MinT - Information on Result #974024

Information on Result #974024

Linear OOA(5⁷⁶, 38, F₅, 3, 40) (dual of [(38, 3), 38, 41]-NRT-code), using OOA 2-folding based on linear OOA(5⁷⁶, 76, F₅, 2, 40) (dual of [(76, 2), 76, 41]-NRT-code), using

constructionÂ X applied to AG(2;F,101P) âŠ‚ AG(2;F,107P) [i] based on
1. linear OOA(5⁷¹, 71, F₅, 2, 40) (dual of [(71, 2), 71, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,101P) [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(5⁶⁵, 71, F₅, 2, 34) (dual of [(71, 2), 77, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,107P) [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.