Loki
Loki
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Trade and Communicate With Absolute Freedom

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no incentive or reward for their work. This makes running a Monero node a costly and often
thankless exercise. We have made significant changes to the Monero source code to address these
issues and ensure that they don’t impact Loki.
Loki integrates a Service Node system similar to the masternode system used by DASH. This
means that a percentage of the block reward goes to a network of nodes, economically incentivis
-
ing them to operate. These Service Nodes have two key functions: they provide greater network
resilience, and also act as a secondary network that can perform various functions. The first
among these secondary services is Loki Messenger, which allows users to send encrypted mes
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sages across a decentralised network.
Loki is not only a resilient medium of private exchange, but a platform for decentralised and
anonymous services.
2 Basic statistics
Loki supply
150,000,000
Loki difficulty target (blocktime)
120 seconds
Emission speed factor

Figure 1 Ring signature generation in a Cryptonote transaction
3
3.2 Stealth addresses
Monero uses stealth addresses to ensure unlinkability, so that the true public key of the receiver
is never linked to their transactions. Every time a Monero transaction is sent, a one-time stealth
address is created and the funds are sent to this address. Using Diffie-Hellman Key Exchange, the
receiver of the transaction is able to calculate a private spend key for this stealth address, thereby
taking ownership of the funds without having to reveal their true public address
4
. Stealth address
-
es provide unparalleled protection to receivers of transactions and are adopted as a core privacy
feature in Loki.
3.3 RingCT and Range proofs
RingCT was first proposed by the Monero Research Lab as a way to obfuscate transaction
amounts. RingCT currently uses range proofs which leverage Pedersen commitments to prove
that an amount of Monero being sent is between 0 and 2⁶⁴
5

We propose a new usage of range proofs, specifically
Bulletproofs
(a more compact range proof
method
6
), to prove that a Service Node holds a predetermined amount of Loki. We call this meth
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od a Bulletproof declaration; it is explained in section 4.5 of this paper.
3.4 Kovri
Kovri is a C++ implementation of an I2P router that is currently in development by the Monero
open source project
7
. I2P is a peer-to-peer protocol that forms the basis for a decentralised net
-
work that is able to route traffic through the internet without revealing the true IP addresses of
connections. Kovri is still in development and has not yet been released.
Loki intends to implement Kovri through its own nodes to securely route traffic, removing the
possibility of a connection between IP addresses and transactions. The use of Kovri will allow
greater privacy when transacting and using Service Nodes.
3.5 ASIC resistant hashing algorithm
An
Application-...

Loki prevents this by adopting the Cryptonote model, where a smooth emissions curve is fol
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lowed. This means that the block reward decreases slightly every block, instead of abrupt reduc
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tions that could cause hash rates to fluctuate.
The Loki emission curve is determined by the equation below, where
M
is the total supply ex
-
pressed in atomic units,
A
is the circulating supply expressed in atomic units, λ is the emission
speed factor.
(M-A)× λ+0.00000002A
Where:
M = 1.5 * 10⁸
A = Circulating supply
λ= 2⁻²0
Figure 2 The Loki emissions curve
5
...

3.7 Tail emission and inflation
There has been much debate into whether a deflationary or inflationary model makes more sense
for a cryptocurrency that is targeted towards being used as a currency rather than a store of value.
We envision Loki as a currency that allows a private method of transacting value and purchasing
access to second layer services. It is generally accepted that deflationary currencies encourage
saving and disincentivize spending, which is negative for the growth of economies. Reserve
banks in most successful economies target annual inflation rates at 1-2% to stimulate spending
and increase the velocity of money.
Taking this into account, Loki’s tail emission differs from Monero’s in that it offers an inflation
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ary rate of 0.5% per year, instead of having a fixed amount emitted per new block found. In prac
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tice a steady reward every block does increase total supply over time, but the proportion of the
total supply growth lowers every year the fixed block reward c...

