Information on Result #699408
Linear OA(8131, 6563, F81, 16) (dual of [6563, 6532, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- 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(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(962, 13126, F9, 16) (dual of [13126, 13064, 17]-code) | [i] | Trace Code | |
| 2 | OA(2742, 6563, S27, 16) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8139, 6645, F81, 16) (dual of [6645, 6606, 17]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8140, 6663, F81, 16) (dual of [6663, 6623, 17]-code) | [i] | ||
| 5 | Linear OA(8141, 6679, F81, 16) (dual of [6679, 6638, 17]-code) | [i] | ||
| 6 | Linear OA(8142, 6681, F81, 16) (dual of [6681, 6639, 17]-code) | [i] | ||
| 7 | Linear OA(8143, 6727, F81, 16) (dual of [6727, 6684, 17]-code) | [i] | ||
| 8 | Linear OA(8144, 6745, F81, 16) (dual of [6745, 6701, 17]-code) | [i] | ||
| 9 | Linear OOA(8131, 3281, F81, 2, 16) (dual of [(3281, 2), 6531, 17]-NRT-code) | [i] | OOA Folding | |