Information on Result #1411395
Linear OOA(3151, 4680, F3, 2, 26) (dual of [(4680, 2), 9209, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3151, 4680, F3, 26) (dual of [4680, 4529, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, 6614, F3, 26) (dual of [6614, 6463, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(397, 6561, F3, 19) (dual of [6561, 6464, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [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(3151, 2340, F3, 3, 26) (dual of [(2340, 3), 6869, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3151, 2340, F3, 4, 26) (dual of [(2340, 4), 9209, 27]-NRT-code) | [i] | ||