MinT - Information on Result #2795863

Information on Result #2795863

Linear OOA(2²⁰³, 55, F₂, 4, 124) (dual of [(55, 4), 17, 125]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁰², 55, F₂, 4, 124) (dual of [(55, 4), 18, 125]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁰², 55, F₂, 4, 125) (dual of [(55, 4), 18, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(64⁸, 11, F₆₄, 8) (dual of [11, 3, 9]-code or 11-arc in PG(7,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁸, 64, F₆₄, 8) (dual of [64, 56, 9]-code or 64-arc in PG(7,64)), using
      - Reedâ€“Solomon code RS(56,64) [i]
  2. linear OOA(2¹⁴, 5, F₂, 4, 13) (dual of [(5, 4), 6, 14]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,6P) [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.