MinT - Information on Result #1058458

Information on Result #1058458

Linear OOA(2²⁰⁶, 57, F₂, 4, 101) (dual of [(57, 4), 22, 102]-NRT-code), using OOA 2-folding based on linear OOA(2²⁰⁶, 114, F₂, 2, 101) (dual of [(114, 2), 22, 102]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁰⁶, 115, F₂, 2, 101) (dual of [(115, 2), 24, 102]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹⁷, 23, F₁₆, 16) (dual of [23, 6, 17]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁷, 24, F₁₆, 16) (dual of [24, 7, 17]-code), using
      - extended algebraic-geometric code AG_e(F,7P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [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.