MinT - Information on Result #3008506

Information on Result #3008506

Linear OOA(2²²¹, 67, F₂, 8, 112) (dual of [(67, 8), 315, 113]-NRT-code), using strength reduction based on linear OOA(2²²¹, 67, F₂, 8, 114) (dual of [(67, 8), 315, 115]-NRT-code), using

constructionÂ X applied to AG(8;F,397P) âŠ‚ AG(8;F,410P) [i] based on
1. linear OOA(2²⁰⁹, 64, F₂, 8, 114) (dual of [(64, 8), 303, 115]-NRT-code), using algebraic-geometric NRT-code AG(8;F,397P) [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(2¹⁹⁶, 64, F₂, 8, 101) (dual of [(64, 8), 316, 102]-NRT-code), using algebraic-geometric NRT-code AG(8;F,410P) [i] based on function field F/F₂ with g(F) = 95 and N(F) ≥ 65 (see above)
3. linear OOA(2¹², 3, F₂, 8, 12) (dual of [(3, 8), 12, 13]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(8;12,2) [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.