MinT - Information on Result #2951189

Information on Result #2951189

Linear OOA(2²⁰⁴, 44, F₂, 7, 138) (dual of [(44, 7), 104, 139]-NRT-code), using strength reduction based on linear OOA(2²⁰⁴, 44, F₂, 7, 140) (dual of [(44, 7), 104, 141]-NRT-code), using

constructionÂ X applied to AG(7;F,146P) âŠ‚ AG(7;F,157P) [i] based on
1. linear OOA(2¹⁹⁴, 41, F₂, 7, 140) (dual of [(41, 7), 93, 141]-NRT-code), using algebraic-geometric NRT-code AG(7;F,146P) [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(2¹⁸³, 41, F₂, 7, 129) (dual of [(41, 7), 104, 130]-NRT-code), using algebraic-geometric NRT-code AG(7;F,157P) [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.