MinT - Information on Result #1192410

Information on Result #1192410

Digital (106, 127, 209715)-net over F₈, using net defined by OOA based on linear OOA(8¹²⁷, 209715, F₈, 21, 21) (dual of [(209715, 21), 4403888, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(8¹²⁷, 2097151, F₈, 21) (dual of [2097151, 2097024, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8¹²⁷, 2097152, F₈, 21) (dual of [2097152, 2097025, 22]-code), using
  - an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 2097151Â = 8⁷âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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 (116, 137, 209724)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (117, 138, 209729)-net over F₈	[i]
3	Digital (118, 139, 209732)-net over F₈	[i]
4	Digital (119, 140, 209739)-net over F₈	[i]
5	Digital (120, 141, 209740)-net over F₈	[i]
6	Digital (121, 142, 209743)-net over F₈	[i]
7	Digital (123, 144, 209751)-net over F₈	[i]
8	(122, 143, 209748)-net in base 8	[i]