MinT - Information on Result #1204878

Information on Result #1204878

Digital (40, 61, 838860)-net over F₂₅₆, using net defined by OOA based on linear OOA(256⁶¹, 838860, F₂₅₆, 21, 21) (dual of [(838860, 21), 17615999, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(256⁶¹, 8388601, F₂₅₆, 21) (dual of [8388601, 8388540, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(256⁶¹, large, F₂₅₆, 21) (dual of [large, large−61, 22]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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 (41, 61, 838860)-net over F₂₅₆	[i]	t-Expansion
2	Digital (41, 62, 838860)-net over F₂₅₆	[i]	Net Duplication
3	Digital (42, 63, 838860)-net over F₂₅₆	[i]
4	Digital (43, 64, 838860)-net over F₂₅₆	[i]
5	Digital (44, 65, 838860)-net over F₂₅₆	[i]
6	Digital (45, 66, 838860)-net over F₂₅₆	[i]
7	Digital (46, 67, 838860)-net over F₂₅₆	[i]
8	Digital (47, 68, 838860)-net over F₂₅₆	[i]
9	Digital (40, 60, 838860)-net over F₂₅₆	[i]	m-Reduction