MinT - Information on Result #2972118

Information on Result #2972118

Linear OOA(2²⁴¹, 67, F₂, 7, 133) (dual of [(67, 7), 228, 134]-NRT-code), using strength reduction based on linear OOA(2²⁴¹, 67, F₂, 7, 136) (dual of [(67, 7), 228, 137]-NRT-code), using

constructionÂ X applied to AG(7;F,311P) âŠ‚ AG(7;F,322P) [i] based on
1. linear OOA(2²³¹, 64, F₂, 7, 136) (dual of [(64, 7), 217, 137]-NRT-code), using algebraic-geometric NRT-code AG(7;F,311P) [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(2²²⁰, 64, F₂, 7, 125) (dual of [(64, 7), 228, 126]-NRT-code), using algebraic-geometric NRT-code AG(7;F,322P) [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.