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Browsing BITS Faculty Publications by Author "Keskar, Pradipkumar H."

Browsing BITS Faculty Publications by Author "Keskar, Pradipkumar H."

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  • Algebraic methods in difference sets and bent functions 
    Keskar, Pradipkumar H. (JACODESMATH, 2021)
    We provide some applications of a polynomial criterion for difference sets. These include counting the difference sets with specified parameters in terms of Hilbert functions, in particular a count of bent functions. We ...
  • Descent principle in modular Galois theory 
    Keskar, Pradipkumar H. (IAS, 2001-05)
    We propound a descent principle by which previously constructed equations over GF.qn/.X/ may be deformed to have incarnations over GF.q/.X/ without changing their Galois groups. Currently this is achieved by starting ...
  • Patterson-Wiedemann Construction Revisited 
    Keskar, Pradipkumar H. (Elsevier, 2003-05)
    In 1983, Patterson and Wiedemann constructed Boolean functions on n = 15 input variables having nonlinearity strictly greater than 2n−1 − 2n−1/2. Construction of Boolean functions on odd number of variables with such high ...
  • Polynomial Criterion for Abelian Difference Sets 
    Keskar, Pradipkumar H. (Springer, 2020-03)
    Difference sets are subsets of a group satisfying certain combinatorial property with respect to the group operation. They can be characterized using an equality in the group ring of the corresponding group. In this paper, ...

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