International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Thomas Johansson

Affiliation: Lund University

Publications

Year
Venue
Title
2019
TCHES
Error Amplification in Code-based Cryptography
Code-based cryptography is one of the main techniques enabling cryptographic primitives in a post-quantum scenario. In particular, the MDPC scheme is a basic scheme from which many other schemes have been derived. These schemes rely on iterative decoding in the decryption process and thus have a certain small probability p of having a decryption (decoding) error.In this paper we show a very fundamental and important property of code-based encryption schemes. Given one initial error pattern that fails to decode, the time needed to generate another message that fails to decode is strictly much less than 1/p. We show this by developing a method for fast generation of undecodable error patterns (error pattern chaining), which additionally proves that a measure of closeness in ciphertext space can be exploited through its strong linkage to the difficulty of decoding these messages. Furthermore, if side-channel information is also available (time to decode), then the initial error pattern no longer needs to be given since one can be easily generated in this case.These observations are fundamentally important because they show that a, say, 128- bit encryption scheme is not inherently safe from reaction attacks even if it employs a decoder with a failure rate of 2−128. In fact, unless explicit protective measures are taken, having a failure rate at all – of any magnitude – can pose a security problem because of the error amplification effect of our method.A key-recovery reaction attack was recently shown on the MDPC scheme as well as similar schemes, taking advantage of decoding errors in order to recover the secret key. It was also shown that knowing the number of iterations in the iterative decoding step, which could be received in a timing attack, would also enable and enhance such an attack. In this paper we apply our error pattern chaining method to show how to improve the performance of such reaction attacks in the CPA case. We show that after identifying a single decoding error (or a decoding step taking more time than expected in a timing attack), we can adaptively create new error patterns that have a much higher decoding error probability than for a random error. This leads to a significant improvement of the attack based on decoding errors in the CPA case and it also gives the strongest known attack on MDPC-like schemes, both with and without using side-channel information.
2019
PKC
Decryption Failure Attacks on IND-CCA Secure Lattice-Based Schemes
In this paper we investigate the impact of decryption failures on the chosen-ciphertext security of lattice-based primitives. We discuss a generic framework for secret key recovery based on decryption failures and present an attack on the NIST Post-Quantum Proposal ss-ntru-pke. Our framework is split in three parts: First, we use a technique to increase the failure rate of lattice-based schemes called failure boosting. Based on this technique we investigate the minimal effort for an adversary to obtain a failure in three cases: when he has access to a quantum computer, when he mounts a multi-target attack or when he can only perform a limited number of oracle queries. Secondly, we examine the amount of information that an adversary can derive from failing ciphertexts. Finally, these techniques are combined in an overall analysis of the security of lattice based schemes under a decryption failure attack. We show that an attacker could significantly reduce the security of lattice based schemes that have a relatively high failure rate. However, for most of the NIST Post-Quantum Proposals, the number of required oracle queries is above practical limits. Furthermore, a new generic weak-key (multi-target) model on lattice-based schemes, which can be viewed as a variant of the previous framework, is proposed. This model further takes into consideration the weak-key phenomenon that a small fraction of keys can have much larger decoding error probability for ciphertexts with certain key-related properties. We apply this model and present an attack in detail on the NIST Post-Quantum Proposal – ss-ntru-pke – with complexity below the claimed security level.
2019
TOSC
A new SNOW stream cipher called SNOW-V
In this paper we are proposing a new member in the SNOW family of stream ciphers, called SNOW-V. The motivation is to meet an industry demand of very high speed encryption in a virtualized environment, something that can be expected to be relevant in a future 5G mobile communication system. We are revising the SNOW 3G architecture to be competitive in such a pure software environment, making use of both existing acceleration instructions for the AES encryption round function as well as the ability of modern CPUs to handle large vectors of integers (e.g. SIMD instructions). We have kept the general design from SNOW 3G, in terms of linear feedback shift register (LFSR) and Finite State Machine (FSM), but both entities are updated to better align with vectorized implementations. The LFSR part is new and operates 8 times the speed of the FSM. We have furthermore increased the total state size by using 128-bit registers in the FSM, we use the full AES encryption round function in the FSM update, and, finally, the initialization phase includes a masking with key bits at its end. The result is an algorithm generally much faster than AES-256 and with expected security not worse than AES-256.
2017
ASIACRYPT
2016
ASIACRYPT
2015
CRYPTO
2014
JOFC
2014
ASIACRYPT
2014
FSE
Low weight polynomials and crypto
Thomas Johansson
2011
JOFC
2009
FSE
2008
ASIACRYPT
2007
ASIACRYPT
2007
FSE
2006
FSE
2005
ASIACRYPT
2005
FSE
2005
FSE
2004
FSE
2003
EUROCRYPT
2002
FSE
2001
JOFC
2000
CRYPTO
2000
FSE
2000
EPRINT
New Constructions of Resilent and Correlation Immune Boolean Functions achieving Upper Bounds on Nonlinearity
Recently weight divisibility results on resilient and correlation immune Boolean functions have received a lot of attention. These results have direct consequences towards the upper bound on nonlinearity of resilient and correlation immune Boolean functions of certain order. Now the clear benchmark in the design of resilient Boolean functions (which optimizes Sigenthaler's inequality) is to provide results which attain the upper bound on nonlinearity. Here we construct a 7-variable, 2-resilient Boolean function with nonlinearity 56. This solves the maximum nonlinearity issue for 7-variable functions with any order of resiliency. Using this 7-variable function, we also construct a 10-variable, 4-resilient Boolean function with nonlinearity 480. Construction of these two functions were justified as important open questions in Crypto 2000. Also we provide methods to generate an infinite sequence of Boolean functions on $n = 7 + 3i$ variables $(i \geq 0)$ with order of resiliency $m = 2 + 2i$, algebraic degree $4 + i$ and nonlinearity $2^{n-1} - 2^{m+1}$, which were not known earlier. We conclude with a few interesting construction results on unbalanced correlation immune functions of 5 and 6 variables.
2000
EPRINT
A Construction of Resilient Functions with High Nonlinearity
Thomas Johansson Enes Pasalic
The relationship between nonlinearity and resiliency for a function $F:\mathbb{F}_2^n \mapsto \mathbb{F}_2^m$ is considered. We give a construction of resilient functions with high nonlinearity. The construction leads to the problem of finding a set of linear codes with a fixed minimum distance, having the property that the intersection between any two codes is the all zero codeword only. This problem is considered, and existence results are provided. The constructed functions obtain a nonlinearity superior to previous construction methods.
1999
CRYPTO
1999
EUROCRYPT
1998
ASIACRYPT
1997
EUROCRYPT
1997
EUROCRYPT
1996
CRYPTO
1994
EUROCRYPT
1993
CRYPTO
1993
CRYPTO
1993
EUROCRYPT

Program Committees

Crypto 2015
Eurocrypt 2013
Eurocrypt 2012
Asiacrypt 2010
FSE 2010
Asiacrypt 2009
Eurocrypt 2009
FSE 2008
Crypto 2008
Asiacrypt 2007
FSE 2007
FSE 2006
Asiacrypt 2005
FSE 2005
Eurocrypt 2004
FSE 2004
FSE 2003
FSE 2002
Eurocrypt 2002
FSE 2001
Eurocrypt 2001
Eurocrypt 2000
Eurocrypt 1998