Information on Result #1050911
Linear OOA(12813, 4194301, F128, 4, 4) (dual of [(4194301, 4), 16777191, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(12813, 8388602, F128, 4) (dual of [8388602, 8388589, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(12813, large, F128, 4) (dual of [large, large−13, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [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(12814, 4194301, F128, 4, 4) (dual of [(4194301, 4), 16777190, 5]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12844, 4194302, F128, 4, 8) (dual of [(4194302, 4), 16777164, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12846, 4194558, F128, 4, 8) (dual of [(4194558, 4), 16778186, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(12847, 4194600, F128, 4, 8) (dual of [(4194600, 4), 16778353, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(12848, 4210556, F128, 4, 8) (dual of [(4210556, 4), 16842176, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(12849, 4210686, F128, 4, 8) (dual of [(4210686, 4), 16842695, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(12850, 4227324, F128, 4, 8) (dual of [(4227324, 4), 16909246, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(12851, 4227366, F128, 4, 8) (dual of [(4227366, 4), 16909413, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(12852, 6291454, F128, 4, 8) (dual of [(6291454, 4), 25165764, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(12853, 6291460, F128, 4, 8) (dual of [(6291460, 4), 25165787, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(12854, 6291712, F128, 4, 8) (dual of [(6291712, 4), 25166794, 9]-NRT-code) | [i] | ||
| 12 | Linear OOA(12855, 8388602, F128, 4, 8) (dual of [(8388602, 4), 33554353, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(12857, large, F128, 4, 8) | [i] | ||
| 14 | Linear OOA(12848, 4194302, F128, 4, 9) (dual of [(4194302, 4), 16777160, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(12850, 4194558, F128, 4, 9) (dual of [(4194558, 4), 16778182, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(12851, 4194600, F128, 4, 9) (dual of [(4194600, 4), 16778349, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(12852, 4210556, F128, 4, 9) (dual of [(4210556, 4), 16842172, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(12853, 4210686, F128, 4, 9) (dual of [(4210686, 4), 16842691, 10]-NRT-code) | [i] | ||
| 19 | Linear OOA(12854, 4227324, F128, 4, 9) (dual of [(4227324, 4), 16909242, 10]-NRT-code) | [i] | ||
| 20 | Linear OOA(12855, 4227366, F128, 4, 9) (dual of [(4227366, 4), 16909409, 10]-NRT-code) | [i] | ||
| 21 | Linear OOA(12856, 6291454, F128, 4, 9) (dual of [(6291454, 4), 25165760, 10]-NRT-code) | [i] | ||
| 22 | Linear OOA(12857, 6291460, F128, 4, 9) (dual of [(6291460, 4), 25165783, 10]-NRT-code) | [i] | ||
| 23 | Linear OOA(12858, 6291712, F128, 4, 9) (dual of [(6291712, 4), 25166790, 10]-NRT-code) | [i] | ||
| 24 | Linear OOA(12859, 8388602, F128, 4, 9) (dual of [(8388602, 4), 33554349, 10]-NRT-code) | [i] | ||
| 25 | Linear OOA(12861, large, F128, 4, 9) | [i] | ||
| 26 | Digital (9, 13, 4194301)-net over F128 | [i] | Net Defined by OOA | |