Information on Result #731478
Linear OA(9122, 13150, F9, 29) (dual of [13150, 13028, 30]-code), using trace code based on linear OA(8161, 6575, F81, 29) (dual of [6575, 6514, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(23) [i] based on
- linear OA(8157, 6561, F81, 29) (dual of [6561, 6504, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(814, 14, F81, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), 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 OA(9123, 13151, F9, 29) (dual of [13151, 13028, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9122, 6575, F9, 2, 29) (dual of [(6575, 2), 13028, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9122, 4383, F9, 3, 29) (dual of [(4383, 3), 13027, 30]-NRT-code) | [i] | ||