Information on Result #1601162
Linear OOA(341, 3284, F3, 4, 8) (dual of [(3284, 4), 13095, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(341, 3284, F3, 2, 8) (dual of [(3284, 2), 6527, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(341, 6568, F3, 8) (dual of [6568, 6527, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(341, 6569, F3, 8) (dual of [6569, 6528, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(341, 6569, F3, 8) (dual of [6569, 6528, 9]-code), using
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(341, 3283, F3, 5, 8) (dual of [(3283, 5), 16374, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(341, 3283, F3, 12, 8) (dual of [(3283, 12), 39355, 9]-NRT-code) | [i] | ||