MinT - Information on Result #857599

Information on Result #857599

Linear OOA(16⁷⁰, 266, F₁₆, 2, 31) (dual of [(266, 2), 462, 32]-NRT-code), using OOA 2-folding based on linear OA(16⁷⁰, 532, F₁₆, 31) (dual of [532, 462, 32]-code), using

trace code [i] based on linear OA(256³⁵, 266, F₂₅₆, 31) (dual of [266, 231, 32]-code), using
- constructionÂ X applied to AG(F,45P) âŠ‚ AG(F,46P) [i] based on
  1. linear OA(256³¹, 257, F₂₅₆, 31) (dual of [257, 226, 32]-code or 257-arc in PG(30,256)), using algebraic-geometric code AG(F, Q+111P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using the rational function field F₂₅₆(x) [i]
  2. linear OA(256²⁶, 257, F₂₅₆, 26) (dual of [257, 231, 27]-code or 257-arc in PG(25,256)), using algebraic-geometric code AG(F,115P) with degPÂ =Â 2 [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257 (see above)
  3. linear OA(256⁴, 9, F₂₅₆, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,256)), using
    - discarding factors / shortening the dual code based on linear OA(256⁴, 256, F₂₅₆, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
      - Reedâ€“Solomon code RS(252,256) [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.