MinT - Information on Result #1169865

Information on Result #1169865

Linear OOA(2²⁰⁹, 28, F₂, 8, 134) (dual of [(28, 8), 15, 135]-NRT-code), using OOA 2-folding based on linear OOA(2²⁰⁹, 56, F₂, 4, 134) (dual of [(56, 4), 15, 135]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(2²⁰⁵, 55, F₂, 4, 134) (dual of [(55, 4), 15, 135]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(32⁸, 11, F₃₂, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,32)), using
    - discarding factors / shortening the dual code based on linear OA(32⁸, 32, F₃₂, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
      - Reedâ€“Solomon code RS(24,32) [i]
  2. linear OOA(2¹⁵, 5, F₂, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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.