Information on Result #611379
Linear OA(279, 88, F2, 39) (dual of [88, 9, 40]-code), using construction X applied to C([0,36]) ⊂ C([1,36]) based on
- linear OA(277, 85, F2, 39) (dual of [85, 8, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 28−1, defining interval I = [0,36], and minimum distance d ≥ |{−2,−1,…,36}|+1 = 40 (BCH-bound) [i]
- linear OA(276, 85, F2, 36) (dual of [85, 9, 37]-code), using the narrow-sense BCH-code C(I) with length 85 | 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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 OA(2167, 176, F2, 79) (dual of [176, 9, 80]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(296, 105, F2, 44) (dual of [105, 9, 45]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(240, 48, F2, 19) (dual of [48, 8, 20]-code) | [i] | Residual Code | |