Information on Result #1014497
Linear OOA(8139, large, F8, 3, 13), using (u, u+v)-construction based on
- linear OOA(841, 2796201, F8, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(841, large, F8, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(841, large, F8, 6) (dual of [large, large−41, 7]-code), using
- linear OOA(898, 5592402, F8, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-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(8139, large, F8, 3, 12) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8139, large, F8, 3, 11) | [i] | ||
| 3 | Linear OOA(8139, large, F8, 3, 10) | [i] | ||
| 4 | Linear OOA(8139, large, F8, 3, 9) | [i] | ||
| 5 | Linear OOA(8139, large, F8, 3, 8) | [i] | ||
| 6 | Linear OOA(8139, large, F8, 3, 7) | [i] | ||
| 7 | Linear OOA(8139, large, F8, 3, 6) | [i] | ||
| 8 | Linear OOA(8139, large, F8, 3, 5) | [i] | ||
| 9 | Linear OOA(8139, large, F8, 3, 4) | [i] | ||
| 10 | Linear OOA(8139, large, F8, 3, 3) | [i] | ||
| 11 | Linear OOA(8142, large, F8, 3, 13) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(8145, large, F8, 3, 13) | [i] | ||
| 13 | Linear OOA(8148, large, F8, 3, 13) | [i] | ||
| 14 | Linear OOA(8151, large, F8, 3, 13) | [i] | ||
| 15 | Linear OOA(8154, large, F8, 3, 13) | [i] | ||
| 16 | Linear OOA(8157, large, F8, 3, 13) | [i] | ||
| 17 | Linear OOA(8160, large, F8, 3, 13) | [i] | ||
| 18 | Linear OOA(8166, large, F8, 3, 13) | [i] | ||
| 19 | Linear OOA(8169, large, F8, 3, 13) | [i] | ||
| 20 | Linear OOA(8172, large, F8, 3, 13) | [i] | ||
| 21 | Linear OOA(8140, large, F8, 3, 13) | [i] | OOA Duplication | |
| 22 | Linear OOA(8141, large, F8, 3, 13) | [i] | ||
| 23 | Linear OOA(8139, 4194301, F8, 15, 13) (dual of [(4194301, 15), 62914376, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |