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 ...
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 ...
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 ...
This thesis consists of some interesting combinatorial problems on matrix poly- nomials over finite fields. Using results from control theory, we give a proof of a result of Lieb, Jordan and Helmke (2016) which solves the ...
In this thesis, we have explored the temporal and spatiotemporal stability analyses offree shear, viscoelastic flows in the limit of low to moderate Reynolds number (Re) and Weissenberg number (We). The description of the ...
Nowadays error-correcting codes are widely used in communication systems, returning pictures from deep space, designing registration numbers, and storage of data in memory systems. An important family of error-correcting ...
Constructing codes that are easy to encode and decode, can detect and correct many errors and have a sufficiently large number of codewords is the primary aim of coding theory. Several metrics (e.g. Hamming metric, Lee ...