Information on Result #1059631
Linear OOA(357, 1642, F3, 4, 11) (dual of [(1642, 4), 6511, 12]-NRT-code), using OOA 4-folding based on linear OA(357, 6568, F3, 11) (dual of [6568, 6511, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(357, 6569, F3, 11) (dual of [6569, 6512, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [i] based on
Mode: Constructive and 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(358, 1642, F3, 4, 11) (dual of [(1642, 4), 6510, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(362, 1646, F3, 4, 11) (dual of [(1646, 4), 6522, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |