Information on Result #2254074
Linear OA(987, 59080, F9, 18) (dual of [59080, 58993, 19]-code), using 1 times truncation based on linear OA(988, 59081, F9, 19) (dual of [59081, 58993, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(12) [i] 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(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(97, 32, F9, 5) (dual of [32, 25, 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 OOA(987, 29540, F9, 2, 18) (dual of [(29540, 2), 58993, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(987, 19693, F9, 3, 18) (dual of [(19693, 3), 58992, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(987, 6564, F9, 18, 18) (dual of [(6564, 18), 118065, 19]-NRT-code) | [i] | OA Folding and Stacking | |