MinT - Information on Result #1049541

Information on Result #1049541

Linear OOA(3¹⁶⁶, 58, F₃, 3, 125) (dual of [(58, 3), 8, 126]-NRT-code), using juxtaposition based on

linear OOA(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁸², 30, F₃, 3, 63) (dual of [(30, 3), 8, 64]-NRT-code), using
- constructionÂ X applied to AG(3;F,17P) âŠ‚ AG(3;F,22P) [i] based on
  1. linear OOA(3⁷⁸, 27, F₃, 3, 63) (dual of [(27, 3), 3, 64]-NRT-code), using algebraic-geometric NRT-code AG(3;F,17P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  2. linear OOA(3⁷³, 27, F₃, 3, 58) (dual of [(27, 3), 8, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(3⁴, 3, F₃, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;5,3) [i]

Mode: Constructive and linear.

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