Information on Result #1014317
Linear OOA(891, large, F8, 3, 9), using (u, u+v)-construction based on
- linear OOA(825, 4194301, F8, 3, 4) (dual of [(4194301, 3), 12582878, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(825, 8388602, F8, 4) (dual of [8388602, 8388577, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(825, large, F8, 4) (dual of [large, large−25, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(825, large, F8, 4) (dual of [large, large−25, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(825, 8388602, F8, 4) (dual of [8388602, 8388577, 5]-code), using
- linear OOA(866, 5592402, F8, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
- trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(891, large, F8, 3, 8) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(891, large, F8, 3, 7) | [i] | ||
| 3 | Linear OOA(891, large, F8, 3, 6) | [i] | ||
| 4 | Linear OOA(891, large, F8, 3, 5) | [i] | ||
| 5 | Linear OOA(891, large, F8, 3, 4) | [i] | ||
| 6 | Linear OOA(891, large, F8, 3, 3) | [i] | ||
| 7 | Linear OOA(894, large, F8, 3, 9) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(897, large, F8, 3, 9) | [i] | ||
| 9 | Linear OOA(8100, large, F8, 3, 9) | [i] | ||
| 10 | Linear OOA(8103, large, F8, 3, 9) | [i] | ||
| 11 | Linear OOA(8106, large, F8, 3, 9) | [i] | ||
| 12 | Linear OOA(8109, large, F8, 3, 9) | [i] | ||
| 13 | Linear OOA(8112, large, F8, 3, 9) | [i] | ||
| 14 | Linear OOA(8118, large, F8, 3, 9) | [i] | ||
| 15 | Linear OOA(8121, large, F8, 3, 9) | [i] | ||
| 16 | Linear OOA(8124, large, F8, 3, 9) | [i] | ||
| 17 | Linear OOA(8127, large, F8, 3, 9) | [i] | ||
| 18 | Linear OOA(8130, large, F8, 3, 9) | [i] | ||
| 19 | Linear OOA(8133, large, F8, 3, 9) | [i] | ||
| 20 | Linear OOA(8136, large, F8, 3, 9) | [i] | ||
| 21 | Linear OOA(8142, large, F8, 3, 9) | [i] | ||
| 22 | Linear OOA(8145, large, F8, 3, 9) | [i] | ||
| 23 | Linear OOA(8148, large, F8, 3, 9) | [i] | ||
| 24 | Linear OOA(8151, large, F8, 3, 9) | [i] | ||
| 25 | Linear OOA(8154, large, F8, 3, 9) | [i] | ||
| 26 | Linear OOA(8157, large, F8, 3, 9) | [i] | ||
| 27 | Linear OOA(8160, large, F8, 3, 9) | [i] | ||
| 28 | Linear OOA(8166, large, F8, 3, 9) | [i] | ||
| 29 | Linear OOA(8169, large, F8, 3, 9) | [i] | ||
| 30 | Linear OOA(8172, large, F8, 3, 9) | [i] | ||
| 31 | Linear OOA(892, large, F8, 3, 9) | [i] | OOA Duplication | |
| 32 | Linear OOA(893, large, F8, 3, 9) | [i] | ||