Information on Result #674111
Linear OA(299, 142, F2, 32) (dual of [142, 43, 33]-code), using construction X applied to C([1,42]) ⊂ C([1,28]) based on
- linear OA(298, 127, F2, 42) (dual of [127, 29, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- 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(21, 15, F2, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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 OA(2100, 143, F2, 33) (dual of [143, 43, 34]-code) | [i] | Adding a Parity Check Bit | |
| 2 | Linear OOA(299, 71, F2, 2, 32) (dual of [(71, 2), 43, 33]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(299, 47, F2, 3, 32) (dual of [(47, 3), 42, 33]-NRT-code) | [i] | ||