MinT - Information on Result #3288636

Information on Result #3288636

Digital (237, 250, large)-net over F₂, using t-expansion based on digital (235, 250, large)-net over F₂, using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(2²⁵⁰, large, F₂, 2, 15), using
- 10 times NRT-code embedding in larger space [i] based on linear OOA(2²³⁰, 8388602, F₂, 2, 15) (dual of [(8388602, 2), 16776974, 16]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2⁶⁸, 4194303, F₂, 2, 7) (dual of [(4194303, 2), 8388538, 8]-NRT-code), using
      - OOAs constructed from BCH codes [i]
    2. linear OOA(2¹⁶², 4194301, F₂, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(2¹⁶², 8388602, F₂, 15) (dual of [8388602, 8388440, 16]-code), using
        discarding factors / shortening the dual code based on linear OA(2¹⁶², large, F₂, 15) (dual of [large, large−162, 16]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (238, 251, large)-net over F₂	[i]		Net Duplication
2	Digital (239, 252, large)-net over F₂	[i]
3	Digital (240, 253, large)-net over F₂	[i]
4	Digital (241, 254, large)-net over F₂	[i]
5	Digital (242, 255, large)-net over F₂	[i]
6	Digital (243, 256, large)-net over F₂	[i]
7	Digital (244, 257, large)-net over F₂	[i]
8	Digital (245, 258, large)-net over F₂	[i]
9	Digital (246, 259, large)-net over F₂	[i]
10	Digital (247, 260, large)-net over F₂	[i]