Stealing Keys from PCs using a Radio:
Cheap Electromagnetic Attacks on Windowed Exponentiation

http://www.cs.tau.ac.il/~tromer/radioexp/

"Overview

We demonstrate the extraction of secret decryption keys from laptop computers, by nonintrusively measuring electromagnetic emanations for a few seconds from a distance of 50 cm. The attack can be executed using cheap and readily-available equipment: a consumer-grade radio receiver or a Software Defined Radio USB dongle. The setup is compact and can operate untethered; it can be easily concealed, e.g., inside pita bread. Common laptops, and popular implementations of RSA and ElGamal encryptions, are vulnerable to this attack, including those that implement the decryption using modern exponentiation algorithms such as sliding-window, or even its side-channel resistant variant, fixed-window (m-ary) exponentiation.

We successfully extracted keys from laptops of various models running GnuPG (popular open source encryption software, implementing the OpenPGP standard), within a few seconds. The attack sends a few carefully-crafted ciphertexts, and when these are decrypted by the target computer, they trigger the occurrence of specially-structured values inside the decryption software. These special values cause observable fluctuations in the electromagnetic field surrounding the laptop, in a way that depends on the pattern of key bits (specifically, the key-bits window in the exponentiation routine). The secret key can be deduced from these fluctuations, through signal processing and cryptanalysis."

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Cryptology ePrint Archive: Report 2015/170

http://eprint.iacr.org/2015/170

"Stealing Keys from PCs using a Radio: Cheap Electromagnetic Attacks on Windowed Exponentiation

Daniel Genkin and Lev Pachmanov and Itamar Pipman and Eran Tromer
Abstract: We present new side-channel attacks on RSA and ElGamal implementations that use the popular sliding-window or fixed-window (m-ary) modular exponentiation algorithms. The attacks can extract decryption keys using a very low measurement bandwidth (a frequency band of less than 100 kHz around a carrier under 2 MHz) even when attacking multi-GHz CPUs.

We demonstrate the attacks' feasibility by extracting keys from GnuPG, in a few seconds, using a nonintrusive measurement of electromagnetic emanations from laptop computers. The measurement equipment is cheap and compact, uses readily-available components (a Software Defined Radio USB dongle or a consumer-grade radio receiver), and can operate untethered while concealed, e.g., inside pita bread.

The attacks use a few non-adaptive chosen ciphertexts, crafted so that whenever the decryption routine encounters particular bit patterns in the secret key, intermediate values occur with a special structure that causes observable fluctuations in the electromagnetic field. Through suitable signal processing and cryptanalysis, the bit patterns and eventually the whole secret key are recovered.

Category / Keywords: side channel, electromagnetic analysis, RSA, ElGamal

Date: received 27 Feb 2015, last revised 3 Mar 2015

Contact author: tromer at cs tau ac il"

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