Information on Result #1186430
Digital (107, 121, 1198371)-net over F4, using net defined by OOA based on linear OOA(4121, 1198371, F4, 14, 14) (dual of [(1198371, 14), 16777073, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(4121, 8388597, F4, 14) (dual of [8388597, 8388476, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
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 (108, 122, 1198371)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (109, 123, 1198371)-net over F4 | [i] | ||
| 3 | Digital (110, 124, 1198371)-net over F4 | [i] | ||
| 4 | Digital (111, 125, 1198371)-net over F4 | [i] | ||
| 5 | Digital (112, 126, 1198371)-net over F4 | [i] | ||
| 6 | Digital (113, 127, 1198371)-net over F4 | [i] | ||
| 7 | Digital (114, 128, 1198376)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 8 | Digital (115, 129, 1198380)-net over F4 | [i] | ||
| 9 | Digital (116, 130, 1198381)-net over F4 | [i] | ||
| 10 | Digital (117, 131, 1198386)-net over F4 | [i] | ||
| 11 | Digital (118, 132, 1198391)-net over F4 | [i] | ||
| 12 | Digital (121, 135, 1198405)-net over F4 | [i] | ||
| 13 | Digital (122, 136, 1198408)-net over F4 | [i] | ||
| 14 | Digital (123, 137, 1198419)-net over F4 | [i] | ||
| 15 | Digital (125, 139, 1198437)-net over F4 | [i] | ||
| 16 | Digital (126, 140, 1198441)-net over F4 | [i] | ||
| 17 | Digital (127, 141, 1198450)-net over F4 | [i] | ||
| 18 | Digital (128, 142, 1198566)-net over F4 | [i] | ||
| 19 | Digital (131, 145, 1198611)-net over F4 | [i] | ||
| 20 | Digital (132, 146, 1198628)-net over F4 | [i] | ||
| 21 | Digital (133, 147, 1198885)-net over F4 | [i] | ||
| 22 | Digital (135, 149, 1199399)-net over F4 | [i] | ||
| 23 | Digital (138, 152, 1199738)-net over F4 | [i] | ||
| 24 | Digital (139, 153, 1199740)-net over F4 | [i] | ||
| 25 | Digital (140, 154, 1199741)-net over F4 | [i] | ||
| 26 | Digital (141, 155, 1199743)-net over F4 | [i] | ||
| 27 | Digital (142, 156, 1200191)-net over F4 | [i] | ||
| 28 | Digital (143, 157, 1203834)-net over F4 | [i] | ||
| 29 | Digital (126, 140, 1198442)-net over F4 | [i] | ||
| 30 | Digital (127, 141, 1198451)-net over F4 | [i] | ||
| 31 | (127, 141, 1198459)-net in base 4 | [i] | ||