MinT - Information on Result #2947069

Information on Result #2947069

Linear OOA(2¹⁴⁶, 23, F₂, 7, 114) (dual of [(23, 7), 15, 115]-NRT-code), using strength reduction based on linear OOA(2¹⁴⁶, 23, F₂, 7, 115) (dual of [(23, 7), 15, 116]-NRT-code), using

constructionÂ X applied to AG(7;F,24P) âŠ‚ AG(7;F,35P) [i] based on
1. linear OOA(2¹³⁶, 20, F₂, 7, 115) (dual of [(20, 7), 4, 116]-NRT-code), using algebraic-geometric NRT-code AG(7;F,24P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹²⁵, 20, F₂, 7, 104) (dual of [(20, 7), 15, 105]-NRT-code), using algebraic-geometric NRT-code AG(7;F,35P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21 (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.