MinT - Information on Result #1848023

Information on Result #1848023

OOA(32⁸⁹, 344, S₃₂, 2, 51), using discarding parts of the base based on linear OOA(64⁷⁴, 344, F₆₄, 2, 51) (dual of [(344, 2), 614, 52]-NRT-code), using

constructionÂ X applied to AG(2;F,630P) âŠ‚ AG(2;F,634P) [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(64⁶⁷, 341, F₆₄, 2, 47) (dual of [(341, 2), 615, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,634P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342 (see above)
3. linear OOA(64³, 3, F₆₄, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64³, 64, F₆₄, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;125,64) [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.