Information on Result #1234867
Linear OOA(378, large, F3, 3, 6), using extracting embedded OOA based on digital (72, 78, large)-net over F3, using
- trace code for nets [i] based on digital (20, 26, 2796201)-net over F27, using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(378, large, F3, 3, 5) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(378, large, F3, 3, 4) | [i] | ||
3 | Linear OOA(378, large, F3, 3, 3) | [i] | ||
4 | Linear OOA(381, large, F3, 3, 6) | [i] | NRT-Code Embedding in Larger Space | |
5 | Linear OOA(387, large, F3, 3, 6) | [i] | ||
6 | Linear OOA(390, large, F3, 3, 6) | [i] | ||
7 | Linear OOA(393, large, F3, 3, 6) | [i] | ||
8 | Linear OOA(399, large, F3, 3, 6) | [i] | ||
9 | Linear OOA(3102, large, F3, 3, 6) | [i] | ||
10 | Linear OOA(3105, large, F3, 3, 6) | [i] | ||
11 | Linear OOA(3108, large, F3, 3, 6) | [i] | ||
12 | Linear OOA(3111, large, F3, 3, 6) | [i] | ||
13 | Linear OOA(3114, large, F3, 3, 6) | [i] | ||
14 | Linear OOA(3117, large, F3, 3, 6) | [i] | ||
15 | Linear OOA(3120, large, F3, 3, 6) | [i] | ||
16 | Linear OOA(3123, large, F3, 3, 6) | [i] | ||
17 | Linear OOA(3126, large, F3, 3, 6) | [i] | ||
18 | Linear OOA(3129, large, F3, 3, 6) | [i] | ||
19 | Linear OOA(3135, large, F3, 3, 6) | [i] | ||
20 | Linear OOA(3138, large, F3, 3, 6) | [i] | ||
21 | Linear OOA(3141, large, F3, 3, 6) | [i] | ||
22 | Linear OOA(3144, large, F3, 3, 6) | [i] | ||
23 | Linear OOA(3147, large, F3, 3, 6) | [i] | ||
24 | Linear OOA(3150, large, F3, 3, 6) | [i] | ||
25 | Linear OOA(3153, large, F3, 3, 6) | [i] | ||
26 | Linear OOA(3156, large, F3, 3, 6) | [i] | ||
27 | Linear OOA(3159, large, F3, 3, 6) | [i] | ||
28 | Linear OOA(3162, large, F3, 3, 6) | [i] | ||
29 | Linear OOA(3165, large, F3, 3, 6) | [i] | ||
30 | Linear OOA(3168, large, F3, 3, 6) | [i] | ||
31 | Linear OOA(3171, large, F3, 3, 6) | [i] | ||
32 | Linear OOA(3174, large, F3, 3, 6) | [i] | ||
33 | Linear OOA(3177, large, F3, 3, 6) | [i] | ||
34 | Linear OOA(3183, large, F3, 3, 6) | [i] | ||
35 | Linear OOA(3186, large, F3, 3, 6) | [i] | ||
36 | Linear OOA(3189, large, F3, 3, 6) | [i] | ||
37 | Linear OOA(3192, large, F3, 3, 6) | [i] | ||
38 | Linear OOA(3195, large, F3, 3, 6) | [i] | ||
39 | Linear OOA(3198, large, F3, 3, 6) | [i] | ||
40 | Linear OOA(3201, large, F3, 3, 6) | [i] | ||
41 | Linear OOA(3204, large, F3, 3, 6) | [i] | ||
42 | Linear OOA(3207, large, F3, 3, 6) | [i] | ||
43 | Linear OOA(3210, large, F3, 3, 6) | [i] | ||
44 | Linear OOA(3213, large, F3, 3, 6) | [i] | ||
45 | Linear OOA(3216, large, F3, 3, 6) | [i] | ||
46 | Linear OOA(3219, large, F3, 3, 6) | [i] | ||
47 | Linear OOA(3222, large, F3, 3, 6) | [i] | ||
48 | Linear OOA(3225, large, F3, 3, 6) | [i] | ||
49 | Linear OOA(3231, large, F3, 3, 6) | [i] | ||
50 | Linear OOA(3234, large, F3, 3, 6) | [i] | ||
51 | Linear OOA(3237, large, F3, 3, 6) | [i] | ||
52 | Linear OOA(3240, large, F3, 3, 6) | [i] | ||
53 | Linear OOA(3243, large, F3, 3, 6) | [i] | ||
54 | Linear OOA(3246, large, F3, 3, 6) | [i] | ||
55 | Linear OOA(3249, large, F3, 3, 6) | [i] | ||
56 | Linear OOA(379, large, F3, 3, 6) | [i] | OOA Duplication | |
57 | Linear OOA(380, large, F3, 3, 6) | [i] | ||
58 | Linear OOA(378, 8388602, F3, 4, 6) (dual of [(8388602, 4), 33554330, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |
59 | Linear OOA(378, 8388602, F3, 5, 6) (dual of [(8388602, 5), 41942932, 7]-NRT-code) | [i] |