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Paper 2019/229

XOR-counts and lightweight multiplication with fixed elements in binary finite fields

Lukas Kölsch

Abstract

XOR-metrics measure the efficiency of certain arithmetic operations in binary finite fields. We prove some new results about two different XOR-metrics that have been used in the past. In particular, we disprove an existing conjecture about those XOR-metrics. We consider implementations of multiplication with one fixed element in a binary finite field. Here we achieve a complete characterization of all elements whose multiplication matrix can be implemented using exactly 2 XOR-operations. Further, we provide new results and examples in more general cases, showing that significant improvements in implementations are possible.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
A minor revision of an IACR publication in EUROCRYPT 2019
Keywords
Lightweight cryptographyLinear layerXOR-countMultiplicationFinite fields
Contact author(s)
lukas koelsch @ uni-rostock de
History
2019-03-06: revised
2019-02-28: received
See all versions
Short URL
https://ia.cr/2019/229
License
Creative Commons Attribution
CC BY
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