Information on Result #1187186
Digital (171, 193, 762600)-net over F4, using net defined by OOA based on linear OOA(4193, 762600, F4, 22, 22) (dual of [(762600, 22), 16777007, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(4193, 8388600, F4, 22) (dual of [8388600, 8388407, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-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 (172, 194, 762600)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (173, 195, 762600)-net over F4 | [i] | ||
| 3 | Digital (174, 196, 762600)-net over F4 | [i] | ||
| 4 | Digital (175, 197, 762600)-net over F4 | [i] | ||
| 5 | Digital (176, 198, 762600)-net over F4 | [i] | ||
| 6 | Digital (177, 199, 762600)-net over F4 | [i] | ||
| 7 | Digital (178, 200, 762600)-net over F4 | [i] | ||
| 8 | Digital (179, 201, 762600)-net over F4 | [i] | ||
| 9 | Digital (180, 202, 762600)-net over F4 | [i] | ||
| 10 | Digital (181, 203, 762600)-net over F4 | [i] | ||
| 11 | Digital (182, 204, 762605)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 12 | Digital (183, 205, 762609)-net over F4 | [i] | ||
| 13 | Digital (184, 206, 762610)-net over F4 | [i] | ||
| 14 | Digital (185, 207, 762614)-net over F4 | [i] | ||
| 15 | Digital (186, 208, 762615)-net over F4 | [i] | ||
| 16 | Digital (187, 209, 762617)-net over F4 | [i] | ||
| 17 | Digital (188, 210, 762618)-net over F4 | [i] | ||
| 18 | Digital (189, 211, 762621)-net over F4 | [i] | ||
| 19 | Digital (191, 213, 762623)-net over F4 | [i] | ||
| 20 | Digital (192, 214, 762628)-net over F4 | [i] | ||
| 21 | Digital (193, 215, 762634)-net over F4 | [i] | ||
| 22 | Digital (195, 217, 762648)-net over F4 | [i] | ||
| 23 | Digital (197, 219, 762666)-net over F4 | [i] | ||
| 24 | Digital (199, 221, 762676)-net over F4 | [i] | ||
| 25 | Digital (201, 223, 762690)-net over F4 | [i] | ||
| 26 | Digital (203, 225, 762698)-net over F4 | [i] | ||
| 27 | Digital (204, 226, 762795)-net over F4 | [i] | ||
| 28 | Digital (207, 229, 762840)-net over F4 | [i] | ||
| 29 | Digital (212, 234, 762857)-net over F4 | [i] | ||
| 30 | Digital (213, 235, 763114)-net over F4 | [i] | ||
| 31 | Digital (215, 237, 763628)-net over F4 | [i] | ||
| 32 | Digital (219, 241, 763632)-net over F4 | [i] | ||
| 33 | (210, 232, 762987)-net in base 4 | [i] | ||