Information on Result #878361
Linear OOA(12837, 4194301, F128, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using OOA 2-folding based on linear OA(12837, 8388602, F128, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
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(12839, 4194302, F128, 2, 10) (dual of [(4194302, 2), 8388565, 11]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12841, 4194303, F128, 2, 10) (dual of [(4194303, 2), 8388565, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(12838, 4194301, F128, 2, 10) (dual of [(4194301, 2), 8388564, 11]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(12842, 4194430, F128, 2, 10) (dual of [(4194430, 2), 8388818, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(12843, 4194451, F128, 2, 10) (dual of [(4194451, 2), 8388859, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(12844, 4202429, F128, 2, 10) (dual of [(4202429, 2), 8404814, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(12845, 4202430, F128, 2, 10) (dual of [(4202430, 2), 8404815, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(12846, 4202558, F128, 2, 10) (dual of [(4202558, 2), 8405070, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(12847, 4210558, F128, 2, 10) (dual of [(4210558, 2), 8421069, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(12848, 4218686, F128, 2, 10) (dual of [(4218686, 2), 8437324, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(12849, 4226815, F128, 2, 10) (dual of [(4226815, 2), 8453581, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(12850, 5242878, F128, 2, 10) (dual of [(5242878, 2), 10485706, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(12851, 5242881, F128, 2, 10) (dual of [(5242881, 2), 10485711, 11]-NRT-code) | [i] | ||
| 14 | Linear OOA(12852, 5243007, F128, 2, 10) (dual of [(5243007, 2), 10485962, 11]-NRT-code) | [i] | ||
| 15 | Linear OOA(12853, 5259391, F128, 2, 10) (dual of [(5259391, 2), 10518729, 11]-NRT-code) | [i] | ||
| 16 | Linear OOA(12854, 8388602, F128, 2, 10) (dual of [(8388602, 2), 16777150, 11]-NRT-code) | [i] | ||
| 17 | Linear OOA(12847, 4210813, F128, 2, 10) (dual of [(4210813, 2), 8421579, 11]-NRT-code) | [i] | ||
| 18 | Linear OOA(12852, 5251197, F128, 2, 10) (dual of [(5251197, 2), 10502342, 11]-NRT-code) | [i] | ||
| 19 | Linear OOA(12853, 6307837, F128, 2, 10) (dual of [(6307837, 2), 12615621, 11]-NRT-code) | [i] | ||