MinT - Information on Result #2982994

Information on Result #2982994

Linear OOA(2¹²⁸, 44, F₂, 8, 61) (dual of [(44, 8), 224, 62]-NRT-code), using strength reduction based on linear OOA(2¹²⁸, 44, F₂, 8, 62) (dual of [(44, 8), 224, 63]-NRT-code), using

constructionÂ X applied to AG(8;F,265P) âŠ‚ AG(8;F,278P) [i] based on
1. linear OOA(2¹¹⁶, 41, F₂, 8, 62) (dual of [(41, 8), 212, 63]-NRT-code), using algebraic-geometric NRT-code AG(8;F,265P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁰³, 41, F₂, 8, 49) (dual of [(41, 8), 225, 50]-NRT-code), using algebraic-geometric NRT-code AG(8;F,278P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (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: 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.