Information on Result #2254117
Linear OA(9129, 6565, F9, 36) (dual of [6565, 6436, 37]-code), using 1 times truncation based on linear OA(9130, 6566, F9, 37) (dual of [6566, 6436, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9125, 6561, F9, 35) (dual of [6561, 6436, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(9129, 6565, F9, 2, 36) (dual of [(6565, 2), 13001, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9129, 6565, F9, 3, 36) (dual of [(6565, 3), 19566, 37]-NRT-code) | [i] | ||
| 3 | Digital (93, 129, 6565)-net over F9 | [i] | ||
| 4 | Linear OOA(9129, 3282, F9, 2, 36) (dual of [(3282, 2), 6435, 37]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9129, 2188, F9, 3, 36) (dual of [(2188, 3), 6435, 37]-NRT-code) | [i] | ||