Information on Result #699645
Linear OA(8177, 6605, F81, 32) (dual of [6605, 6528, 33]-code), using construction X applied to Ce(31) ⊂ Ce(16) based on
- linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8133, 6561, F81, 17) (dual of [6561, 6528, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(8114, 44, F81, 14) (dual of [44, 30, 15]-code or 44-arc in PG(13,81)), using
- discarding factors / shortening the dual code based on linear OA(8114, 81, F81, 14) (dual of [81, 67, 15]-code or 81-arc in PG(13,81)), using
- Reed–Solomon code RS(67,81) [i]
- discarding factors / shortening the dual code based on linear OA(8114, 81, F81, 14) (dual of [81, 67, 15]-code or 81-arc in PG(13,81)), 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 OOA(8177, 3302, F81, 2, 32) (dual of [(3302, 2), 6527, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8177, 2201, F81, 3, 32) (dual of [(2201, 3), 6526, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(8177, 1651, F81, 4, 32) (dual of [(1651, 4), 6527, 33]-NRT-code) | [i] | ||