MinT - Information on Result #1049524

Information on Result #1049524

Linear OOA(3¹⁷², 62, F₃, 3, 119) (dual of [(62, 3), 14, 120]-NRT-code), using juxtaposition based on

linear OOA(3⁷⁰, 28, F₃, 3, 55) (dual of [(28, 3), 14, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,28P) [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(3⁸⁸, 34, F₃, 3, 63) (dual of [(34, 3), 14, 64]-NRT-code), using
- constructionÂ X applied to AG(3;F,29P) âŠ‚ AG(3;F,34P) [i] based on
  1. linear OOA(3⁸⁴, 31, F₃, 3, 63) (dual of [(31, 3), 9, 64]-NRT-code), using algebraic-geometric NRT-code AG(3;F,29P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
    - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁷⁹, 31, F₃, 3, 58) (dual of [(31, 3), 14, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,34P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32 (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.

None.

None.