MinT - Information on Result #1179276

Information on Result #1179276

Digital (123, 132, 4194558)-net over F₂, using net defined by OOA based on linear OOA(2¹³², 4194558, F₂, 9, 9) (dual of [(4194558, 9), 37750890, 10]-NRT-code), using

appending kth column [i] based on linear OOA(2¹³², 4194558, F₂, 8, 9) (dual of [(4194558, 8), 33556332, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁶, 257, F₂, 8, 4) (dual of [(257, 8), 2040, 5]-NRT-code), using
    - appending 4 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(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

The following results depend on this result:

	Result		This result only	Method
1	Digital (124, 132, 4194558)-net over F₂	[i]		t-Expansion
2	Digital (124, 133, 4194558)-net over F₂	[i]		Net Duplication