A New Technique in Rank Metric Code-Based Encryption†
Temasek Laboratories, National University of Singapore, T-Lab Building, 5A, Engineering Drive 1, #09-02, Singapore 117411, Singapore
This paper is an extended version of our paper published in 23rd Australasian Conference on Information Security and Privacy (ACISP 2018).
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Received: 29 August 2018 / Revised: 7 October 2018 / Accepted: 11 October 2018 / Published: 15 October 2018
We propose a rank metric codes based encryption based on the hard problem of rank syndrome decoding problem. We propose a new encryption with a public key matrix by considering the adding of a random distortion matrix over
of full column rank n
. We show that IND-CPA security is achievable for our encryption under assumption of the Decisional Rank Syndrome Decoding problem. Furthermore, we also prove some bounds for the number of matrices of a fixed rank with entries over a finite field. Our proposal allows the choice of the error terms with rank up to
, where r
is the error-correcting capability of a code. Our encryption based on Gabidulin codes has public key size of
KB, which is 82 times smaller than the public key size of McEliece Cryptosystem based on Goppa codes. For similar post-quantum security level of
bits, our encryption scheme has a smaller public key size than the key size suggested by LOI17 Encryption.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Lau, T.S.C.; Tan, C.H. A New Technique in Rank Metric Code-Based Encryption. Cryptography 2018, 2, 32.
Lau TSC, Tan CH. A New Technique in Rank Metric Code-Based Encryption. Cryptography. 2018; 2(4):32.
Lau, Terry S.C.; Tan, Chik H. 2018. "A New Technique in Rank Metric Code-Based Encryption." Cryptography 2, no. 4: 32.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
Multiple requests from the same IP address are counted as one view.