Information on Result #691504
Linear OA(940, 48, F9, 30) (dual of [48, 8, 31]-code), using construction X applied to Ce(29) ⊂ Ce(24) based on
- linear OA(936, 41, F9, 30) (dual of [41, 5, 31]-code), using an extension Ce(29) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(933, 41, F9, 25) (dual of [41, 8, 26]-code), using an extension Ce(24) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(94, 7, F9, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(939, 47, F9, 29) (dual of [47, 8, 30]-code) | [i] | Truncation | |
| 2 | Linear OOA(940, 24, F9, 2, 30) (dual of [(24, 2), 8, 31]-NRT-code) | [i] | OOA Folding | |