MinT - Information on Result #1179274

Information on Result #1179274

Digital (122, 131, 4194450)-net over F₂, using net defined by OOA based on linear OOA(2¹³¹, 4194450, F₂, 9, 9) (dual of [(4194450, 9), 37749919, 10]-NRT-code), using

appending kth column [i] based on linear OOA(2¹³¹, 4194450, F₂, 8, 9) (dual of [(4194450, 8), 33555469, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁵, 149, F₂, 8, 4) (dual of [(149, 8), 1177, 5]-NRT-code), using
    - appending 4 arbitrary columns [i] based on linear OOA(2¹⁵, 149, F₂, 4, 4) (dual of [(149, 4), 581, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(2¹⁵, 149, F₂, 3, 4) (dual of [(149, 3), 432, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (11, 15, 149)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2¹¹⁶, 4194301, F₂, 8, 9) (dual of [(4194301, 8), 33554292, 10]-NRT-code), using
    - OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹¹⁶, large, F₂, 2, 9), 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.