MinT - Information on Result #1168208

Information on Result #1168208

Linear OOA(2¹²⁴, 19, F₂, 8, 72) (dual of [(19, 8), 28, 73]-NRT-code), using OOA 2-folding based on linear OOA(2¹²⁴, 38, F₂, 4, 72) (dual of [(38, 4), 28, 73]-NRT-code), using

constructionÂ X applied to AG(4;F,55P) âŠ‚ AG(4;F,67P) [i] based on
1. linear OOA(2¹¹¹, 32, F₂, 4, 72) (dual of [(32, 4), 17, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) [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(2⁹⁹, 32, F₂, 4, 60) (dual of [(32, 4), 29, 61]-NRT-code), using algebraic-geometric NRT-code AG(4;F,67P) [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.