Information on Result #979781
Linear OOA(8141, 699053, F8, 3, 23) (dual of [(699053, 3), 2097018, 24]-NRT-code), using OOA 3-folding based on linear OA(8141, 2097159, F8, 23) (dual of [2097159, 2097018, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(8141, 2097152, F8, 23) (dual of [2097152, 2097011, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(8155, 699077, F8, 3, 23) (dual of [(699077, 3), 2097076, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8156, 699078, F8, 3, 23) (dual of [(699078, 3), 2097078, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(8157, 699081, F8, 3, 23) (dual of [(699081, 3), 2097086, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(8159, 699087, F8, 3, 23) (dual of [(699087, 3), 2097102, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(8160, 699088, F8, 3, 23) (dual of [(699088, 3), 2097104, 24]-NRT-code) | [i] | ||