Information on Result #1443491
Linear OOA(854, 2097177, F8, 2, 9) (dual of [(2097177, 2), 4194300, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(854, 2097177, F8, 9) (dual of [2097177, 2097123, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] 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: 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 OOA(854, 1048588, F8, 3, 9) (dual of [(1048588, 3), 3145710, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(854, 1048588, F8, 10, 9) (dual of [(1048588, 10), 10485826, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |