Information on Result #1008940
Linear OOA(8162, 5592402, F8, 3, 21) (dual of [(5592402, 3), 16777044, 22]-NRT-code), using trace code based on linear OOA(6481, 2796201, F64, 3, 21) (dual of [(2796201, 3), 8388522, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6481, large, F64, 21) (dual of [large, large−81, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(8165, 5592403, F8, 3, 21) (dual of [(5592403, 3), 16777044, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8168, 5592404, F8, 3, 21) (dual of [(5592404, 3), 16777044, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(8171, 5592405, F8, 3, 21) (dual of [(5592405, 3), 16777044, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(8163, 5592402, F8, 3, 21) (dual of [(5592402, 3), 16777043, 22]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(8164, 5592402, F8, 3, 21) (dual of [(5592402, 3), 16777042, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(8172, 5592411, F8, 3, 21) (dual of [(5592411, 3), 16777061, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8173, 5592416, F8, 3, 21) (dual of [(5592416, 3), 16777075, 22]-NRT-code) | [i] | ||