MinT - Information on Result #2772378

Information on Result #2772378

Linear OOA(3¹⁷², 64, F₃, 4, 88) (dual of [(64, 4), 84, 89]-NRT-code), using strength reduction based on linear OOA(3¹⁷², 64, F₃, 4, 89) (dual of [(64, 4), 84, 90]-NRT-code), using

constructionÂ X applied to AG(4;F,98P) âŠ‚ AG(4;F,128P) [i] based on
1. linear OOA(3¹³⁴, 47, F₃, 4, 89) (dual of [(47, 4), 54, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,98P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁴, 47, F₃, 4, 59) (dual of [(47, 4), 84, 60]-NRT-code), using algebraic-geometric NRT-code AG(4;F,128P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³⁸, 17, F₃, 4, 29) (dual of [(17, 4), 30, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³⁸, 19, F₃, 4, 29) (dual of [(19, 4), 38, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,46P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
      - an explicitly constructive algebraic function field [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.