Information on Result #2227186
Linear OA(334, 41, F3, 22) (dual of [41, 7, 23]-code), using 1 times truncation based on linear OA(335, 42, F3, 23) (dual of [42, 7, 24]-code), using
- construction X applied to C([0,21]) ⊂ C([1,21]) [i] based on
- linear OA(334, 40, F3, 23) (dual of [40, 6, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [0,21], and minimum distance d ≥ |{−1,0,…,21}|+1 = 24 (BCH-bound) [i]
- linear OA(333, 40, F3, 21) (dual of [40, 7, 22]-code), using the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Extended Narrow-Sense BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3115, 122, F3, 73) (dual of [122, 7, 74]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3196, 203, F3, 124) (dual of [203, 7, 125]-code) | [i] | ||
| 3 | Linear OA(3202, 209, F3, 130) (dual of [209, 7, 131]-code) | [i] | ||
| 4 | Linear OA(3142, 149, F3, 91) (dual of [149, 7, 92]-code) | [i] | ||
| 5 | Linear OOA(334, 20, F3, 2, 22) (dual of [(20, 2), 6, 23]-NRT-code) | [i] | OOA Folding | |