Information on Result #1418824
Linear OOA(3241, 6608, F3, 2, 41) (dual of [(6608, 2), 12975, 42]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3241, 6608, F3, 41) (dual of [6608, 6367, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, 6641, F3, 41) (dual of [6641, 6400, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(30) [i] based on
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- construction X applied to Ce(40) ⊂ Ce(30) [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(3241, 3304, F3, 3, 41) (dual of [(3304, 3), 9671, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3241, 3304, F3, 4, 41) (dual of [(3304, 4), 12975, 42]-NRT-code) | [i] | ||