Information on Result #690128
Linear OA(998, 733, F9, 37) (dual of [733, 635, 38]-code), using construction X applied to Ce(36) ⊂ Ce(34) based on
- linear OA(997, 729, F9, 37) (dual of [729, 632, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(994, 729, F9, 35) (dual of [729, 635, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(91, 4, F9, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-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 OOA(998, 366, F9, 2, 37) (dual of [(366, 2), 634, 38]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(998, 244, F9, 3, 37) (dual of [(244, 3), 634, 38]-NRT-code) | [i] | ||