Information on Result #2252924
Linear OA(933, 6565, F9, 9) (dual of [6565, 6532, 10]-code), using 1 times truncation based on linear OA(934, 6566, F9, 10) (dual of [6566, 6532, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(929, 6561, F9, 8) (dual of [6561, 6532, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 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(933, 6565, F9, 2, 9) (dual of [(6565, 2), 13097, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(933, 6565, F9, 3, 9) (dual of [(6565, 3), 19662, 10]-NRT-code) | [i] | ||
| 3 | Digital (24, 33, 6565)-net over F9 | [i] | ||
| 4 | Linear OOA(933, 3282, F9, 2, 9) (dual of [(3282, 2), 6531, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(933, 2188, F9, 3, 9) (dual of [(2188, 3), 6531, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(933, 1641, F9, 9, 9) (dual of [(1641, 9), 14736, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |