Information on Result #610917
Linear OA(218, 24, F2, 9) (dual of [24, 6, 10]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(216, 21, F2, 9) (dual of [21, 5, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 21 | 26−1, defining interval I = [0,6], and minimum distance d ≥ |{−2,−1,…,6}|+1 = 10 (BCH-bound) [i]
- linear OA(215, 21, F2, 6) (dual of [21, 6, 7]-code), using the narrow-sense BCH-code C(I) with length 21 | 26−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), using
- dual of repetition code with length 3 [i]
- Hamming code H(2,2) [i]
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(218, 12, F2, 2, 9) (dual of [(12, 2), 6, 10]-NRT-code) | [i] | OOA Folding | |