Information on Result #1416766
Linear OOA(3221, 3281, F3, 2, 42) (dual of [(3281, 2), 6341, 43]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3221, 3281, F3, 42) (dual of [3281, 3060, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 3285, F3, 42) (dual of [3285, 3064, 43]-code), using
- 1 times truncation [i] based on linear OA(3222, 3286, F3, 43) (dual of [3286, 3064, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(40) [i] based on
- linear OA(3221, 3281, F3, 43) (dual of [3281, 3060, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3217, 3281, F3, 41) (dual of [3281, 3064, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(42) ⊂ Ce(40) [i] based on
- 1 times truncation [i] based on linear OA(3222, 3286, F3, 43) (dual of [3286, 3064, 44]-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(3221, 1640, F3, 3, 42) (dual of [(1640, 3), 4699, 43]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3221, 1640, F3, 4, 42) (dual of [(1640, 4), 6339, 43]-NRT-code) | [i] | ||