Download pdf here: CT and Pedersen Commitment 1. Introduction Pedersen Commitments are at the heart of how Monero conceals transaction amounts. The notion of a confidential transaction as enabled by Pedersen Commitments were outlined and defined by Gregory Maxwell in [1]. In what follows we first introduce the notion of a group homomorphism (of which the …
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Download pdf here: MLSAG Signature Scheme 1. Introduction Monero stands out from other cryptocurrencies in its ability to hide the signer, conceal the transaction amount, and protect the identity of the recepient. Parts 1, 2, 3, 4, 5, and 6 helped us build the foundation to better understand and appreciate the security properties of ring signatures …
Download pdf here: LSAG Signature Scheme 1. Introduction For a given ring size , Cryptonote’s original scheme (as introduced in part 5), generates signatures of the form consisting of arguments. It turns out that a more efficient scheme initially introduce in [3] and later adapted by Adam Back in [1] can achieve the same security properties …
Download pdf here: Cryptonote’s Ring Signature Scheme 1. Introduction In this part, we introduce Monero’s original signature scheme as described in van Saberhagen’s seminal Cryptonote paper [2]. The scheme is an adaptation of the Traceable Ring Signature introduced by Fujisaki and Suzuki [1]. The most recent version of Monero implements a different signature known as RingCT. …
Download pdf here: Herranz & Saèz Generic Ring Signature 1. Introduction In the next 4 parts of this series, we look at various ring signature schemes and prove their security in the RO model. This part is dedicated to the analysis of a generic class of ring signature schemes introduced in [1] and inspired by [2]. …
Download pdf here: Ring Signature Schemes 1. Introduction This is a brief article that introduces the concept of a ring signature. In parts 4, 5, 6, and 7 we will look at specific instances of ring signature schemes — including those used in earlier and more recent versions of the Monero project — and analyze their …
Download pdf here: Pointcheval and Stern Generic Signature 1. Introduction In the next few parts of this series, we look at various signature schemes and prove their security in the RO model. This part is dedicated to the analysis of Pointcheval and Stern Generic Signature Scheme of which the Schnorr scheme is an example. The generic …
Download pdf here: Digital Signature and Other Prerequisites 1. Introduction We divide this post into 6 sections. Section 2 is a qualitative description of digital signature schemes. Section 3 motivates the introduction of hash functions along with some of their desired properties. Section 4 describes a hypothetical ideal random function known as a Random Oracle. Section …