Information on Result #1021181
Linear OOA(396, large, F3, 3, 7), using generalized (u, u+v)-construction based on
- linear OOA(315, 2796201, F3, 3, 2) (dual of [(2796201, 3), 8388588, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7174453, F3, 3, 2) (dual of [(7174453, 3), 21523344, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(315, 7174453, F3, 2, 2) (dual of [(7174453, 2), 14348891, 3]-NRT-code), using
- appending kth column [i] based on linear OA(315, 7174453, F3, 2) (dual of [7174453, 7174438, 3]-code), using
- Hamming code H(15,3) [i]
- appending kth column [i] based on linear OA(315, 7174453, F3, 2) (dual of [7174453, 7174438, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(315, 7174453, F3, 2, 2) (dual of [(7174453, 2), 14348891, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7174453, F3, 3, 2) (dual of [(7174453, 3), 21523344, 3]-NRT-code), using
- linear OOA(320, 2796201, F3, 3, 3) (dual of [(2796201, 3), 8388583, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 3713023, F3, 3, 3) (dual of [(3713023, 3), 11139049, 4]-NRT-code), using
- linear OOA(361, 2796201, F3, 3, 7) (dual of [(2796201, 3), 8388542, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-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(396, large, F3, 3, 6) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(396, large, F3, 3, 5) | [i] | ||
| 3 | Linear OOA(396, large, F3, 3, 4) | [i] | ||
| 4 | Linear OOA(396, large, F3, 3, 3) | [i] | ||
| 5 | Linear OOA(399, large, F3, 3, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(3102, large, F3, 3, 7) | [i] | ||
| 7 | Linear OOA(3105, large, F3, 3, 7) | [i] | ||
| 8 | Linear OOA(3108, large, F3, 3, 7) | [i] | ||
| 9 | Linear OOA(3111, large, F3, 3, 7) | [i] | ||
| 10 | Linear OOA(3114, large, F3, 3, 7) | [i] | ||
| 11 | Linear OOA(3117, large, F3, 3, 7) | [i] | ||
| 12 | Linear OOA(3120, large, F3, 3, 7) | [i] | ||
| 13 | Linear OOA(3123, large, F3, 3, 7) | [i] | ||
| 14 | Linear OOA(3126, large, F3, 3, 7) | [i] | ||
| 15 | Linear OOA(3129, large, F3, 3, 7) | [i] | ||
| 16 | Linear OOA(3135, large, F3, 3, 7) | [i] | ||
| 17 | Linear OOA(3138, large, F3, 3, 7) | [i] | ||
| 18 | Linear OOA(3141, large, F3, 3, 7) | [i] | ||
| 19 | Linear OOA(3144, large, F3, 3, 7) | [i] | ||
| 20 | Linear OOA(3147, large, F3, 3, 7) | [i] | ||
| 21 | Linear OOA(3150, large, F3, 3, 7) | [i] | ||
| 22 | Linear OOA(3153, large, F3, 3, 7) | [i] | ||
| 23 | Linear OOA(3156, large, F3, 3, 7) | [i] | ||
| 24 | Linear OOA(3159, large, F3, 3, 7) | [i] | ||
| 25 | Linear OOA(3162, large, F3, 3, 7) | [i] | ||
| 26 | Linear OOA(3165, large, F3, 3, 7) | [i] | ||
| 27 | Linear OOA(3168, large, F3, 3, 7) | [i] | ||
| 28 | Linear OOA(3171, large, F3, 3, 7) | [i] | ||
| 29 | Linear OOA(3174, large, F3, 3, 7) | [i] | ||
| 30 | Linear OOA(3177, large, F3, 3, 7) | [i] | ||
| 31 | Linear OOA(3183, large, F3, 3, 7) | [i] | ||
| 32 | Linear OOA(3186, large, F3, 3, 7) | [i] | ||
| 33 | Linear OOA(3189, large, F3, 3, 7) | [i] | ||
| 34 | Linear OOA(3192, large, F3, 3, 7) | [i] | ||
| 35 | Linear OOA(3195, large, F3, 3, 7) | [i] | ||
| 36 | Linear OOA(3198, large, F3, 3, 7) | [i] | ||
| 37 | Linear OOA(3201, large, F3, 3, 7) | [i] | ||
| 38 | Linear OOA(3204, large, F3, 3, 7) | [i] | ||
| 39 | Linear OOA(3207, large, F3, 3, 7) | [i] | ||
| 40 | Linear OOA(3210, large, F3, 3, 7) | [i] | ||
| 41 | Linear OOA(3213, large, F3, 3, 7) | [i] | ||
| 42 | Linear OOA(3216, large, F3, 3, 7) | [i] | ||
| 43 | Linear OOA(3219, large, F3, 3, 7) | [i] | ||
| 44 | Linear OOA(3222, large, F3, 3, 7) | [i] | ||
| 45 | Linear OOA(3225, large, F3, 3, 7) | [i] | ||
| 46 | Linear OOA(3231, large, F3, 3, 7) | [i] | ||
| 47 | Linear OOA(3234, large, F3, 3, 7) | [i] | ||
| 48 | Linear OOA(3237, large, F3, 3, 7) | [i] | ||
| 49 | Linear OOA(3240, large, F3, 3, 7) | [i] | ||
| 50 | Linear OOA(3243, large, F3, 3, 7) | [i] | ||
| 51 | Linear OOA(3246, large, F3, 3, 7) | [i] | ||
| 52 | Linear OOA(3249, large, F3, 3, 7) | [i] | ||
| 53 | Linear OOA(397, large, F3, 3, 7) | [i] | OOA Duplication | |
| 54 | Linear OOA(398, large, F3, 3, 7) | [i] | ||
| 55 | Linear OOA(396, 8388602, F3, 4, 7) (dual of [(8388602, 4), 33554312, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 56 | Linear OOA(396, 8388602, F3, 5, 7) (dual of [(8388602, 5), 41942914, 8]-NRT-code) | [i] | ||
| 57 | Linear OOA(396, 8388602, F3, 9, 7) (dual of [(8388602, 9), 75497322, 8]-NRT-code) | [i] | ||