Information on Result #1186326
Digital (96, 109, 1398100)-net over F4, using net defined by OOA based on linear OOA(4109, 1398100, F4, 13, 13) (dual of [(1398100, 13), 18175191, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(4109, 8388601, F4, 13) (dual of [8388601, 8388492, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-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 (97, 109, 1398100)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (97, 110, 1398100)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (98, 111, 1398100)-net over F4 | [i] | ||
| 4 | Digital (99, 112, 1398100)-net over F4 | [i] | ||
| 5 | Digital (100, 113, 1398100)-net over F4 | [i] | ||
| 6 | Digital (101, 114, 1398100)-net over F4 | [i] | ||
| 7 | Digital (102, 115, 1398105)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 8 | Digital (103, 116, 1398109)-net over F4 | [i] | ||
| 9 | Digital (104, 117, 1398112)-net over F4 | [i] | ||
| 10 | Digital (105, 118, 1398118)-net over F4 | [i] | ||
| 11 | Digital (106, 119, 1398126)-net over F4 | [i] | ||
| 12 | Digital (107, 120, 1398134)-net over F4 | [i] | ||
| 13 | Digital (109, 122, 1398135)-net over F4 | [i] | ||
| 14 | Digital (110, 123, 1398148)-net over F4 | [i] | ||
| 15 | Digital (111, 124, 1398152)-net over F4 | [i] | ||
| 16 | Digital (112, 125, 1398168)-net over F4 | [i] | ||
| 17 | Digital (113, 126, 1398186)-net over F4 | [i] | ||
| 18 | Digital (114, 127, 1398295)-net over F4 | [i] | ||
| 19 | Digital (117, 130, 1398443)-net over F4 | [i] | ||
| 20 | Digital (118, 131, 1398614)-net over F4 | [i] | ||
| 21 | Digital (120, 133, 1399128)-net over F4 | [i] | ||
| 22 | Digital (121, 134, 1399467)-net over F4 | [i] | ||
| 23 | Digital (122, 135, 1399468)-net over F4 | [i] | ||
| 24 | Digital (124, 137, 1399920)-net over F4 | [i] | ||
| 25 | Digital (125, 138, 1403563)-net over F4 | [i] | ||
| 26 | Digital (126, 139, 1403564)-net over F4 | [i] | ||
| 27 | Digital (128, 141, 1403568)-net over F4 | [i] | ||
| 28 | Digital (129, 142, 1419948)-net over F4 | [i] | ||
| 29 | Digital (131, 144, 1419949)-net over F4 | [i] | ||
| 30 | Digital (132, 145, 1419953)-net over F4 | [i] | ||
| 31 | (117, 130, 1398487)-net in base 4 | [i] | ||