Information on Result #878386
Linear OOA(12841, 4194301, F128, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using OOA 2-folding based on linear OA(12841, 8388602, F128, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(12841, large, F128, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(12843, 4194302, F128, 2, 11) (dual of [(4194302, 2), 8388561, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12845, 4194303, F128, 2, 11) (dual of [(4194303, 2), 8388561, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(12842, 4194301, F128, 2, 11) (dual of [(4194301, 2), 8388560, 12]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(12846, 4194430, F128, 2, 11) (dual of [(4194430, 2), 8388814, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(12847, 4194451, F128, 2, 11) (dual of [(4194451, 2), 8388855, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(12848, 4202429, F128, 2, 11) (dual of [(4202429, 2), 8404810, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(12849, 4202430, F128, 2, 11) (dual of [(4202430, 2), 8404811, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(12850, 4202558, F128, 2, 11) (dual of [(4202558, 2), 8405066, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(12851, 4210558, F128, 2, 11) (dual of [(4210558, 2), 8421065, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(12852, 4218686, F128, 2, 11) (dual of [(4218686, 2), 8437320, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(12853, 4226815, F128, 2, 11) (dual of [(4226815, 2), 8453577, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(12854, 5242878, F128, 2, 11) (dual of [(5242878, 2), 10485702, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(12855, 5242881, F128, 2, 11) (dual of [(5242881, 2), 10485707, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(12856, 5243007, F128, 2, 11) (dual of [(5243007, 2), 10485958, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(12857, 5259391, F128, 2, 11) (dual of [(5259391, 2), 10518725, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(12858, 8388602, F128, 2, 11) (dual of [(8388602, 2), 16777146, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(12851, 4210813, F128, 2, 11) (dual of [(4210813, 2), 8421575, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(12856, 5251197, F128, 2, 11) (dual of [(5251197, 2), 10502338, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(12857, 6307837, F128, 2, 11) (dual of [(6307837, 2), 12615617, 12]-NRT-code) | [i] | ||