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Erschienen in:
2005 | OriginalPaper | Buchkapitel
MaTRU: A New NTRU-Based Cryptosystem
verfasst von : Michael Coglianese, Bok-Min Goi
Erschienen in: Progress in Cryptology - INDOCRYPT 2005
Verlag: Springer Berlin Heidelberg
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In this paper, we propose a new variant of the NTRU public key cryptosystem – the MaTRU cryptosystem. MaTRU works under the same general principles as the NTRU cryptosystem, except that it operates in a different ring with a different linear transformation for encryption and decryption. In particular, it operates in the ring of
k
by
k
matrices of polynomials in
R
= ℤ[
X
]/(
X
n
− 1), whereas NTRU operates in the ring ℤ[
X
]/(
X
n
− 1). Note that an instance of MaTRU has the same number of bits per message as an instance of NTRU when
nk
2
=
N
. The improved efficiency of the linear transformation in MaTRU leads to respectable speed improvements by a factor of
O
(
k
) over NTRU at the cost of a somewhat larger public key.