Information on Result #699427
Linear OA(8180, 6566, F81, 40) (dual of [6566, 6486, 41]-code), using construction X applied to Ce(39) ⊂ Ce(37) 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(8175, 6561, F81, 38) (dual of [6561, 6486, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 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 | OA(27107, 6566, S27, 40) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8180, 3283, F81, 2, 40) (dual of [(3283, 2), 6486, 41]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8180, 2188, F81, 3, 40) (dual of [(2188, 3), 6484, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(8180, 1641, F81, 4, 40) (dual of [(1641, 4), 6484, 41]-NRT-code) | [i] | ||