MinT - Information on Result #1154430

Information on Result #1154430

Linear OOA(2¹⁸⁶, 28, F₂, 7, 98) (dual of [(28, 7), 10, 99]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁸⁶, 56, F₂, 4, 98) (dual of [(56, 4), 38, 99]-NRT-code), using

constructionÂ X applied to AG(4;F,46P) âŠ‚ AG(4;F,54P) [i] based on
1. linear OOA(2¹⁶⁸, 48, F₂, 4, 99) (dual of [(48, 4), 24, 100]-NRT-code), using algebraic-geometric NRT-code AG(4;F,46P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁵², 48, F₂, 4, 83) (dual of [(48, 4), 40, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,54P) with degPÂ =Â 2 [i] based on function field F/F₂ with g(F) = 69 and N(F) ≥ 48 (see above)
3. linear OOA(2¹⁸, 8, F₂, 4, 14) (dual of [(8, 4), 14, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,17P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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.