Information on Result #979208
Linear OOA(896, 699061, F8, 3, 15) (dual of [(699061, 3), 2097087, 16]-NRT-code), using OOA 3-folding based on linear OA(896, 2097183, F8, 15) (dual of [2097183, 2097087, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(896, 2097184, F8, 15) (dual of [2097184, 2097088, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(864, 2097152, F8, 11) (dual of [2097152, 2097088, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(84, 32, F8, 3) (dual of [32, 28, 4]-code or 32-cap in PG(3,8)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
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 OOA(897, 699061, F8, 3, 15) (dual of [(699061, 3), 2097086, 16]-NRT-code) | [i] | OOA Duplication | |