MinT - Information on Result #2970885

Information on Result #2970885

Linear OOA(2²¹¹, 67, F₂, 7, 103) (dual of [(67, 7), 258, 104]-NRT-code), using strength reduction based on linear OOA(2²¹¹, 67, F₂, 7, 106) (dual of [(67, 7), 258, 107]-NRT-code), using

constructionÂ X applied to AG(7;F,341P) âŠ‚ AG(7;F,352P) [i] based on
1. linear OOA(2²⁰¹, 64, F₂, 7, 106) (dual of [(64, 7), 247, 107]-NRT-code), using algebraic-geometric NRT-code AG(7;F,341P) [i] based on function field F/F₂ with g(F) = 95 and N(F) ≥ 65, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2¹⁹⁰, 64, F₂, 7, 95) (dual of [(64, 7), 258, 96]-NRT-code), using algebraic-geometric NRT-code AG(7;F,352P) [i] based on function field F/F₂ with g(F) = 95 and N(F) ≥ 65 (see above)
3. linear OOA(2¹⁰, 3, F₂, 7, 10) (dual of [(3, 7), 11, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(7;11,2) [i]

Mode: 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.