Year-2024

 

Recent Submissions

  • Splitting subspaces, Krylov subspaces and polynomial matrices over finite fields 
    Aggarwal, Divya; Ram, Samrith (Advisor) (IIIT-Delhi, 2024-09)
    Let V be a vector space of dimension n over the finite field Fq and T be a linear operator on V . Given an integer m that divides n, an m-dimensional subspace W of V is T-splitting if V = W ⊕ TW ⊕ · · · ⊕ Td−1W where d = ...
  • On the distribution and applications of Ramanujan sums 
    Goel, Shivani; Chaubey, Sneha (Advisor) (IIIT-Delhi, 2024-05)
    While studying the trigonometric series expansion of certain arithmetic functions, Ramanujan, in 1918, defined a sum of the nth power of the primitive qth roots of unity and denoted it as cq(n). These sums are now known ...
  • On some special classes of additive codes over finite fields 
    Sharma, Sandeep; Sharma, Anuradha (Advisor) (IIIT-Delhi, 2024-05)
    In this thesis, we define and study a new class of additive codes over finite fields, viz. multi-twisted (MT) additive codes, which is a generalization of constacyclic additive codes and an extension of MT (linear) codes ...
  • On some special classes of linear and additive codes over finite commutative chain rings 
    Yadav, Monika; Sharma, Anuradha (Advisor) (IIIT-Delhi, 2024-05)
    Self-orthogonal codes, self-dual codes, and linear codes with complementary duals (LCD codes) constitute the three most important and well-studied classes of linear codes. These codes have nice algebraic structures and are ...
  • Spatio-temporal linear stability of viscoelastic saffman-taylor flows 
    Ghosh, Dipa; Sircar, Sarthok (Advisor) (IIIT-Delhi, 2024-03)
    This thesis is about an analytical study of viscoelastic fingering that solves the problem of predicting the finger width when a Newtonian fluid (with negligible viscosity) drives a non-Newtonian (power-law) fluid. The ...