Information on Result #689479
Linear OA(988, 59086, F9, 18) (dual of [59086, 58998, 19]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
- linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), 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(989, 59087, F9, 18) (dual of [59087, 58998, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(988, 29543, F9, 2, 18) (dual of [(29543, 2), 58998, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(988, 19695, F9, 3, 18) (dual of [(19695, 3), 58997, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(988, 6565, F9, 18, 18) (dual of [(6565, 18), 118082, 19]-NRT-code) | [i] | OA Folding and Stacking | |