Information on Result #689361
Linear OA(916, 59054, F9, 4) (dual of [59054, 59038, 5]-code), using construction X applied to Ce(3) ⊂ Ce(2) based on
- linear OA(916, 59049, F9, 4) (dual of [59049, 59033, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(911, 59049, F9, 3) (dual of [59049, 59038, 4]-code or 59049-cap in PG(10,9)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(918, 59064, F9, 4) (dual of [59064, 59046, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(916, 59054, F9, 2, 4) (dual of [(59054, 2), 118092, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(916, 59054, F9, 3, 4) (dual of [(59054, 3), 177146, 5]-NRT-code) | [i] | ||
| 4 | Linear OOA(916, 29527, F9, 2, 4) (dual of [(29527, 2), 59038, 5]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(916, 29527, F9, 3, 4) (dual of [(29527, 3), 88565, 5]-NRT-code) | [i] | OA Folding and Stacking | |