MinT - Information on Result #1058921

Information on Result #1058921

Linear OOA(2²⁵³, 69, F₂, 4, 122) (dual of [(69, 4), 23, 123]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵³, 138, F₂, 2, 122) (dual of [(138, 2), 23, 123]-NRT-code), using

3 step truncation [i] based on linear OOA(2²⁵⁶, 140, F₂, 2, 125) (dual of [(140, 2), 24, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16²², 28, F₁₆, 20) (dual of [28, 6, 21]-code), using
    - discarding factors / shortening the dual code based on linear OA(16²², 33, F₁₆, 20) (dual of [33, 11, 21]-code), using
      - extended algebraic-geometric code AG_e(F,12P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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.