Information on Result #736822
Linear OA(2109, 151, F2, 37) (dual of [151, 42, 38]-code), using construction X applied to C([0,42]) ⊂ C([0,28]) based on
- linear OA(299, 127, F2, 43) (dual of [127, 28, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(285, 127, F2, 31) (dual of [127, 42, 32]-code), using the expurgated primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,28], and minimum distance d ≥ 32 (sporadic result) and all weights a multiple of 2 because the code is contained in its dual [i]
- linear OA(210, 24, F2, 5) (dual of [24, 14, 6]-code), 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(2109, 50, F2, 3, 37) (dual of [(50, 3), 41, 38]-NRT-code) | [i] | OOA Folding | |