MinT - Information on Result #1179582

Information on Result #1179582

Digital (1, 4, 257)-net over F₁₆, using net defined by OOA based on linear OOA(16⁴, 257, F₁₆, 3, 3) (dual of [(257, 3), 767, 4]-NRT-code), using

appending kth column [i] based on linear OOA(16⁴, 257, F₁₆, 2, 3) (dual of [(257, 2), 510, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(16⁴, 257, F₁₆, 3) (dual of [257, 253, 4]-code or 257-cap in PG(3,16)), using
  - ovoid in PG(3,Â 16) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Digital (14, 20, 1623)-net over F₁₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (24, 30, 349784)-net over F₁₆	[i]
3	Digital (30, 36, 5592659)-net over F₁₆	[i]
4	Digital (11, 18, 771)-net over F₁₆	[i]
5	Digital (16, 23, 1623)-net over F₁₆	[i]
6	Digital (23, 30, 43948)-net over F₁₆	[i]
7	Digital (28, 35, 349783)-net over F₁₆	[i]
8	Digital (35, 42, 5592657)-net over F₁₆	[i]
9	Digital (17, 24, 4112)-net over F₁₆	[i]	Generalized (u,Â u+v)-Construction for Nets
10	Digital (115, 129, 4793741)-net over F₁₆	[i]
11	Digital (116, 130, 4794015)-net over F₁₆	[i]
12	Digital (41, 56, 1285)-net over F₁₆	[i]
13	Digital (40, 55, 1268)-net over F₁₆	[i]
14	Digital (38, 52, 1285)-net over F₁₆	[i]
15	Digital (113, 127, 4793724)-net over F₁₆	[i]
16	Digital (114, 128, 4793998)-net over F₁₆	[i]
17	Digital (115, 129, 4794255)-net over F₁₆	[i]
18	Digital (104, 117, 5593171)-net over F₁₆	[i]
19	Digital (108, 121, 5657937)-net over F₁₆	[i]
20	Digital (112, 125, 6116947)-net over F₁₆	[i]
21	Digital (99, 111, 5593171)-net over F₁₆	[i]
22	Digital (103, 115, 5657937)-net over F₁₆	[i]
23	Digital (107, 119, 6116947)-net over F₁₆	[i]
24	Digital (28, 39, 1542)-net over F₁₆	[i]
25	Digital (25, 36, 1285)-net over F₁₆	[i]
26	Digital (24, 34, 1285)-net over F₁₆	[i]
27	Digital (21, 30, 1285)-net over F₁₆	[i]