Information on Result #1014359
Linear OOA(8107, large, F8, 3, 10), using (u, u+v)-construction based on
- linear OOA(833, 4194301, F8, 3, 5) (dual of [(4194301, 3), 12582870, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(833, large, F8, 5) (dual of [large, large−33, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(833, large, F8, 5) (dual of [large, large−33, 6]-code), using
- linear OOA(874, 5592402, F8, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(6437, large, F64, 10) (dual of [large, large−37, 11]-code), using
- trace code [i] based on linear OOA(6437, 2796201, F64, 3, 10) (dual of [(2796201, 3), 8388566, 11]-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(8107, large, F8, 3, 9) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8107, large, F8, 3, 8) | [i] | ||
| 3 | Linear OOA(8107, large, F8, 3, 7) | [i] | ||
| 4 | Linear OOA(8107, large, F8, 3, 6) | [i] | ||
| 5 | Linear OOA(8107, large, F8, 3, 5) | [i] | ||
| 6 | Linear OOA(8107, large, F8, 3, 4) | [i] | ||
| 7 | Linear OOA(8107, large, F8, 3, 3) | [i] | ||
| 8 | Linear OOA(8110, large, F8, 3, 10) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(8113, large, F8, 3, 10) | [i] | ||
| 10 | Linear OOA(8116, large, F8, 3, 10) | [i] | ||
| 11 | Linear OOA(8119, large, F8, 3, 10) | [i] | ||
| 12 | Linear OOA(8122, large, F8, 3, 10) | [i] | ||
| 13 | Linear OOA(8125, large, F8, 3, 10) | [i] | ||
| 14 | Linear OOA(8128, large, F8, 3, 10) | [i] | ||
| 15 | Linear OOA(8134, large, F8, 3, 10) | [i] | ||
| 16 | Linear OOA(8137, large, F8, 3, 10) | [i] | ||
| 17 | Linear OOA(8140, large, F8, 3, 10) | [i] | ||
| 18 | Linear OOA(8143, large, F8, 3, 10) | [i] | ||
| 19 | Linear OOA(8146, large, F8, 3, 10) | [i] | ||
| 20 | Linear OOA(8149, large, F8, 3, 10) | [i] | ||
| 21 | Linear OOA(8152, large, F8, 3, 10) | [i] | ||
| 22 | Linear OOA(8158, large, F8, 3, 10) | [i] | ||
| 23 | Linear OOA(8161, large, F8, 3, 10) | [i] | ||
| 24 | Linear OOA(8164, large, F8, 3, 10) | [i] | ||
| 25 | Linear OOA(8167, large, F8, 3, 10) | [i] | ||
| 26 | Linear OOA(8170, large, F8, 3, 10) | [i] | ||
| 27 | Linear OOA(8173, large, F8, 3, 10) | [i] | ||
| 28 | Linear OOA(8108, large, F8, 3, 10) | [i] | OOA Duplication | |
| 29 | Linear OOA(8109, large, F8, 3, 10) | [i] | ||
| 30 | Linear OOA(8107, 4194301, F8, 15, 10) (dual of [(4194301, 15), 62914408, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |