Information on Result #699416
Linear OA(8121, 6563, F81, 11) (dual of [6563, 6542, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(8121, 6561, F81, 11) (dual of [6561, 6540, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(942, 13126, F9, 11) (dual of [13126, 13084, 12]-code) | [i] | Trace Code | |
| 2 | OA(2728, 6563, S27, 11) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8166, 13126, F81, 23) (dual of [13126, 13060, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8126, 6645, F81, 11) (dual of [6645, 6619, 12]-code) | [i] | ||
| 5 | Linear OA(8127, 6663, F81, 11) (dual of [6663, 6636, 12]-code) | [i] | ||
| 6 | Linear OA(8128, 13044, F81, 11) (dual of [13044, 13016, 12]-code) | [i] | ||
| 7 | Linear OA(8130, 13126, F81, 11) (dual of [13126, 13096, 12]-code) | [i] | ||