Linear complementary dual codes are linear codes that intersect with their dual trivially.
Quasi-cyclic codes that are complementary dual are characterized and studied by using …

We study unfrustrated spin Hamiltonians that consist of commuting tensor products of Pauli
matrices. Assuming translation-invariance, a family of Hamiltonians that belong to the same …

We investigate the entanglement-renormalization group flows of translation-invariant
topological stabilizer models in three dimensions. Fracton models are observed to bifurcate …

This thesis addresses whether it is possible to build a robust memory device for quantum
information. Many schemes for fault-tolerant quantum information processing have been …

The security parameter for a linear complementary pair (C, D) of codes is defined to be the
minimum of the minimum distances d (C) and d (D⊥). Recently, Carlet et al. showed that if C …

Following Jensen's work from 1985, a quasi-cyclic code can be written as a direct sum of
concatenated codes, where the inner codes are minimal cyclic codes and the outer codes …

We consider a q-ary quasi-cyclic code C of length mℓ and index ℓ, where both m and ℓ are
relatively prime to q. If the constituents of C are cyclic codes, we show that C can also be …

Let F qk denote the finite field with qk elements. In this work, we study the number of F q k-
rational points of the affine hypersurfaces given by yq− y= a 1 x 1 d 1+…+ asxsd s+ b. We …

Abstract n-Dimension quasi-twisted (QT) codes are generalizations of 2-dimension QT
codes and n-dimension quasi-cyclic codes. In this paper, we study some structural …

This paper is devoted to studying two main problems: 1) computing the apparent distance of
an Abelian code and 2) giving a notion of Bose, Ray-Chaudhuri, Hocquenghem (BCH) …