Monerolink published a paper in early 2017 exploring true unspent outputs in ring signatures
9
.
Monerolink found that, on average, in 80% of ring signatures the true unspent output was the out
-
put with the highest block height (i.e. the newest block) . The Monero Research Lab and others
have done extensive research on the best method to choose mixins appropriately
10
.
Monero allows users to choose the mixins to be used in each transaction. This is usually done
by the wallet software (as per the code below) which specifies that 50% of unspent outputs must
be chosen from the ‘recent’ zone (transactions from the last 1.8 days) and 50% of unspent out
-
puts must be chosen using a triangular distribution from the remaining pool of available unspent
outputs. While this method favours using ‘newer’ unspent outputs in rings, it still uses constant
values instead of sampling an actual distribution which would more accurately match the real
spending habits of Monero us...

Figure 3 Spend-time distributions in Bitcoin and Monero over multiple distributions
11
Using this data along with the pseudocode provided in the Monerolink paper (referenced be
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low), Loki will sample mixins based on how users spend.This means that a third party analysing
the outputs in a ring signature cannot assume that the oldest ‘unspent’ output is a decoy output,
because the distribution at which the outputs were chosen reflects the appropriate chance that an
‘older’, unspent output would be included in the ring signature. This new sampling method will
increase Loki’s effectiveness against a temporal association attack.
SAMPLEMIXINS(RealOut, NumMixins)
Let TopGIdx be the index of the most recent
transaction output with denomination
RealOut.amount;
BaseReqMixCount := b(NumMixins+1)×1.5+1c;
Let RecentGIdx be the index of the most recent
transaction output prior to 5 days ago with
denomination RealOut.amount prior to 5 days ago;
BaseReqRecentCount :=...

4.2 Ring signature size
The ‘size’ of a ring signature refers to how many mixins are used to construct the ring. Monero
currently has an enforced minimum ring signature size of five, meaning that four mixins are used
alongside the real unspent output in a transaction.
In January 2016, Monero introduced a minimum ring size of three. This was done to defend the
network against the negative impacts of zero mixin transactions, that is rings where the only out
-
put signed in the ring is the true output. In September 2017 the Monero development team again
raised the ring size to a minimum of five. This was part of a gradual move to slowly increase the
ring size once the effects of a ring size of three was observed.
The effect of larger ring sizes has been sparsely studied, however in paper 0001, published by
the Monero Research Lab, the effect of differing ring sizes was analysed versus an attacker who
owned a large amount of outputs on the blockchain
12
. It was found that higher ring...

Loki Roadmap

1
April 2018
Mainnet Release
2
November 2018
Service Nodes Up
3
January 2019
Loki Messenger Release
4
March 2019
SNApp Open Source SDK
Simon Harman
Simon Harman Project Lead

Kee Jefferys
Kee Jefferys Tech Lead

Chris McCabe
Chris McCabe Operations Lead

Tom Winget
Tom Winget Head Developer

Josh Jessop
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Paul McLean
Paul McLean Performance Engineer

Jack Murray
Jack Murray Developer

Doyle Thai
Doyle Thai Developer

Ismail Malik
Advisors Ismail Malik

Tom Graham
Advisors Tom Graham

Lasse Clausen
Advisors Lasse Clausen

Dorjee Sun
Advisors Dorjee Sun

Taiyang Zhang
Advisors Taiyang Zhang

James Waugh
Advisors James Waugh

Michael Bacina
Advisors Michael Bacina

Dorjee Sun
Dorjee Sun
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Community Manager – Asia
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Ismail Malik
Ismail Malik
Britain Co-founder
BlockchainLab Founder
Blockchain R&D and ICO Advisor
Blockchain R&D + ICO Strategist
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CEO of Blockchain
Crypto media: ICO Crowd London, United Kingdom
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Lasse Clausen
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Token launch and token economics
Michael Bacina
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