MinT - Information on Result #1055167

Information on Result #1055167

Linear OOA(2¹⁰⁰, 30, F₂, 4, 47) (dual of [(30, 4), 20, 48]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁰⁰, 60, F₂, 2, 47) (dual of [(60, 2), 20, 48]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16⁷, 12, F₁₆, 7) (dual of [12, 5, 8]-code or 12-arc in PG(6,16)), using
  - discarding factors / shortening the dual code based on linear OA(16⁷, 16, F₁₆, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
    - Reedâ€“Solomon code RS(9,16) [i]
2. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.