Information on Result #689689
Linear OA(934, 6566, F9, 10) (dual of [6566, 6532, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) 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 OA(933, 6565, F9, 9) (dual of [6565, 6532, 10]-code) | [i] | Truncation | |
| 2 | Linear OOA(934, 4059, F9, 2, 10) (dual of [(4059, 2), 8084, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(934, 4059, F9, 3, 10) (dual of [(4059, 3), 12143, 11]-NRT-code) | [i] | ||
| 4 | Digital (24, 34, 4059)-net over F9 | [i] | ||
| 5 | Linear OOA(934, 3283, F9, 2, 10) (dual of [(3283, 2), 6532, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(934, 2188, F9, 3, 10) (dual of [(2188, 3), 6530, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(934, 1313, F9, 10, 10) (dual of [(1313, 10), 13096, 11]-NRT-code) | [i] | OA Folding and Stacking | |