Information on Result #893791
Linear OOA(3146, 8388602, F3, 2, 11) (dual of [(8388602, 2), 16777058, 12]-NRT-code), using trace code based on linear OOA(973, 4194301, F9, 2, 11) (dual of [(4194301, 2), 8388529, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(973, 8388602, F9, 11) (dual of [8388602, 8388529, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-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(3148, large, F3, 2, 11) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3150, large, F3, 2, 11) | [i] | ||
| 3 | Linear OOA(3152, large, F3, 2, 11) | [i] | ||
| 4 | Linear OOA(3154, large, F3, 2, 11) | [i] | ||
| 5 | Linear OOA(3156, large, F3, 2, 11) | [i] | ||
| 6 | Linear OOA(3158, large, F3, 2, 11) | [i] | ||
| 7 | Linear OOA(3160, large, F3, 2, 11) | [i] | ||
| 8 | Linear OOA(3162, large, F3, 2, 11) | [i] | ||
| 9 | Linear OOA(3164, large, F3, 2, 11) | [i] | ||
| 10 | Linear OOA(3166, large, F3, 2, 11) | [i] | ||
| 11 | Linear OOA(3168, large, F3, 2, 11) | [i] | ||
| 12 | Linear OOA(3170, large, F3, 2, 11) | [i] | ||
| 13 | Linear OOA(3172, large, F3, 2, 11) | [i] | ||
| 14 | Linear OOA(3174, large, F3, 2, 11) | [i] | ||
| 15 | Linear OOA(3176, large, F3, 2, 11) | [i] | ||
| 16 | Linear OOA(3178, large, F3, 2, 11) | [i] | ||
| 17 | Linear OOA(3180, large, F3, 2, 11) | [i] | ||
| 18 | Linear OOA(3182, large, F3, 2, 11) | [i] | ||
| 19 | Linear OOA(3184, large, F3, 2, 11) | [i] | ||
| 20 | Linear OOA(3186, large, F3, 2, 11) | [i] | ||
| 21 | Linear OOA(3188, large, F3, 2, 11) | [i] | ||
| 22 | Linear OOA(3190, large, F3, 2, 11) | [i] | ||
| 23 | Linear OOA(3192, large, F3, 2, 11) | [i] | ||
| 24 | Linear OOA(3194, large, F3, 2, 11) | [i] | ||
| 25 | Linear OOA(3196, large, F3, 2, 11) | [i] | ||
| 26 | Linear OOA(3198, large, F3, 2, 11) | [i] | ||
| 27 | Linear OOA(3200, large, F3, 2, 11) | [i] | ||
| 28 | Linear OOA(3202, large, F3, 2, 11) | [i] | ||
| 29 | Linear OOA(3204, large, F3, 2, 11) | [i] | ||
| 30 | Linear OOA(3206, large, F3, 2, 11) | [i] | ||
| 31 | Linear OOA(3208, large, F3, 2, 11) | [i] | ||
| 32 | Linear OOA(3210, large, F3, 2, 11) | [i] | ||
| 33 | Linear OOA(3212, large, F3, 2, 11) | [i] | ||
| 34 | Linear OOA(3214, large, F3, 2, 11) | [i] | ||
| 35 | Linear OOA(3216, large, F3, 2, 11) | [i] | ||
| 36 | Linear OOA(3218, large, F3, 2, 11) | [i] | ||
| 37 | Linear OOA(3220, large, F3, 2, 11) | [i] | ||
| 38 | Linear OOA(3222, large, F3, 2, 11) | [i] | ||
| 39 | Linear OOA(3224, large, F3, 2, 11) | [i] | ||
| 40 | Linear OOA(3226, large, F3, 2, 11) | [i] | ||
| 41 | Linear OOA(3228, large, F3, 2, 11) | [i] | ||
| 42 | Linear OOA(3230, large, F3, 2, 11) | [i] | ||
| 43 | Linear OOA(3232, large, F3, 2, 11) | [i] | ||
| 44 | Linear OOA(3234, large, F3, 2, 11) | [i] | ||
| 45 | Linear OOA(3236, large, F3, 2, 11) | [i] | ||
| 46 | Linear OOA(3238, large, F3, 2, 11) | [i] | ||
| 47 | Linear OOA(3240, large, F3, 2, 11) | [i] | ||
| 48 | Linear OOA(3242, large, F3, 2, 11) | [i] | ||
| 49 | Linear OOA(3244, large, F3, 2, 11) | [i] | ||
| 50 | Linear OOA(3246, large, F3, 2, 11) | [i] | ||
| 51 | Linear OOA(3248, large, F3, 2, 11) | [i] | ||
| 52 | Linear OOA(3250, large, F3, 2, 11) | [i] | ||
| 53 | Linear OOA(3147, 8388602, F3, 2, 11) (dual of [(8388602, 2), 16777057, 12]-NRT-code) | [i] | OOA Duplication | |
| 54 | Linear OOA(3146, 4194301, F3, 3, 11) (dual of [(4194301, 3), 12582757, 12]-NRT-code) | [i] | OOA Folding | |
| 55 | Linear OOA(3146, 4194301, F3, 4, 11) (dual of [(4194301, 4), 16777058, 12]-NRT-code) | [i] | ||
| 56 | Linear OOA(3146, 2796200, F3, 14, 11) (dual of [(2796200, 14), 39146654, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |