MinT - Information on Result #2908571

Information on Result #2908571

Linear OOA(2¹⁴³, 44, F₂, 6, 79) (dual of [(44, 6), 121, 80]-NRT-code), using strength reduction based on linear OOA(2¹⁴³, 44, F₂, 6, 80) (dual of [(44, 6), 121, 81]-NRT-code), using

constructionÂ X applied to AG(6;F,165P) âŠ‚ AG(6;F,175P) [i] based on
1. linear OOA(2¹³⁴, 41, F₂, 6, 80) (dual of [(41, 6), 112, 81]-NRT-code), using algebraic-geometric NRT-code AG(6;F,165P) [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(2¹²⁴, 41, F₂, 6, 70) (dual of [(41, 6), 122, 71]-NRT-code), using algebraic-geometric NRT-code AG(6;F,175P) [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.