Constant phase bit optimal protocols for perfectly reliable and secure message transmission

  • Authors:
  • Arpita Patra;Ashish Choudhary;K. Srinathan;C. Pandu Rangan

  • Affiliations:
  • Dept of Computer Science and Engineering, IIT Madras, Chennai, India;Dept of Computer Science and Engineering, IIT Madras, Chennai, India;International Institute of Information Technology, Hyderabad, India;Dept of Computer Science and Engineering, IIT Madras, Chennai, India

  • Venue:
  • INDOCRYPT'06 Proceedings of the 7th international conference on Cryptology in India
  • Year:
  • 2006

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Abstract

In this paper, we study the problem of perfectly reliable message transmission(PRMT) and perfectly secure message transmission(PSMT) between a sender S and a receiver R in a synchronous network, where S and R are connected by n vertex disjoint paths called wires, each of which facilitates bidirectional communication. We assume that atmost t of these wires are under the control of adversary. We present two-phase-bit optimal PRMT protocol considering Byzantine adversary as well as mixed adversary. We also present a three phase PRMT protocol which reliably sends a message containing l field elements by overall communicating O(l) field elements. This is a significant improvement over the PRMT protocol proposed in [10] to achieve the same task which takes log(t) phases. We also present a three-phase-bit-optimal PSMT protocol which securely sends a message consisting of t field elements by communicating O(t2) field elements.