Information on Result #691481
Linear OA(939, 46, F9, 30) (dual of [46, 7, 31]-code), using construction X applied to Ce(29) ⊂ Ce(25) 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(934, 41, F9, 26) (dual of [41, 7, 27]-code), using an extension Ce(25) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(93, 5, F9, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), 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(9130, 137, F9, 101) (dual of [137, 7, 102]-code) | [i] | Juxtaposition | |
| 2 | Linear OOA(939, 23, F9, 2, 30) (dual of [(23, 2), 7, 31]-NRT-code) | [i] | OOA Folding | |