Information on Result #979623
Linear OOA(8127, 699053, F8, 3, 21) (dual of [(699053, 3), 2097032, 22]-NRT-code), using OOA 3-folding based on linear OA(8127, 2097159, F8, 21) (dual of [2097159, 2097032, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(8127, 2097152, F8, 21) (dual of [2097152, 2097025, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OOA(8139, 699070, F8, 3, 21) (dual of [(699070, 3), 2097071, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8140, 699077, F8, 3, 21) (dual of [(699077, 3), 2097091, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(8141, 699078, F8, 3, 21) (dual of [(699078, 3), 2097093, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(8142, 699081, F8, 3, 21) (dual of [(699081, 3), 2097101, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(8144, 699089, F8, 3, 21) (dual of [(699089, 3), 2097123, 22]-NRT-code) | [i] | ||
| 6 | OOA(8143, 699086, S8, 3, 21) | [i] | ||