Information on Result #699649
Linear OA(8178, 6608, F81, 32) (dual of [6608, 6530, 33]-code), using construction X applied to Ce(31) ⊂ Ce(15) 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(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8115, 47, F81, 15) (dual of [47, 32, 16]-code or 47-arc in PG(14,81)), using
- discarding factors / shortening the dual code based on linear OA(8115, 81, F81, 15) (dual of [81, 66, 16]-code or 81-arc in PG(14,81)), using
- Reed–Solomon code RS(66,81) [i]
- discarding factors / shortening the dual code based on linear OA(8115, 81, F81, 15) (dual of [81, 66, 16]-code or 81-arc in PG(14,81)), 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(8178, 3304, F81, 2, 32) (dual of [(3304, 2), 6530, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8178, 2202, F81, 3, 32) (dual of [(2202, 3), 6528, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(8178, 1652, F81, 4, 32) (dual of [(1652, 4), 6530, 33]-NRT-code) | [i] | ||