MinT - Information on Result #1179282

Information on Result #1179282

Digital (127, 136, 4195326)-net over F₂, using net defined by OOA based on linear OOA(2¹³⁶, 4195326, F₂, 9, 9) (dual of [(4195326, 9), 37757798, 10]-NRT-code), using

appending kth column [i] based on linear OOA(2¹³⁶, 4195326, F₂, 8, 9) (dual of [(4195326, 8), 33562472, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁰, 1025, F₂, 8, 4) (dual of [(1025, 8), 8180, 5]-NRT-code), using
    - appending 4 arbitrary columns [i] based on linear OOA(2²⁰, 1025, F₂, 4, 4) (dual of [(1025, 4), 4080, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(2²⁰, 1025, F₂, 3, 4) (dual of [(1025, 3), 3055, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (16, 20, 1025)-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 (128, 136, 4195326)-net over F₂	[i]		t-Expansion
2	Digital (128, 137, 4195326)-net over F₂	[i]		Net Duplication