Information on Result #1021190
Linear OOA(361, large, F3, 3, 5), using generalized (u, u+v)-construction based on
- linear OOA(31, 2391484, F3, 3, 1) (dual of [(2391484, 3), 7174451, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 3, 1) for arbitrarily large s, using
- linear OOA(314, 2391484, F3, 3, 2) (dual of [(2391484, 3), 7174438, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(314, 2391484, F3, 2, 2) (dual of [(2391484, 2), 4782954, 3]-NRT-code), using
- appending kth column [i] based on linear OA(314, 2391484, F3, 2) (dual of [2391484, 2391470, 3]-code), using
- Hamming code H(14,3) [i]
- appending kth column [i] based on linear OA(314, 2391484, F3, 2) (dual of [2391484, 2391470, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(314, 2391484, F3, 2, 2) (dual of [(2391484, 2), 4782954, 3]-NRT-code), using
- linear OOA(346, 4194301, F3, 3, 5) (dual of [(4194301, 3), 12582857, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(346, large, F3, 5) (dual of [large, large−46, 6]-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(361, large, F3, 3, 4) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(361, large, F3, 3, 3) | [i] | ||
| 3 | Linear OOA(364, large, F3, 3, 5) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(367, large, F3, 3, 5) | [i] | ||
| 5 | Linear OOA(370, large, F3, 3, 5) | [i] | ||
| 6 | Linear OOA(373, large, F3, 3, 5) | [i] | ||
| 7 | Linear OOA(376, large, F3, 3, 5) | [i] | ||
| 8 | Linear OOA(379, large, F3, 3, 5) | [i] | ||
| 9 | Linear OOA(382, large, F3, 3, 5) | [i] | ||
| 10 | Linear OOA(385, large, F3, 3, 5) | [i] | ||
| 11 | Linear OOA(388, large, F3, 3, 5) | [i] | ||
| 12 | Linear OOA(391, large, F3, 3, 5) | [i] | ||
| 13 | Linear OOA(394, large, F3, 3, 5) | [i] | ||
| 14 | Linear OOA(397, large, F3, 3, 5) | [i] | ||
| 15 | Linear OOA(3103, large, F3, 3, 5) | [i] | ||
| 16 | Linear OOA(3106, large, F3, 3, 5) | [i] | ||
| 17 | Linear OOA(3109, large, F3, 3, 5) | [i] | ||
| 18 | Linear OOA(3112, large, F3, 3, 5) | [i] | ||
| 19 | Linear OOA(3115, large, F3, 3, 5) | [i] | ||
| 20 | Linear OOA(3118, large, F3, 3, 5) | [i] | ||
| 21 | Linear OOA(3121, large, F3, 3, 5) | [i] | ||
| 22 | Linear OOA(3124, large, F3, 3, 5) | [i] | ||
| 23 | Linear OOA(3127, large, F3, 3, 5) | [i] | ||
| 24 | Linear OOA(3130, large, F3, 3, 5) | [i] | ||
| 25 | Linear OOA(3133, large, F3, 3, 5) | [i] | ||
| 26 | Linear OOA(3136, large, F3, 3, 5) | [i] | ||
| 27 | Linear OOA(3139, large, F3, 3, 5) | [i] | ||
| 28 | Linear OOA(3142, large, F3, 3, 5) | [i] | ||
| 29 | Linear OOA(3145, large, F3, 3, 5) | [i] | ||
| 30 | Linear OOA(3151, large, F3, 3, 5) | [i] | ||
| 31 | Linear OOA(3154, large, F3, 3, 5) | [i] | ||
| 32 | Linear OOA(3157, large, F3, 3, 5) | [i] | ||
| 33 | Linear OOA(3160, large, F3, 3, 5) | [i] | ||
| 34 | Linear OOA(3163, large, F3, 3, 5) | [i] | ||
| 35 | Linear OOA(3166, large, F3, 3, 5) | [i] | ||
| 36 | Linear OOA(3169, large, F3, 3, 5) | [i] | ||
| 37 | Linear OOA(3172, large, F3, 3, 5) | [i] | ||
| 38 | Linear OOA(3175, large, F3, 3, 5) | [i] | ||
| 39 | Linear OOA(3178, large, F3, 3, 5) | [i] | ||
| 40 | Linear OOA(3181, large, F3, 3, 5) | [i] | ||
| 41 | Linear OOA(3184, large, F3, 3, 5) | [i] | ||
| 42 | Linear OOA(3187, large, F3, 3, 5) | [i] | ||
| 43 | Linear OOA(3190, large, F3, 3, 5) | [i] | ||
| 44 | Linear OOA(3193, large, F3, 3, 5) | [i] | ||
| 45 | Linear OOA(3199, large, F3, 3, 5) | [i] | ||
| 46 | Linear OOA(3202, large, F3, 3, 5) | [i] | ||
| 47 | Linear OOA(3205, large, F3, 3, 5) | [i] | ||
| 48 | Linear OOA(3208, large, F3, 3, 5) | [i] | ||
| 49 | Linear OOA(3211, large, F3, 3, 5) | [i] | ||
| 50 | Linear OOA(3214, large, F3, 3, 5) | [i] | ||
| 51 | Linear OOA(3217, large, F3, 3, 5) | [i] | ||
| 52 | Linear OOA(3220, large, F3, 3, 5) | [i] | ||
| 53 | Linear OOA(3223, large, F3, 3, 5) | [i] | ||
| 54 | Linear OOA(3226, large, F3, 3, 5) | [i] | ||
| 55 | Linear OOA(3229, large, F3, 3, 5) | [i] | ||
| 56 | Linear OOA(3232, large, F3, 3, 5) | [i] | ||
| 57 | Linear OOA(3235, large, F3, 3, 5) | [i] | ||
| 58 | Linear OOA(3238, large, F3, 3, 5) | [i] | ||
| 59 | Linear OOA(3241, large, F3, 3, 5) | [i] | ||
| 60 | Linear OOA(3247, large, F3, 3, 5) | [i] | ||
| 61 | Linear OOA(3250, large, F3, 3, 5) | [i] | ||
| 62 | Linear OOA(362, large, F3, 3, 5) | [i] | OOA Duplication | |