MinT - Information on Result #2456525

Information on Result #2456525

Linear OOA(2¹⁰², 55, F₂, 2, 58) (dual of [(55, 2), 8, 59]-NRT-code), using 2 step truncation based on linear OOA(2¹⁰⁴, 56, F₂, 2, 60) (dual of [(56, 2), 8, 61]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁸, 8, F₂, 2, 5) (dual of [(8, 2), 8, 6]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2⁸, 10, F₂, 2, 5) (dual of [(10, 2), 12, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 8, 10)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2⁸⁸, 48, F₂, 2, 54) (dual of [(48, 2), 8, 55]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4¹², 16, F₄, 10) (dual of [16, 4, 11]-code), using
      - 1 times truncation [i] based on linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
        projective code from ovoid in PG(3,Â 4) [i]
    2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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.