Secure binary field multiplication

Hwajeong Seo, Chien Ning Chen, Zhe Liu, Yasuyuki Nogami, Taehwan Park, Jongseok Choi, Howon Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


Binary field multiplication is the most fundamental building block of binary field Elliptic Curve Cryptography (ECC) and Galois/Counter Mode (GCM). Both bit-wise scanning and Look-Up Table (LUT) based methods are commonly used for binary field multiplication. In terms of Side Channel Attack (SCA), bit-wise scanning exploits insecure branch operations which leaks information in a form of timing and power consumption. On the other hands, LUT based method is regarded as a relatively secure approach because LUT access can be conducted in a regular and atomic form. This ensures a constant time solution as well. In this paper, we conduct the SCA on the LUT based binary field multiplication. The attack exploits the horizontal Correlation Power Analysis (CPA) on weights of LUT. We identify the operand with only a power trace of binary field multiplication. In order to prevent SCA, we also suggest a mask based binary field multiplication which ensures a regular and constant time solution without LUT and branch statements.

Original languageEnglish
Title of host publicationInformation Security Applications - 16th International Workshop, WISA 2015, Revised Selected Papers
EditorsDooho Choi, Ho-Won Kim
PublisherSpringer Verlag
Number of pages13
ISBN (Print)9783319318745
Publication statusPublished - 2016
Event16th International Workshop on Information Security Applications, WISA 2015 - Jeju Island, Korea, Republic of
Duration: Aug 20 2015Aug 22 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Other16th International Workshop on Information Security Applications, WISA 2015
Country/TerritoryKorea, Republic of
CityJeju Island


  • Binary field multiplication
  • Embedded processors
  • Horizontal correlation power analysis
  • Side channel attack

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


Dive into the research topics of 'Secure binary field multiplication'. Together they form a unique fingerprint.

Cite this