MinT - Information on Result #1137055

Information on Result #1137055

Linear OOA(2²²³, 42, F₂, 6, 117) (dual of [(42, 6), 29, 118]-NRT-code), using OOA 2-folding based on linear OOA(2²²³, 84, F₂, 3, 117) (dual of [(84, 3), 29, 118]-NRT-code), using

2 step truncation [i] based on linear OOA(2²²⁵, 85, F₂, 3, 119) (dual of [(85, 3), 30, 120]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(32¹¹, 17, F₃₂, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,32)), using
    - discarding factors / shortening the dual code based on linear OA(32¹¹, 32, F₃₂, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
      - Reedâ€“Solomon code RS(21,32) [i]
  2. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,5P) [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.