MinT - Information on Result #1064811

Information on Result #1064811

Linear OOA(3²⁴⁶, 147, F₃, 4, 68) (dual of [(147, 4), 342, 69]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴⁶, 294, F₃, 2, 68) (dual of [(294, 2), 342, 69]-NRT-code), using

trace code [i] based on linear OOA(27⁸², 98, F₂₇, 2, 68) (dual of [(98, 2), 114, 69]-NRT-code), using
- constructionÂ X applied to AG(2;F,121P) âŠ‚ AG(2;F,125P) [i] based on
  1. linear OOA(27⁷⁹, 95, F₂₇, 2, 68) (dual of [(95, 2), 111, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,121P) [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96, using
    - an explicitly constructive algebraic function field [i]
  2. linear OOA(27⁷⁵, 95, F₂₇, 2, 64) (dual of [(95, 2), 115, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,125P) [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96 (see above)
  3. linear OOA(27³, 3, F₂₇, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(27³, 27, F₂₇, 2, 3) (dual of [(27, 2), 51, 4]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;51,27) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.