MinT - Information on Result #2650493

Information on Result #2650493

Linear OOA(128⁶⁸, 296, F₁₂₈, 3, 45) (dual of [(296, 3), 820, 46]-NRT-code), using strength reduction based on linear OOA(128⁶⁸, 296, F₁₂₈, 3, 46) (dual of [(296, 3), 820, 47]-NRT-code), using

constructionÂ X applied to AG(3;F,814P) âŠ‚ AG(3;F,828P) [i] based on
1. linear OOA(128⁵⁵, 287, F₁₂₈, 3, 46) (dual of [(287, 3), 806, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,814P) [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288, using
  - a function field by SÃ©mirat [i]
2. linear OOA(128⁴¹, 287, F₁₂₈, 3, 32) (dual of [(287, 3), 820, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,828P) [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288 (see above)
3. linear OOA(128¹³, 9, F₁₂₈, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(128¹³, 128, F₁₂₈, 3, 13) (dual of [(128, 3), 371, 14]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;371,128) [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.