MinT - Information on Result #873076

Information on Result #873076

Linear OOA(32¹⁰², 53, F₃₂, 2, 95) (dual of [(53, 2), 4, 96]-NRT-code), using OOA 2-folding based on linear OA(32¹⁰², 106, F₃₂, 95) (dual of [106, 4, 96]-code), using

juxtaposition [i] based on
1. linear OA(32²⁷, 31, F₃₂, 27) (dual of [31, 4, 28]-code or 31-arc in PG(26,32)), using
  - discarding factors / shortening the dual code based on linear OA(32²⁷, 32, F₃₂, 27) (dual of [32, 5, 28]-code or 32-arc in PG(26,32)), using
    - Reedâ€“Solomon code RS(5,32) [i]
2. linear OA(32⁷¹, 75, F₃₂, 67) (dual of [75, 4, 68]-code), using
  - juxtaposition [i] based on
    1. linear OA(32²⁷, 31, F₃₂, 27) (dual of [31, 4, 28]-code or 31-arc in PG(26,32)) (see above)
    2. linear OA(32⁴⁰, 44, F₃₂, 39) (dual of [44, 4, 40]-code), using
      - extended algebraic-geometric code AG_e(F,4P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, using
        a function field by SÃ©mirat [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.