MinT - Information on Result #1192024

Information on Result #1192024

Digital (96, 113, 1048575)-net over F₈, using net defined by OOA based on linear OOA(8¹¹³, 1048575, F₈, 17, 17) (dual of [(1048575, 17), 17825662, 18]-NRT-code), using

OOA 8-folding and stacking with additional row [i] based on linear OA(8¹¹³, 8388601, F₈, 17) (dual of [8388601, 8388488, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8¹¹³, large, F₈, 17) (dual of [large, large−113, 18]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 8¹⁶âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (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		This result only	Method
1	Digital (97, 113, 1048575)-net over F₈	[i]		t-Expansion
2	Digital (97, 114, 1048575)-net over F₈	[i]		Net Duplication
3	Digital (98, 115, 1048575)-net over F₈	[i]
4	Digital (99, 116, 1048575)-net over F₈	[i]
5	Digital (100, 117, 1048575)-net over F₈	[i]
6	Digital (101, 118, 1048575)-net over F₈	[i]
7	Digital (102, 119, 1048575)-net over F₈	[i]
8	Digital (103, 120, 1048575)-net over F₈	[i]
9	Digital (104, 121, 1048584)-net over F₈	[i]		(u,Â u+v)-Construction for Nets
10	Digital (105, 122, 1048589)-net over F₈	[i]
11	Digital (106, 123, 1048592)-net over F₈	[i]
12	Digital (107, 124, 1048599)-net over F₈	[i]
13	Digital (108, 125, 1048600)-net over F₈	[i]
14	Digital (109, 126, 1048603)-net over F₈	[i]
15	Digital (111, 128, 1048640)-net over F₈	[i]
16	Digital (112, 129, 1048705)-net over F₈	[i]
17	(110, 127, 1048608)-net in base 8	[i]