Information on Result #674124
Linear OA(287, 131, F2, 30) (dual of [131, 44, 31]-code), using construction X applied to C([1,28]) ⊂ C([1,26]) based on
- linear OA(284, 127, F2, 30) (dual of [127, 43, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 31 (sporadic result) [i]
- linear OA(277, 127, F2, 26) (dual of [127, 50, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 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(288, 132, F2, 31) (dual of [132, 44, 32]-code) | [i] | Adding a Parity Check Bit | |