MinT - Information on Result #2996128

Information on Result #2996128

Linear OOA(2¹⁶¹, 8388602, F₂, 8, 8) (dual of [(8388602, 8), 67108655, 9]-NRT-code), using 2² times duplication based on linear OOA(2¹⁵⁹, 8388602, F₂, 8, 8) (dual of [(8388602, 8), 67108657, 9]-NRT-code), using

appending kth column [i] based on linear OOA(2¹⁵⁹, 8388602, F₂, 7, 8) (dual of [(8388602, 7), 58720055, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁴, 4194305, F₂, 7, 4) (dual of [(4194305, 7), 29360091, 5]-NRT-code), using
    - appending 3 arbitrary columns [i] based on linear OOA(2⁴⁴, 4194305, F₂, 4, 4) (dual of [(4194305, 4), 16777176, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(2⁴⁴, 4194305, F₂, 3, 4) (dual of [(4194305, 3), 12582871, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (40, 44, 4194305)-net over F₂, using
        nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(2¹¹⁵, 4194301, F₂, 7, 8) (dual of [(4194301, 7), 29359992, 9]-NRT-code), using
    - OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹¹⁵, large, F₂, 2, 8), using
      - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.