738B & 673,031B & 186,857B & 123,354B & 34,857B \\ - $|n| = 2048$ & 3,153B & 1,050B & 662,233B & 187,333B & 1,315,463B & 365,086B & 252,230B & 70,868B \\ - $|n| = 4096$ & 6,226B & 1,999B & 1,315,027B & 368,646B & 2,609,131B & 721,891B & 484,117B & 135,990B \\ + $|n| = 1024$ & 1,617B & 576B & 338,902B & 95,738B & 123,354B & 34,857B \\ + $|n| = 2048$ & 3,153B & 1,050B & 662,233B & 187,333B & 252,230B & 70,868B \\ + $|n| = 4096$ & 6,226B & 1,999B & 1,315,027B & 368,646B & 484,117B & 135,990B \\ \bottomrule \end{tabularx} \parnotes @@ -1048,53 +1072,61 @@ All measurements were taken on Brave 1.50.114 (Chromium 112.0.5615.49) 64-bit, u \end{landscape} -\chapter{Wider application} +\chapter{Conclusions} -Peer-to-peer software solutions have many benefits to end users: mainly being greater user freedom. I believe that the content presented here shows clear ways to extend peer-to-peer infrastructure, and reduce dependence on centralised services. +\section{Contributions} + +This project has contributed an implementation of an optimised form of Paillier that is compatible with modern web browsers. It is evident that, considering current hardware, Paillier in Jurik's form is a viable cryptosystem. + +The Paillier implementation provides means for Schnorr-style proofs of knowledge and also multi-round proofs of knowledge, which serialise to JSON. These are made non-interactive by applying the SHAKE cryptographic hash suite to reduce program complexity and communication cost. + +Multi-round proofs combining set membership and graph isomorphism are among the implementations, and have strong zero-knowledge properties once used with the Fiat-Shamir transform. + +\section{Wider application} + +P2P software solutions have many benefits to end users: mainly being greater user freedom. I believe that the content presented here shows clear ways to extend P2P infrastructure, and reduce dependence on centralised services. I propose some ideas which could build off the content here. -\section{Larger scale P2P games} +\subsection{Larger scale games} -Many other games exist that the ideas presented could be applied to. Games of larger scale with a similar structure, such as Unciv, could benefit from peer-to-peer networking implemented in a similar manner. In particular, \hyperref[protocol1]{Protocol~\ref*{protocol2}} would form an intrinsic part of such games. +Many other games exist that the ideas presented could be applied to. Games of larger scale with a similar structure, such as Unciv, could benefit from P2P networking implemented in a similar manner. In particular, \hyperref[protocol1]{Protocol~\ref*{protocol2}} would form an intrinsic part of such games. -The downsides of this are that the complexity of P2P networking is far greater than a standard centralised model. This would be a considerable burden on the developers, and could hurt the performance of such a game. The time taken to process and verify proofs also makes this inapplicable to games that are real-time. +The downsides of this are that the complexity of P2P networking is far greater than in a centralised model. This would be a considerable burden on the developers, and could hurt the performance of such a game. Additionally, some modern routers no longer support NAT hole-punching or UPnP due to security concerns \cite{upnp}, which makes accessing P2P services more difficult for end users. -\section{Decentralised social media} +\subsection{Decentralised social media} The schemes presented here could be applies to the concept of a decentralised social media platform. Such a platform may use zero-knowledge proofs as a way to allow for "private" profiles: the content of a profile may stay encrypted, but zero-knowledge proofs could be used as a way to allow certain users to view private content in a manner that allows for repudiation, and disallows one user from sharing private content to unauthorised users. -To store data, IPFS could be used. IPFS is a P2P data storage protocol. This poses an advantage that users can store their own data, if they have a large amount, but other users can mirror data to protect against outages or users going offline. The amount of effective storage would also grow as more users join the network. +To store data, IPFS could be used. IPFS is a P2P data storage protocol \cite{ipfs}. This poses an advantage that users can store their own data, but other users can mirror data to protect against outages or users going offline. The amount of effective storage would also grow as more users join the network. -\section{Handling of confidential data} +Decentralised platforms promote user privacy, as users can control their own data. Additionally, decentralised platforms promote standardisation of common operations such as instant messaging. This can include end-to-end encryption, and so confidentiality is then a choice of the user rather than the platform, and the consequences of backdoors or legislation targetting platforms is reduced. -The ability to prove the contents of a dataset to a second party without guaranteeing authenticity to a third party is another potential application of the protocol presented. Handling of confidential data is a critical concern for pharmaceutical companies, where a data leak imposes serious legal and competitive consequences for the company. A second party does however need some guarantee that the data received is correct. Proofs are one way of achieving this, although other techniques such as keyed hashing may be more effective. +Some P2P messaging standards already coexist that could be used here, for example Matrix and XMPP. + +\subsection{Handling of confidential data} + +The ability to prove the contents of a dataset to a second party without guaranteeing authenticity to a third party is another potential application of the protocol presented. Handling of