MinT - Information on Result #3287368

Information on Result #3287368

Digital (218, 231, large)-net over F₂, using t-expansion based on digital (217, 231, large)-net over F₂, using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(2²³¹, large, F₂, 2, 14), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2²²⁹, 8388602, F₂, 2, 14) (dual of [(8388602, 2), 16776975, 15]-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(2¹⁶¹, 4194301, F₂, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(2¹⁶¹, 8388602, F₂, 14) (dual of [8388602, 8388441, 15]-code), using
        discarding factors / shortening the dual code based on linear OA(2¹⁶¹, large, F₂, 14) (dual of [large, large−161, 15]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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 (219, 232, large)-net over F₂	[i]		Net Duplication
2	Digital (220, 233, large)-net over F₂	[i]
3	Digital (221, 234, large)-net over F₂	[i]
4	Digital (222, 235, large)-net over F₂	[i]
5	Digital (223, 236, large)-net over F₂	[i]
6	Digital (224, 237, large)-net over F₂	[i]
7	Digital (225, 238, large)-net over F₂	[i]
8	Digital (226, 239, large)-net over F₂	[i]
9	Digital (227, 240, large)-net over F₂	[i]
10	Digital (228, 241, large)-net over F₂	[i]
11	Digital (229, 242, large)-net over F₂	[i]
12	Digital (230, 243, large)-net over F₂	[i]
13	Digital (231, 244, large)-net over F₂	[i]
14	Digital (232, 245, large)-net over F₂	[i]
15	Digital (233, 246, large)-net over F₂	[i]
16	Digital (234, 247, large)-net over F₂	[i]