Information on Result #689714
Linear OA(954, 6570, F9, 15) (dual of [6570, 6516, 16]-code), using construction X applied to Ce(14) ⊂ Ce(12) based on
- linear OA(953, 6561, F9, 15) (dual of [6561, 6508, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(945, 6561, F9, 13) (dual of [6561, 6516, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 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 OOA(954, 5497, F9, 2, 15) (dual of [(5497, 2), 10940, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(954, 5497, F9, 3, 15) (dual of [(5497, 3), 16437, 16]-NRT-code) | [i] | ||
| 3 | Digital (39, 54, 5497)-net over F9 | [i] | ||
| 4 | Linear OOA(954, 3285, F9, 2, 15) (dual of [(3285, 2), 6516, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(954, 2190, F9, 3, 15) (dual of [(2190, 3), 6516, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(954, 938, F9, 15, 15) (dual of [(938, 15), 14016, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |