Information on Result #1100707
Linear OOA(3148, 4194301, F3, 5, 10) (dual of [(4194301, 5), 20971357, 11]-NRT-code), using OOA 2-folding based on linear OOA(3148, 8388602, F3, 3, 10) (dual of [(8388602, 3), 25165658, 11]-NRT-code), using
- trace code [i] based on linear OOA(974, 4194301, F9, 3, 10) (dual of [(4194301, 3), 12582829, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(974, 8388602, F9, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-code), using
- trace code [i] based on linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- trace code [i] based on linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(974, 8388602, F9, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-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(3153, 4194305, F3, 5, 10) (dual of [(4194305, 5), 20971372, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3154, 4194308, F3, 5, 10) (dual of [(4194308, 5), 20971386, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(3155, 4194312, F3, 5, 10) (dual of [(4194312, 5), 20971405, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(3156, 4194319, F3, 5, 10) (dual of [(4194319, 5), 20971439, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(3157, 4194329, F3, 5, 10) (dual of [(4194329, 5), 20971488, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(3158, 4194339, F3, 5, 10) (dual of [(4194339, 5), 20971537, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(3159, 4194378, F3, 5, 10) (dual of [(4194378, 5), 20971731, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(3160, 4194396, F3, 5, 10) (dual of [(4194396, 5), 20971820, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(3161, 4194404, F3, 5, 10) (dual of [(4194404, 5), 20971859, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(3163, 4194418, F3, 5, 10) (dual of [(4194418, 5), 20971927, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(3164, 4194458, F3, 5, 10) (dual of [(4194458, 5), 20972126, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(3165, 4194532, F3, 5, 10) (dual of [(4194532, 5), 20972495, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(3166, 4194586, F3, 5, 10) (dual of [(4194586, 5), 20972764, 11]-NRT-code) | [i] | ||
| 14 | Linear OOA(3167, 4194668, F3, 5, 10) (dual of [(4194668, 5), 20973173, 11]-NRT-code) | [i] | ||
| 15 | Linear OOA(3168, 4194671, F3, 5, 10) (dual of [(4194671, 5), 20973187, 11]-NRT-code) | [i] | ||
| 16 | Linear OOA(3169, 4195355, F3, 5, 10) (dual of [(4195355, 5), 20976606, 11]-NRT-code) | [i] | ||
| 17 | Linear OOA(3170, 4195397, F3, 5, 10) (dual of [(4195397, 5), 20976815, 11]-NRT-code) | [i] | ||
| 18 | Linear OOA(3171, 4195398, F3, 5, 10) (dual of [(4195398, 5), 20976819, 11]-NRT-code) | [i] | ||
| 19 | Linear OOA(3172, 4195401, F3, 5, 10) (dual of [(4195401, 5), 20976833, 11]-NRT-code) | [i] | ||
| 20 | Linear OOA(3194, 8388602, F3, 5, 10) (dual of [(8388602, 5), 41942816, 11]-NRT-code) | [i] | ||