Information on Result #690177
Linear OA(975, 737, F9, 28) (dual of [737, 662, 29]-code), using construction X applied to Ce(27) ⊂ Ce(24) based on
- linear OA(973, 729, F9, 28) (dual of [729, 656, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(967, 729, F9, 25) (dual of [729, 662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(975, 368, F9, 2, 28) (dual of [(368, 2), 661, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(975, 245, F9, 3, 28) (dual of [(245, 3), 660, 29]-NRT-code) | [i] | ||