Information on Result #689709
Linear OA(978, 6570, F9, 22) (dual of [6570, 6492, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(977, 6561, F9, 22) (dual of [6561, 6484, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(969, 6561, F9, 20) (dual of [6561, 6492, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-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(978, 4887, F9, 2, 22) (dual of [(4887, 2), 9696, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(978, 4887, F9, 3, 22) (dual of [(4887, 3), 14583, 23]-NRT-code) | [i] | ||
| 3 | Digital (56, 78, 4887)-net over F9 | [i] | ||
| 4 | Linear OOA(978, 3285, F9, 2, 22) (dual of [(3285, 2), 6492, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(978, 2190, F9, 3, 22) (dual of [(2190, 3), 6492, 23]-NRT-code) | [i] | ||