Information on Result #1411912
Linear OOA(3159, 4160, F3, 2, 28) (dual of [(4160, 2), 8161, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3159, 4160, F3, 28) (dual of [4160, 4001, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3159, 6576, F3, 28) (dual of [6576, 6417, 29]-code), using
- (u, u+v)-construction [i] based on
- linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- dual of repetition code with length 15 [i]
- 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(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using
- (u, u+v)-construction [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, 2080, F3, 4, 28) (dual of [(2080, 4), 8161, 29]-NRT-code) | [i] | OOA Folding | |