Information on Result #689863
Linear OA(998, 6583, F9, 26) (dual of [6583, 6485, 27]-code), using construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(20) based on
- linear OA(993, 6561, F9, 26) (dual of [6561, 6468, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(973, 6561, F9, 21) (dual of [6561, 6488, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(94, 21, F9, 3) (dual of [21, 17, 4]-code or 21-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(998, 3291, F9, 2, 26) (dual of [(3291, 2), 6484, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(998, 2194, F9, 3, 26) (dual of [(2194, 3), 6484, 27]-NRT-code) | [i] | ||