MinT - Information on Result #1192262

Information on Result #1192262

Digital (130, 149, 1864134)-net over F₈, using net defined by OOA based on linear OOA(8¹⁴⁹, 1864134, F₈, 21, 19) (dual of [(1864134, 21), 39146665, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(8¹⁴⁹, 5592403, F₈, 3, 19) (dual of [(5592403, 3), 16777060, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8¹⁴⁶, 5592402, F₈, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using
  - trace code [i] based on linear OOA(64⁷³, 2796201, F₆₄, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(64⁷³, large, F₆₄, 19) (dual of [large, large−73, 20]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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 (131, 150, 1864134)-net over F₈	[i]	Net Duplication
2	Digital (132, 151, 1864134)-net over F₈	[i]
3	Digital (133, 152, 1864134)-net over F₈	[i]
4	Digital (134, 153, 1864134)-net over F₈	[i]
5	Digital (135, 154, 1864134)-net over F₈	[i]
6	Digital (150, 169, 1864294)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
7	(154, 173, 1864648)-net in base 8	[i]	(u,Â u+v)-Construction for Nets