confidential data is a critical concern for pharmaceutical companies, where a data leak imposes serious legal and competitive consequences for the company. To allow a second party to process data, some guarantee of the correctness of the data is required. Proofs are one way of achieving this, although other techniques such as keyed hashing may be more effective. Another consideration in this domain is the use of homomorphic encryption schemes to allow a third party to process data without actually viewing the data. This protects the data from viewing by the third party, and the processing methods from viewing by the first party. For example, common statistical functions such as regression can be performed on data that is encrypted under fully homomorphic encryption schemes. -\chapter{Limitations} +\section{Limitations} -Finally, I present a summary of general limitations that I encountered. - -\section{JavaScript} +\subsection{JavaScript} JavaScript was the incorrect choice of language for this project. Whilst the event-based methodology was useful, I believe overall that JavaScript made development much more difficult. JavaScript is a slow language. Prime generation takes a considerable amount of time, and this extends to encryption and decryption being slower than in an implementation in an optimising compiled language. This was seen in the results shown before. -JavaScript's type system makes debugging difficult. It is somewhat obvious that this problem is far worse in systems with more interacting parts. TypeScript may have been a suitable alternative, but most likely the easiest solution was to avoid both and go with a language that was designed with stronger typing in mind from the outset (even Python would likely have been easier, as there is at least no issue of \texttt{undefined}ness, and the language was designed with objects in mind from the start). +JavaScript's type system makes debugging difficult. It is somewhat obvious that this problem is far worse in systems with more interacting parts. TypeScript may have been a suitable alternative, but most likely the easiest solution was to avoid both and go with a language that was designed with stronger typing in mind from the outset. JavaScript is a re-entrant language: this means that the interpreter does not expose threads or parallelism to the developer, but it may still use threads under-the-hood and switch contexts to handle new events. This introduces the possibility of race conditions despite no explicit threading being used. The re-entrant nature is however beneficial to a degree, as it means that long-running code won't cause the WebSocket to close or block other communications from being processed. -\section{General programming} +Using a language that can interact with the operating system would have further advantages, as key generation can be performed by standard tools such as OpenSSL and stored in the system keychain, and features like SIMD could be utilised for parallelism. -Peer-to-peer programming requires a lot more care than client-server programming. This makes development far slower and far more bug-prone. As a simple example, consider the action of taking a turn in Risk. In the peer-to-peer implementation presented, each separate peer must keep track of how far into a turn a player is, check if a certain action would end their turn (or if its invalid), contribute in verifying proofs, and contribute in generating randomness for dice rolls. In a client-server implementation, the server would be able to handle a turn by itself, and could then propagate the results to the other clients in a single predictable request. +\subsection{Resources} -The use of big integers leads to peculiar issues relating to signedness. Taking modulo $n$ of a negative number tends to return a negative number, rather than a number within the range $[0, n]$. This leads to inconsistencies when calculating the GCD or finding Bezout coefficients. In particular, this became an issue when trying to validate proofs of zero, as the GCD returned $-1$ rather than $1$ in some cases. Resolving this simply required changing the update and encrypt functions to add the modulus until the representation of the ciphertext was signed correctly. Using a non-numerical type (such as a byte array) may resolve this issue in general. - -\section{Resources} - -The peer-to-peer implementation requires more processing power and more bandwidth on each peer than a client-server implementation would. This is the main limitation of the peer-to-peer implementation. The program ran in a reasonable time, using a reasonable amount of resources on the computers I had access to, but these are not representative of the majority of people. Using greater processing power increases power consumption, which is undesirable. In a client-server implementation, the power consumption should be lower than the peer-to-peer implementation presented as no processing time is spent validating proofs or using the Paillier cryptosystem, which is less efficient than the hybrid cryptosystems used in standard online communication. +The P2P implementation requires more processing power and more bandwidth on each peer than a client-server implementation would. This is the main limitation of the P2P implementation. The program ran in a reasonable time, using a reasonable amount of resources on the computers I had access to, but these are not representative of the majority of people. Using greater processing power increases power consumption, which is undesirable. In a client-server implementation, the power consumption should be lower than the P2P implementation presented as no processing time is spent validating proofs or using the Paillier cryptosystem, which is less efficient than the hybrid cryptosystems used in standard online communication. \bibliography{Dissertation}