Cryptology ePrint Archive: Report 2018/1133

A Public Key Exchange Cryptosystem Based on Ideal Secrecy

Vamshi Krishna Kammadanam and Virendra R. Sule and Yi Hong

Abstract: This paper proposes two closely related asymmetric key (or a public key) schemes for key exchange whose security is based on the notion of ideal secrecy. In the first scheme, the private key consists of two singular matrices, a polar code matrix and a random permutation matrix all over the binary field. The sender transmits addition of two messages over a public channel using the public key of the receiver. The receiver can decrypt individual messages using the private key. An adversary, without the knowledge of the private key, can only compute multiple equiprobable solutions in a space of sufficiently large size related to the dimension of the kernel of the singular matrices. This achieves security in the sense of ideal secrecy. The next scheme extends over general matrices. The two schemes are cryptanalyzed against various attacks.

Category / Keywords: public-key cryptography / one way function, ideal secrecy, asymmetric key cryptography

Date: received 20 Nov 2018

Contact author: vrs at ee iitb ac in

Available format(s): PDF | BibTeX Citation

Note: Submitted on 21th Nov, 2018. Number of pages 21

Version: 20181129:025658 (All versions of this report)

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