Information on Result #611999
Linear OA(372, 123, F3, 26) (dual of [123, 51, 27]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
- linear OA(371, 121, F3, 26) (dual of [121, 50, 27]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 and all weights a multiple of 3 because the code is contained in its dual [i]
- linear OA(370, 121, F3, 24) (dual of [121, 51, 25]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(372, 61, F3, 2, 26) (dual of [(61, 2), 50, 27]-NRT-code) | [i] | OOA Folding | |