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Indranath Sengupta

  1. GB-hash : Hash Functions Using Groebner Basis.

    Mon, 11/29/2010 - 16:01 — SomNambul
    Authors: Dhananjoy Dey, Indranath Sengupta, Prasanna Raghaw Mishra1
    Subjects: Cryptography and Security
    Abstract

    In this paper we present an improved version of HF-hash, viz., GB-hash : Hash
    Functions Using Groebner Basis. In case of HF-hash, the compression function
    consists of 32 polynomials with 64 variables which were taken from the first 32
    polynomials of hidden field equations challenge-1 by forcing last 16 variables
    as 0.

  2. The Rees Algebra for Certain Monomial Curves.

    Thu, 03/04/2010 - 16:01 — SomNambul
    Authors: Debasish Mukhopadhyay, Indranath Sengupta
    Subjects: Commutative Algebra
    Abstract

    In this article, we find the equations defining the Rees algebra for certain
    Monomial Curves explicitly and use them to prove that the blowup scheme is not
    smooth. This proves a conjecture of Francia in affirmative, which says that a
    dimension one prime in a regular local ring is a complete intersection if it
    has a smooth blowup.

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