MinT - Information on Result #2914294

Information on Result #2914294

Linear OOA(2²²⁹, 44, F₂, 6, 165) (dual of [(44, 6), 35, 166]-NRT-code), using strength reduction based on linear OOA(2²²⁹, 44, F₂, 6, 166) (dual of [(44, 6), 35, 167]-NRT-code), using

constructionÂ X applied to AG(6;F,79P) âŠ‚ AG(6;F,89P) [i] based on
1. linear OOA(2²²⁰, 41, F₂, 6, 166) (dual of [(41, 6), 26, 167]-NRT-code), using algebraic-geometric NRT-code AG(6;F,79P) [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(2²¹⁰, 41, F₂, 6, 156) (dual of [(41, 6), 36, 157]-NRT-code), using algebraic-geometric NRT-code AG(6;F,89P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2⁹, 3, F₂, 6, 9) (dual of [(3, 6), 9, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(6;9,2) [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.