Paper 2016/218
Semantic Security and Key-Privacy With Random Split of St-Gen Codes
Danilo Gligoroski and Simona Samardjiska
Abstract
Recently we have defined Staircase-Generator codes (St-Gen codes) and their variant with a random split of the generator matrix of the codes. One unique property of these codes is that they work with arbitrary error sets. In this paper we give a brief overview of St-Gen codes and the list decoding algorithm for their decoding. We also analyze the semantic security against chosen plaintext attack (IND-CPA) and key-privacy i.e. indistinguishability of public keys under chosen plaintext attack (IK-CPA) of the encryption scheme with random split of St-Gen codes. In a similar manner as it was done by Nojima et al., and later by Yamakawa et al., we show that padding the plaintext with a random bit-string provides IND-CPA and IK-CPA in the standard model. The difference with McEliece scheme is that with our scheme the length of the padded random string is significantly shorter.
Note: Minor typos are corrected
Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Preprint. MINOR revision.
- Keywords
- Public Key CryptographyCode Based CryptosystemsSemantic SecurityKey-Privacy
- Contact author(s)
- danilog @ item ntnu no
- History
- 2016-03-18: revised
- 2016-02-29: received
- See all versions
- Short URL
- https://ia.cr/2016/218
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2016/218, author = {Danilo Gligoroski and Simona Samardjiska}, title = {Semantic Security and Key-Privacy With Random Split of St-Gen Codes}, howpublished = {Cryptology {ePrint} Archive, Paper 2016/218}, year = {2016}, url = {https://eprint.iacr.org/2016/218} }