MinT - Information on Result #1178903

Information on Result #1178903

Digital (123, 131, 4194558)-net over F₂, using net defined by OOA based on linear OOA(2¹³¹, 4194558, F₂, 8, 8) (dual of [(4194558, 8), 33556333, 9]-NRT-code), using

appending kth column [i] based on linear OOA(2¹³¹, 4194558, F₂, 7, 8) (dual of [(4194558, 7), 29361775, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁶, 257, F₂, 7, 4) (dual of [(257, 7), 1783, 5]-NRT-code), using
    - appending 3 arbitrary columns [i] based on linear OOA(2¹⁶, 257, F₂, 4, 4) (dual of [(257, 4), 1012, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(2¹⁶, 257, F₂, 3, 4) (dual of [(257, 3), 755, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (12, 16, 257)-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, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.