Information on Result #686303
Linear OA(854, 2097177, F8, 9) (dual of [2097177, 2097123, 10]-code), using construction X applied to Ce(8) ⊂ Ce(4) based on
- linear OA(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(829, 2097152, F8, 5) (dual of [2097152, 2097123, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(84, 25, F8, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,8)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(853, 2097176, F8, 8) (dual of [2097176, 2097123, 9]-code) | [i] | Truncation | |
| 2 | Linear OOA(854, 2097177, F8, 2, 9) (dual of [(2097177, 2), 4194300, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(854, 2097177, F8, 3, 9) (dual of [(2097177, 3), 6291477, 10]-NRT-code) | [i] | ||
| 4 | Digital (45, 54, 2097177)-net over F8 | [i] | ||
| 5 | Linear OOA(854, 1048588, F8, 2, 9) (dual of [(1048588, 2), 2097122, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(854, 699059, F8, 3, 9) (dual of [(699059, 3), 2097123, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(854, 524294, F8, 9, 9) (dual of [(524294, 9), 4718592, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |