MinT - Information on Result #1167948

Information on Result #1167948

Linear OOA(2¹¹⁵, 19, F₂, 8, 63) (dual of [(19, 8), 37, 64]-NRT-code), using OOA 2-folding based on linear OOA(2¹¹⁵, 38, F₂, 4, 63) (dual of [(38, 4), 37, 64]-NRT-code), using

constructionÂ X applied to AG(4;F,64P) âŠ‚ AG(4;F,76P) [i] based on
1. linear OOA(2¹⁰², 32, F₂, 4, 63) (dual of [(32, 4), 26, 64]-NRT-code), using algebraic-geometric NRT-code AG(4;F,64P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁹⁰, 32, F₂, 4, 51) (dual of [(32, 4), 38, 52]-NRT-code), using algebraic-geometric NRT-code AG(4;F,76P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2¹³, 6, F₂, 4, 11) (dual of [(6, 4), 11, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [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.