Information on Result #894915
Linear OOA(382, 8388602, F3, 2, 7) (dual of [(8388602, 2), 16777122, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(321, 7426048, F3, 2, 3) (dual of [(7426048, 2), 14852075, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(321, 7426048, F3, 3) (dual of [7426048, 7426027, 4]-code or 7426048-cap in PG(20,3)), using
- linear OOA(361, 4194301, F3, 2, 7) (dual of [(4194301, 2), 8388541, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- OOA 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(384, large, F3, 2, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(386, large, F3, 2, 7) | [i] | ||
| 3 | Linear OOA(388, large, F3, 2, 7) | [i] | ||
| 4 | Linear OOA(390, large, F3, 2, 7) | [i] | ||
| 5 | Linear OOA(392, large, F3, 2, 7) | [i] | ||
| 6 | Linear OOA(394, large, F3, 2, 7) | [i] | ||
| 7 | Linear OOA(396, large, F3, 2, 7) | [i] | ||
| 8 | Linear OOA(398, large, F3, 2, 7) | [i] | ||
| 9 | Linear OOA(3100, large, F3, 2, 7) | [i] | ||
| 10 | Linear OOA(3102, large, F3, 2, 7) | [i] | ||
| 11 | Linear OOA(3104, large, F3, 2, 7) | [i] | ||
| 12 | Linear OOA(3106, large, F3, 2, 7) | [i] | ||
| 13 | Linear OOA(3110, large, F3, 2, 7) | [i] | ||
| 14 | Linear OOA(3112, large, F3, 2, 7) | [i] | ||
| 15 | Linear OOA(3114, large, F3, 2, 7) | [i] | ||
| 16 | Linear OOA(3116, large, F3, 2, 7) | [i] | ||
| 17 | Linear OOA(3118, large, F3, 2, 7) | [i] | ||
| 18 | Linear OOA(3120, large, F3, 2, 7) | [i] | ||
| 19 | Linear OOA(3122, large, F3, 2, 7) | [i] | ||
| 20 | Linear OOA(3124, large, F3, 2, 7) | [i] | ||
| 21 | Linear OOA(3126, large, F3, 2, 7) | [i] | ||
| 22 | Linear OOA(3128, large, F3, 2, 7) | [i] | ||
| 23 | Linear OOA(3130, large, F3, 2, 7) | [i] | ||
| 24 | Linear OOA(3132, large, F3, 2, 7) | [i] | ||
| 25 | Linear OOA(3134, large, F3, 2, 7) | [i] | ||
| 26 | Linear OOA(3136, large, F3, 2, 7) | [i] | ||
| 27 | Linear OOA(3138, large, F3, 2, 7) | [i] | ||
| 28 | Linear OOA(3140, large, F3, 2, 7) | [i] | ||
| 29 | Linear OOA(3142, large, F3, 2, 7) | [i] | ||
| 30 | Linear OOA(3144, large, F3, 2, 7) | [i] | ||
| 31 | Linear OOA(3146, large, F3, 2, 7) | [i] | ||
| 32 | Linear OOA(3148, large, F3, 2, 7) | [i] | ||
| 33 | Linear OOA(3150, large, F3, 2, 7) | [i] | ||
| 34 | Linear OOA(3152, large, F3, 2, 7) | [i] | ||
| 35 | Linear OOA(3154, large, F3, 2, 7) | [i] | ||
| 36 | Linear OOA(3156, large, F3, 2, 7) | [i] | ||
| 37 | Linear OOA(3158, large, F3, 2, 7) | [i] | ||
| 38 | Linear OOA(3160, large, F3, 2, 7) | [i] | ||
| 39 | Linear OOA(3162, large, F3, 2, 7) | [i] | ||
