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The hull of linear codes have promising utilization in coding theory and quantum coding theory. In this paper, we study the hull of generalized Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields with respect to the Euclidean inner product. Several infinite families of MDS codes with arbitrary dimensional hull are presented. As an application, using these MDS codes with arbitrary dimensional hull, we construct several new infinite families of entanglement-assisted quantum error-correcting codes with flexible parameters.

Human flap endonuclease 1 (hFEN1) is instrumental in DNA replication and repair. It is able to cleave the 5′ single-stranded protrusion (also known as 5′ flap) resulting from strand displacement reactions. In light of its crucial functions, hFEN1 is now deemed as a nontrivial target in the DNA damage response system for anticancer drug development. Herein, we report that myricetin and some natural flavonoids are able to inhibit hFEN1. Structure–activity relationship, inhibitory mechanisms, molecular docking, and cancer cell-based assays have been performed. Our original findings expand the activity of flavonoids and may pave the way for flavonoid-assisted targeted cancer therapy.

Perfect state transfer (PST) has great significance due to its applications in quantum information processing and quantum computation. In this paper we present a characterization on connected simple Cayley graph Γ = Cay(G, S) having PST. We show that many previous results on periodicity and existence of PST of circulant graphs (where the underlying group G is cyclic) and cubelike graphs (G = (F n 2 , +)) can be derived or generalized to arbitrary abelian case in unified and more simple ways from our characterization. We also get several new results including answers on some problems raised before.= {t > 0 : Γ has PST between u and v at time t}.