MinT - Information on Result #2886444

Information on Result #2886444

Linear OOA(2²⁵¹, 69, F₂, 5, 142) (dual of [(69, 5), 94, 143]-NRT-code), using strength reduction based on linear OOA(2²⁵¹, 69, F₂, 5, 143) (dual of [(69, 5), 94, 144]-NRT-code), using

constructionÂ X applied to AG(5;F,176P) âŠ‚ AG(5;F,189P) [i] based on
1. linear OOA(2²³⁸, 64, F₂, 5, 143) (dual of [(64, 5), 82, 144]-NRT-code), using algebraic-geometric NRT-code AG(5;F,176P) [i] based on function field F/F₂ with g(F) = 95 and N(F) ≥ 65, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(2²²⁵, 64, F₂, 5, 130) (dual of [(64, 5), 95, 131]-NRT-code), using algebraic-geometric NRT-code AG(5;F,189P) [i] based on function field F/F₂ with g(F) = 95 and N(F) ≥ 65 (see above)
3. linear OOA(2¹³, 5, F₂, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]

Mode: 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.