Information on Result #699372
Linear OA(8179, 6563, F81, 40) (dual of [6563, 6484, 41]-code), using construction X applied to Ce(39) ⊂ Ce(38) based on
- linear OA(8179, 6561, F81, 40) (dual of [6561, 6482, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(8177, 6561, F81, 39) (dual of [6561, 6484, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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 | OA(27106, 6563, S27, 40) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8179, 3281, F81, 2, 40) (dual of [(3281, 2), 6483, 41]-NRT-code) | [i] | OOA Folding | |