Published January 1, 2025 | Version v1
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Skew <i>G</i>-codes over F<sub>4</sub>[<i>u</i>,<i>v</i>]/⟨<i>u</i><SUP>2</SUP>,<i>v</i><SUP>2</SUP>,<i>uv</i>-<i>vu</i>⟩ and new binary entanglement-assisted quantum error-correcting codes

  • 1. Tarsus Univ, Fac Engn, Dept Nat & Math Sci, TR-33400 Tarsus, Turkiye
  • 2. Tarsus Univ, Fac Engn, Dept Comp Engn, TR-33400 Tarsus, Turkiye

Description

In this paper, we explore the algebraic structure of skew-G codes over the ring A=F-4[u,v]/< u(2),v(2),uv-vu >. In addition to that, we bridge theoretical results with practical applications in quantum computing. More specifically, we derive a significant number of new binary EAQEC codes from the gray images of the skew-G codes over A according to Grassl's codetable [14].

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