Information on Result #2266367
Linear OA(3187, 6619, F3, 32) (dual of [6619, 6432, 33]-code), using 3 times code embedding in larger space based on linear OA(3184, 6616, F3, 32) (dual of [6616, 6432, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3129, 6561, F3, 25) (dual of [6561, 6432, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(315, 55, F3, 6) (dual of [55, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), 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(3187, 5440, F3, 2, 32) (dual of [(5440, 2), 10693, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3187, 5440, F3, 3, 32) (dual of [(5440, 3), 16133, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3187, 5440, F3, 4, 32) (dual of [(5440, 4), 21573, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3187, 5440, F3, 5, 32) (dual of [(5440, 5), 27013, 33]-NRT-code) | [i] | ||
| 5 | Digital (155, 187, 5440)-net over F3 | [i] | ||