MinT - Information on Result #1204816

Information on Result #1204816

Digital (39, 58, 932067)-net over F₂₅₆, using net defined by OOA based on linear OOA(256⁵⁸, 932067, F₂₅₆, 21, 19) (dual of [(932067, 21), 19573349, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(256⁵⁸, 2796202, F₂₅₆, 3, 19) (dual of [(2796202, 3), 8388548, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(256⁵⁵, 2796201, F₂₅₆, 3, 19) (dual of [(2796201, 3), 8388548, 20]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(256⁵⁵, large, F₂₅₆, 19) (dual of [large, large−55, 20]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [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		Method
1	Digital (40, 58, 932067)-net over F₂₅₆	[i]	t-Expansion
2	Digital (40, 59, 932067)-net over F₂₅₆	[i]	Net Duplication
3	Digital (41, 60, 932067)-net over F₂₅₆	[i]
4	Digital (42, 61, 932067)-net over F₂₅₆	[i]
5	Digital (43, 62, 932067)-net over F₂₅₆	[i]
6	Digital (44, 63, 932067)-net over F₂₅₆	[i]
7	Digital (39, 57, 932067)-net over F₂₅₆	[i]	m-Reduction
8	Digital (213, 232, 3728268)-net over F₄	[i]	Trace Code for Nets
9	Digital (97, 116, 1864134)-net over F₁₆	[i]	Trace Code for Nets