MinT - Information on Result #940208

Information on Result #940208

Linear OOA(5¹⁵⁰, 406, F₅, 2, 46) (dual of [(406, 2), 662, 47]-NRT-code), using trace code based on linear OOA(25⁷⁵, 203, F₂₅, 2, 46) (dual of [(203, 2), 331, 47]-NRT-code), using

constructionÂ X applied to AG(2;F,351P) âŠ‚ AG(2;F,356P) [i] based on
1. linear OOA(25⁷¹, 199, F₂₅, 2, 46) (dual of [(199, 2), 327, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,351P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200, using
  - a function field by GarcÃa and Quoos [i]
2. linear OOA(25⁶⁶, 199, F₂₅, 2, 41) (dual of [(199, 2), 332, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,356P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200 (see above)
3. linear OOA(25⁴, 4, F₂₅, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(25⁴, 25, F₂₅, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;46,25) [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.