Quantum codes from a new construction of self-orthogonal algebraic geometry codes
Sign Up to like & getrecommendations! Published in 2020 at "Quantum Information Processing"
DOI: 10.1007/s11128-020-2616-8
Abstract: We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes. These results… read more here.
Keywords: geometry codes; self orthogonal; algebraic geometry; quantum codes ... See more keywords
Self-orthogonal τ-tilting modules and tilting modules
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2021.106860
Abstract: Abstract Let Λ be an Artin algebra and T a τ-tilting Λ-module. We prove that T is a tilting module if and only if Ext Λ i ( T , Fac T ) = 0… read more here.
Keywords: self orthogonal; tilting module; tilting modules; orthogonal tilting ... See more keywords
Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2020.2982381
Abstract: Linear complementary dual (LCD) codes and self-orthogonal codes have attracted wide attention in recent years for some practical applications. Hence, in this letter, we use simplicial complexes for construction of an infinite family of binary… read more here.
Keywords: codes self; self orthogonal; lcd codes; binary lcd ... See more keywords