Information on Result #979346
Linear OOA(8113, 2796201, F8, 3, 17) (dual of [(2796201, 3), 8388490, 18]-NRT-code), using OOA 3-folding based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(8113, 2796201, F8, 3, 16) (dual of [(2796201, 3), 8388490, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8116, 2796202, F8, 3, 17) (dual of [(2796202, 3), 8388490, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8119, 2796203, F8, 3, 17) (dual of [(2796203, 3), 8388490, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(8114, 2796201, F8, 3, 17) (dual of [(2796201, 3), 8388489, 18]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(8115, 2796201, F8, 3, 17) (dual of [(2796201, 3), 8388488, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(8121, 2796210, F8, 3, 17) (dual of [(2796210, 3), 8388509, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8122, 2796215, F8, 3, 17) (dual of [(2796215, 3), 8388523, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(8123, 2796218, F8, 3, 17) (dual of [(2796218, 3), 8388531, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(8124, 2796225, F8, 3, 17) (dual of [(2796225, 3), 8388551, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(8125, 2796226, F8, 3, 17) (dual of [(2796226, 3), 8388553, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(8126, 2796229, F8, 3, 17) (dual of [(2796229, 3), 8388561, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(8128, 2796266, F8, 3, 17) (dual of [(2796266, 3), 8388670, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(8129, 2796331, F8, 3, 17) (dual of [(2796331, 3), 8388864, 18]-NRT-code) | [i] | ||
| 14 | OOA(8127, 2796234, S8, 3, 17) | [i] | ||