Information on Result #1411575
Linear OOA(3154, 730, F3, 2, 38) (dual of [(730, 2), 1306, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3154, 730, F3, 38) (dual of [730, 576, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3154, 753, F3, 38) (dual of [753, 599, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(33) [i] based on
- linear OA(3148, 729, F3, 38) (dual of [729, 581, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(37) ⊂ Ce(33) [i] based on
Mode: 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(3154, 365, F3, 3, 38) (dual of [(365, 3), 941, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3154, 365, F3, 4, 38) (dual of [(365, 4), 1306, 39]-NRT-code) | [i] | ||