Information on Result #689385
Linear OA(952, 59060, F9, 12) (dual of [59060, 59008, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- 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(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 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 OA(953, 59061, F9, 12) (dual of [59061, 59008, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(952, 41636, F9, 2, 12) (dual of [(41636, 2), 83220, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(952, 41636, F9, 3, 12) (dual of [(41636, 3), 124856, 13]-NRT-code) | [i] | ||
| 4 | Digital (40, 52, 41636)-net over F9 | [i] | ||
| 5 | Linear OOA(952, 29530, F9, 2, 12) (dual of [(29530, 2), 59008, 13]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(952, 19686, F9, 3, 12) (dual of [(19686, 3), 59006, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(952, 9843, F9, 12, 12) (dual of [(9843, 12), 118064, 13]-NRT-code) | [i] | OA Folding and Stacking | |