MinT - Information on Result #1061295

Information on Result #1061295

Linear OOA(3⁴⁶, 16, F₃, 4, 26) (dual of [(16, 4), 18, 27]-NRT-code), using OOA 2-folding based on linear OOA(3⁴⁶, 32, F₃, 2, 26) (dual of [(32, 2), 18, 27]-NRT-code), using

constructionÂ X applied to AG(2;F,27P) âŠ‚ AG(2;F,32P) [i] based on
1. linear OOA(3⁴¹, 27, F₃, 2, 26) (dual of [(27, 2), 13, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,27P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3³⁶, 27, F₃, 2, 21) (dual of [(27, 2), 18, 22]-NRT-code), using algebraic-geometric NRT-code AG(2;F,32P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3⁵, 5, F₃, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(3⁵, 10, F₃, 4) (dual of [10, 5, 5]-code), using
    - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
      - Golay code G(3) [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.