MinT - Information on Result #1848024

Information on Result #1848024

OOA(32⁹⁰, 345, S₃₂, 2, 51), using discarding parts of the base based on linear OOA(64⁷⁵, 345, F₆₄, 2, 51) (dual of [(345, 2), 615, 52]-NRT-code), using

constructionÂ X applied to AG(2;F,630P) âŠ‚ AG(2;F,635P) [i] based on
1. linear OOA(64⁷¹, 341, F₆₄, 2, 51) (dual of [(341, 2), 611, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,630P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342, using
  - a curve from the manYPoints database [i]
2. linear OOA(64⁶⁶, 341, F₆₄, 2, 46) (dual of [(341, 2), 616, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,635P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342 (see above)
3. linear OOA(64⁴, 4, F₆₄, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64⁴, 64, F₆₄, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;124,64) [i]

Mode: Arbitrary.

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.