MinT - Information on Result #2946607

Information on Result #2946607

Linear OOA(2¹³⁸, 44, F₂, 7, 73) (dual of [(44, 7), 170, 74]-NRT-code), using strength reduction based on linear OOA(2¹³⁸, 44, F₂, 7, 74) (dual of [(44, 7), 170, 75]-NRT-code), using

constructionÂ X applied to AG(7;F,212P) âŠ‚ AG(7;F,223P) [i] based on
1. linear OOA(2¹²⁸, 41, F₂, 7, 74) (dual of [(41, 7), 159, 75]-NRT-code), using algebraic-geometric NRT-code AG(7;F,212P) [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(2¹¹⁷, 41, F₂, 7, 63) (dual of [(41, 7), 170, 64]-NRT-code), using algebraic-geometric NRT-code AG(7;F,223P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (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: 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.