Information on Result #1288022
Linear OA(2139, 207, F2, 42) (dual of [207, 68, 43]-code), using construction Y1 based on
- linear OA(2140, 255, F2, 42) (dual of [255, 115, 43]-code), using
- the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- nonexistence of linear OA(2115, 255, F2, 48) (dual of [255, 140, 49]-code), because
- discarding factors / shortening the dual code would yield linear OA(2115, 248, F2, 48) (dual of [248, 133, 49]-code), but
- the improved Johnson bound shows that N ≤ 143725 247793 158925 244046 766587 529380 723845 < 2133 [i]
- discarding factors / shortening the dual code would yield linear OA(2115, 248, F2, 48) (dual of [248, 133, 49]-code), but
Mode: 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
None.