Information on Result #1601135
Linear OOA(339, 1569, F3, 4, 8) (dual of [(1569, 4), 6237, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(339, 1569, F3, 8) (dual of [1569, 1530, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(339, 2200, F3, 8) (dual of [2200, 2161, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(7) ⊂ Ce(4) [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(339, 1568, F3, 5, 8) (dual of [(1568, 5), 7801, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(339, 1568, F3, 12, 8) (dual of [(1568, 12), 18777, 9]-NRT-code) | [i] | ||