Information on Result #1193580
Digital (78, 90, 2796200)-net over F9, using net defined by OOA based on linear OOA(990, 2796200, F9, 14, 12) (dual of [(2796200, 14), 39146710, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(990, 8388601, F9, 2, 12) (dual of [(8388601, 2), 16777112, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(990, 8388602, F9, 2, 12) (dual of [(8388602, 2), 16777114, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 4194301, F81, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F81, 12) (dual of [8388602, 8388557, 13]-code), using
- trace code [i] based on linear OOA(8145, 4194301, F81, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(990, 8388602, F9, 2, 12) (dual of [(8388602, 2), 16777114, 13]-NRT-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 (79, 91, 2796200)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (80, 92, 2796200)-net over F9 | [i] | ||
| 3 | Digital (168, 180, 5592400)-net over F3 | [i] | Trace Code for Nets | |
| 4 | Digital (84, 96, 2796210)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (85, 97, 2796216)-net over F9 | [i] | ||
| 6 | Digital (86, 98, 2796220)-net over F9 | [i] | ||
| 7 | Digital (87, 99, 2796228)-net over F9 | [i] | ||
| 8 | Digital (88, 100, 2796245)-net over F9 | [i] | ||
| 9 | Digital (89, 101, 2796282)-net over F9 | [i] | ||
| 10 | Digital (90, 102, 2796364)-net over F9 | [i] | ||
| 11 | Digital (92, 104, 2796400)-net over F9 | [i] | ||
| 12 | Digital (94, 106, 2796446)-net over F9 | [i] | ||
| 13 | Digital (95, 107, 2796528)-net over F9 | [i] | ||
| 14 | Digital (97, 109, 2796600)-net over F9 | [i] | ||
| 15 | Digital (98, 110, 2796618)-net over F9 | [i] | ||
| 16 | Digital (99, 111, 2798388)-net over F9 | [i] | ||
| 17 | Digital (100, 112, 2800575)-net over F9 | [i] | ||
| 18 | Digital (102, 114, 2800577)-net over F9 | [i] | ||
| 19 | Digital (103, 115, 2800585)-net over F9 | [i] | ||
| 20 | Digital (104, 116, 2815884)-net over F9 | [i] | ||
| 21 | Digital (105, 117, 2815887)-net over F9 | [i] | ||
| 22 | Digital (107, 119, 2815894)-net over F9 | [i] | ||
| 23 | Digital (108, 120, 2815966)-net over F9 | [i] | ||
| 24 | Digital (109, 121, 2973349)-net over F9 | [i] | ||
| 25 | Digital (110, 122, 3150496)-net over F9 | [i] | ||
| 26 | Digital (112, 124, 3150499)-net over F9 | [i] | ||
| 27 | Digital (113, 125, 3150506)-net over F9 | [i] | ||
| 28 | Digital (114, 126, 4390525)-net over F9 | [i] | ||
| 29 | Digital (115, 127, 4390528)-net over F9 | [i] | ||
| 30 | Digital (117, 129, 4390535)-net over F9 | [i] | ||
| 31 | Digital (118, 130, 4390607)-net over F9 | [i] | ||
| 32 | Digital (119, 131, 5592400)-net over F9 | [i] | ||
| 33 | Digital (98, 110, 2796619)-net over F9 | [i] | ||
| 34 | (102, 114, 2802762)-net in base 9 | [i] | ||
| 35 | (117, 129, 5592400)-net in base 9 | [i] | ||
| 36 | Digital (138, 150, 5599102)-net over F9 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 37 | Digital (129, 141, 5592492)-net over F9 | [i] | ||
| 38 | Digital (130, 142, 5592564)-net over F9 | [i] | ||
| 39 | Digital (130, 142, 5592574)-net over F9 | [i] | ||
| 40 | Digital (131, 143, 5592646)-net over F9 | [i] | ||
| 41 | Digital (133, 145, 5595650)-net over F9 | [i] | ||
| 42 | Digital (134, 146, 5595722)-net over F9 | [i] | ||
| 43 | Digital (135, 147, 5595852)-net over F9 | [i] | ||
| 44 | Digital (134, 146, 5598890)-net over F9 | [i] | ||
| 45 | Digital (135, 147, 5598962)-net over F9 | [i] | ||
| 46 | Digital (136, 148, 5599092)-net over F9 | [i] | ||
| 47 | Digital (137, 149, 5599720)-net over F9 | [i] | ||
| 48 | Digital (138, 150, 5605360)-net over F9 | [i] | ||
| 49 | Digital (138, 150, 5621937)-net over F9 | [i] | ||
| 50 | Digital (136, 148, 5984850)-net over F9 | [i] | ||
| 51 | Digital (137, 149, 5984856)-net over F9 | [i] | ||
| 52 | Digital (123, 135, 5592410)-net over F9 | [i] | ||
| 53 | Digital (124, 136, 5592416)-net over F9 | [i] | ||
| 54 | Digital (125, 137, 5592436)-net over F9 | [i] | ||
| 55 | Digital (126, 138, 5592482)-net over F9 | [i] | ||
| 56 | Digital (127, 139, 5592564)-net over F9 | [i] | ||
| 57 | Digital (129, 141, 5592767)-net over F9 | [i] | ||
| 58 | Digital (130, 142, 5595640)-net over F9 | [i] | ||
| 59 | Digital (131, 143, 5598880)-net over F9 | [i] | ||
| 60 | Digital (133, 145, 5598963)-net over F9 | [i] | ||
| 61 | Digital (134, 146, 5598971)-net over F9 | [i] | ||
| 62 | Digital (135, 147, 5621927)-net over F9 | [i] | ||
| 63 | Digital (134, 146, 5599042)-net over F9 | [i] | ||