Quantum codes from a new construction of self-orthogonal algebraic geometry codes
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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
On general self-orthogonal matrix-product codes associated with Toeplitz matrices
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DOI: 10.1007/s12095-024-00763-6
Abstract: This paper presents four constructions of general self-orthogonal matrix-product codes associated with Toeplitz matrices. The first one relies on the dual of a known general dual-containing matrix-product code; the second one is founded on a… read more here.
Keywords: matrix product; toeplitz; self orthogonal; toeplitz matrices ... See more keywords
Self-orthogonal τ-tilting modules and tilting modules
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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
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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