Information on Result #1411913
Linear OOA(3159, 5249, F3, 2, 27) (dual of [(5249, 2), 10339, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3159, 5249, F3, 27) (dual of [5249, 5090, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3159, 6614, F3, 27) (dual of [6614, 6455, 28]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [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(3159, 2624, F3, 3, 27) (dual of [(2624, 3), 7713, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3159, 2624, F3, 4, 27) (dual of [(2624, 4), 10337, 28]-NRT-code) | [i] | ||