MinT - Information on Result #1203872

Information on Result #1203872

Digital (38, 58, 209715)-net over F₁₂₈, using net defined by OOA based on linear OOA(128⁵⁸, 209715, F₁₂₈, 20, 20) (dual of [(209715, 20), 4194242, 21]-NRT-code), using

OA 10-folding and stacking [i] based on linear OA(128⁵⁸, 2097150, F₁₂₈, 20) (dual of [2097150, 2097092, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(128⁵⁸, 2097152, F₁₂₈, 20) (dual of [2097152, 2097094, 21]-code), using
  - an extension C_e(19) of the primitive narrow-sense BCH-code C(I) with length 2097151Â = 128³âˆ’1, defining interval IÂ =Â [1,19], 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		This result only	Method
1	Digital (39, 59, 209715)-net over F₁₂₈	[i]		Net Duplication
2	Digital (48, 68, 209844)-net over F₁₂₈	[i]		(u,Â u+v)-Construction for Nets
3	Digital (49, 69, 209865)-net over F₁₂₈	[i]
4	Digital (51, 71, 209907)-net over F₁₂₈	[i]
5	Digital (53, 73, 209973)-net over F₁₂₈	[i]
6	Digital (54, 74, 209994)-net over F₁₂₈	[i]
7	Digital (55, 75, 210015)-net over F₁₂₈	[i]
8	Digital (56, 76, 210036)-net over F₁₂₈	[i]
9	Digital (56, 76, 210102)-net over F₁₂₈	[i]