MinT - Information on Result #974117

Information on Result #974117

Linear OOA(5⁷⁸, 38, F₅, 3, 42) (dual of [(38, 3), 36, 43]-NRT-code), using OOA 2-folding based on linear OOA(5⁷⁸, 76, F₅, 2, 42) (dual of [(76, 2), 74, 43]-NRT-code), using

constructionÂ X applied to AG(2;F,99P) âŠ‚ AG(2;F,105P) [i] based on
1. linear OOA(5⁷³, 71, F₅, 2, 42) (dual of [(71, 2), 69, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,99P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁶⁷, 71, F₅, 2, 36) (dual of [(71, 2), 75, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (see above)
3. linear OOA(5⁵, 5, F₅, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;5,5) [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.