MinT - Information on Result #1169357

Information on Result #1169357

Linear OOA(2¹⁸⁷, 26, F₂, 8, 110) (dual of [(26, 8), 21, 111]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁸⁷, 52, F₂, 4, 110) (dual of [(52, 4), 21, 111]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,59P) [i] based on
1. linear OOA(2¹²⁷, 32, F₂, 4, 127) (dual of [(32, 4), 1, 128]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [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(2¹⁰⁷, 32, F₂, 4, 68) (dual of [(32, 4), 21, 69]-NRT-code), using algebraic-geometric NRT-code AG(4;F,59P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2⁶⁰, 20, F₂, 4, 41) (dual of [(20, 4), 20, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,38P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.