Information on Result #1411512
Linear OOA(3153, 707, F3, 2, 38) (dual of [(707, 2), 1261, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3153, 707, F3, 38) (dual of [707, 554, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3153, 749, F3, 38) (dual of [749, 596, 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(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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(3153, 353, F3, 3, 38) (dual of [(353, 3), 906, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3153, 353, F3, 4, 38) (dual of [(353, 4), 1259, 39]-NRT-code) | [i] | ||