Information on Result #689351
Linear OA(956, 59054, F9, 13) (dual of [59054, 58998, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- 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(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(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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 OA(966, 59096, F9, 13) (dual of [59096, 59030, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(966, 59099, F9, 13) (dual of [59099, 59033, 14]-code) | [i] | ||
| 3 | Linear OOA(956, 29527, F9, 2, 13) (dual of [(29527, 2), 58998, 14]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(956, 19684, F9, 3, 13) (dual of [(19684, 3), 58996, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(956, 9842, F9, 13, 13) (dual of [(9842, 13), 127890, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |