Information on Result #731407
Linear OA(986, 13126, F9, 22) (dual of [13126, 13040, 23]-code), using trace code based on linear OA(8143, 6563, F81, 22) (dual of [6563, 6520, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 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 OA(987, 13127, F9, 22) (dual of [13127, 13040, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(987, 13128, F9, 22) (dual of [13128, 13041, 23]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(986, 6563, F9, 2, 22) (dual of [(6563, 2), 13040, 23]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(986, 4375, F9, 3, 22) (dual of [(4375, 3), 13039, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(986, 1193, F9, 22, 22) (dual of [(1193, 22), 26160, 23]-NRT-code) | [i] | OA Folding and Stacking | |