| 40 | Linear OOA(3164, large, F3, 2, 7) | [i] | ||
| 41 | Linear OOA(3166, large, F3, 2, 7) | [i] | ||
| 42 | Linear OOA(3168, large, F3, 2, 7) | [i] | ||
| 43 | Linear OOA(3170, large, F3, 2, 7) | [i] | ||
| 44 | Linear OOA(3172, large, F3, 2, 7) | [i] | ||
| 45 | Linear OOA(3174, large, F3, 2, 7) | [i] | ||
| 46 | Linear OOA(3176, large, F3, 2, 7) | [i] | ||
| 47 | Linear OOA(3178, large, F3, 2, 7) | [i] | ||
| 48 | Linear OOA(3180, large, F3, 2, 7) | [i] | ||
| 49 | Linear OOA(3182, large, F3, 2, 7) | [i] | ||
| 50 | Linear OOA(3184, large, F3, 2, 7) | [i] | ||
| 51 | Linear OOA(3186, large, F3, 2, 7) | [i] | ||
| 52 | Linear OOA(3188, large, F3, 2, 7) | [i] | ||
| 53 | Linear OOA(3190, large, F3, 2, 7) | [i] | ||
| 54 | Linear OOA(3192, large, F3, 2, 7) | [i] | ||
| 55 | Linear OOA(3194, large, F3, 2, 7) | [i] | ||
| 56 | Linear OOA(3196, large, F3, 2, 7) | [i] | ||
| 57 | Linear OOA(3198, large, F3, 2, 7) | [i] | ||
| 58 | Linear OOA(3200, large, F3, 2, 7) | [i] | ||
| 59 | Linear OOA(3202, large, F3, 2, 7) | [i] | ||
| 60 | Linear OOA(3204, large, F3, 2, 7) | [i] | ||
| 61 | Linear OOA(3206, large, F3, 2, 7) | [i] | ||
| 62 | Linear OOA(3208, large, F3, 2, 7) | [i] | ||
| 63 | Linear OOA(3210, large, F3, 2, 7) | [i] | ||
| 64 | Linear OOA(3212, large, F3, 2, 7) | [i] | ||
| 65 | Linear OOA(3214, large, F3, 2, 7) | [i] | ||
| 66 | Linear OOA(3216, large, F3, 2, 7) | [i] | ||
| 67 | Linear OOA(3218, large, F3, 2, 7) | [i] | ||
| 68 | Linear OOA(3220, large, F3, 2, 7) | [i] | ||
| 69 | Linear OOA(3222, large, F3, 2, 7) | [i] | ||
| 70 | Linear OOA(3224, large, F3, 2, 7) | [i] | ||
| 71 | Linear OOA(3226, large, F3, 2, 7) | [i] | ||
| 72 | Linear OOA(3228, large, F3, 2, 7) | [i] | ||
| 73 | Linear OOA(3230, large, F3, 2, 7) | [i] | ||
| 74 | Linear OOA(3232, large, F3, 2, 7) | [i] | ||
| 75 | Linear OOA(3234, large, F3, 2, 7) | [i] | ||
| 76 | Linear OOA(3236, large, F3, 2, 7) | [i] | ||
| 77 | Linear OOA(3238, large, F3, 2, 7) | [i] | ||
| 78 | Linear OOA(3240, large, F3, 2, 7) | [i] | ||
| 79 | Linear OOA(3242, large, F3, 2, 7) | [i] | ||
| 80 | Linear OOA(3244, large, F3, 2, 7) | [i] | ||
| 81 | Linear OOA(3246, large, F3, 2, 7) | [i] | ||
| 82 | Linear OOA(3248, large, F3, 2, 7) | [i] | ||
| 83 | Linear OOA(3250, large, F3, 2, 7) | [i] | ||
| 84 | Linear OOA(383, 8388602, F3, 2, 7) (dual of [(8388602, 2), 16777121, 8]-NRT-code) | [i] | OOA Duplication | |
| 85 | Linear OOA(382, 4194301, F3, 3, 7) (dual of [(4194301, 3), 12582821, 8]-NRT-code) | [i] | OOA Folding | |