MinT - Information on Result #1198518

Information on Result #1198518

Digital (51, 78, 1513)-net over F₂₇, using net defined by OOA based on linear OOA(27⁷⁸, 1513, F₂₇, 27, 27) (dual of [(1513, 27), 40773, 28]-NRT-code), using

OOA 13-folding and stacking with additional row [i] based on linear OA(27⁷⁸, 19670, F₂₇, 27) (dual of [19670, 19592, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁷⁸, 19682, F₂₇, 27) (dual of [19682, 19604, 28]-code), using
  - 1 times truncation [i] based on linear OA(27⁷⁹, 19683, F₂₇, 28) (dual of [19683, 19604, 29]-code), using
    - an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 19682Â = 27³âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [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 (64, 91, 1541)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
2	Digital (65, 92, 1551)-net over F₂₇	[i]
3	Digital (66, 93, 1561)-net over F₂₇	[i]
4	Digital (67, 94, 1565)-net over F₂₇	[i]
5	Digital (68, 95, 1577)-net over F₂₇	[i]
6	Digital (69, 96, 1581)-net over F₂₇	[i]
7	Digital (70, 97, 1589)-net over F₂₇	[i]
8	Digital (71, 98, 1595)-net over F₂₇	[i]
9	Digital (72, 99, 1597)-net over F₂₇	[i]
10	Digital (73, 100, 1601)-net over F₂₇	[i]
11	Digital (74, 101, 1609)-net over F₂₇	[i]
12	Digital (75, 102, 1615)-net over F₂₇	[i]
13	Digital (76, 103, 1634)-net over F₂₇	[i]
14	(69, 96, 1595)-net in base 27	[i]
15	(70, 97, 1613)-net in base 27	[i]
16	(71, 98, 1629)-net in base 27	[i]
17	(74, 101, 1663)-net in base 27	[i]
18	(75, 102, 1673)-net in base 27	[i]
19	(90, 117, 1513)-net in base 9	[i]	Base Change