MinT - Information on Result #1833130

Information on Result #1833130

OOA(32¹⁰⁷, 183, S₃₂, 2, 75), using discarding parts of the base based on linear OOA(64⁸⁹, 183, F₆₄, 2, 75) (dual of [(183, 2), 277, 76]-NRT-code), using

constructionÂ X applied to AG(2;F,276P) âŠ‚ AG(2;F,284P) [i] based on
1. linear OOA(64⁸², 176, F₆₄, 2, 75) (dual of [(176, 2), 270, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,276P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [i]
2. linear OOA(64⁷⁴, 176, F₆₄, 2, 67) (dual of [(176, 2), 278, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,284P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OOA(64⁷, 7, F₆₄, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64⁷, 64, F₆₄, 2, 7) (dual of [(64, 2), 121, 8]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;121,64) [i]

Mode: Constructive.

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.