P Vijay Kumar
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Research Highlights

  1. NavIC: Designing the Interleaved Z4-Linear Sequence Family that has been incorporated by ISRO as the spreading code family into the L1 band standard positioning service (civilian) signal of NavIC (Navigation with Indian Constellation).
    Collaborating scientists from ISRO: Dr Dileep Dharmappa of ISTRAC and Ms Sugandh Mishra of SAC.
    (click here for more information)

  2. 3G-WCDMA: Co-author of the paper presenting the Z4 Sequence Family S(2) that was incorporated by 3GPP as the uplink short scrambling code of the 3G-WCDMA global, cellular communication standard.
    (click here for more information)

  3. Solving a Coding Mystery: Co-author of the paper settling the mystery surrounding the binary, nonlinear Kerdock and Preparata codes that behaved in two key respects as if they were a pair of dual, linear codes. The authors showed the two codes to be the projections under a simple nonlinear map of a pair of dual and linear codes over the quaternary alphabet Z4. This paper was awarded the 1995 IEEE Information Theory Prize Paper Award.
    (click here for more information)

  4. Contributions to Coding for Distributed Storage:

    1. Co-author of a paper that went on to receive the IEEE Data Storage Best Student Paper/Best Paper Award of 2011/2012

    2. Co-author of a paper presenting the Clay code that was subsequently incorporated as a plugin into the open-source, Ceph storage platform.

    3. Co-author of a well-received monograph on the topic of codes for distributed storage, appearing in Elsevier's Foundations and Trends in Communications and Information Theory.

      4. Reference:

          1. K. V. Rashmi, Nihar B. Shah, and P. Vijay Kumar,"Optimal Exact-Regenerating Codes for Distributed Storage at the MSR and MBR Points via a Product-Matrix Construction",IEEE Transactions on Information Theory, Aug. 2011


          2. M. Vajha, V. Ramkumar, B. Puranik, G. Kini, E. Lobo, B. Sasidharan, P. V. Kumar, A. Barg, M. Ye, S. Narayanamurthy, S. Hussain, and S. Nandi, "Clay Codes: Moulding MDS Codes to Yield an MSR Code", Presented at the 16th USENIX Conference on File and Storage Technologies (FAST), Feb. 2018, Oakland, CA.


          3. Link to Ceph Clay Code Plugin

  5. Space-Time Codes Achieving the DMT: Multiple transit and multiple receive antennas can be used to either increase rate of information transmission by providing additional spatial channels or else, provided increased reliability through the presence of path diversity. When one attempts to do both, one runs into the diversity-multiplexing gain tradeoff (DMT). Our team was the first to explicitly construct signals known as space-time codes that explicitly achieve the DMT.
    (click here for more information)