Information on Result #2228903
Linear OA(3141, 148, F3, 90) (dual of [148, 7, 91]-code), using 2 times truncation based on linear OA(3143, 150, F3, 92) (dual of [150, 7, 93]-code), using
- juxtaposition [i] 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
- construction X applied to C([0,21]) ⊂ C([1,21]) [i] based on
- linear OA(3101, 108, F3, 68) (dual of [108, 7, 69]-code), using
- linear OA(335, 42, F3, 23) (dual of [42, 7, 24]-code), 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3141, 74, F3, 2, 90) (dual of [(74, 2), 7, 91]-NRT-code) | [i] | OOA Folding | |