Information on Result #1288001
Linear OA(227, 80, F2, 8) (dual of [80, 53, 9]-code), using construction Y1 based on
- linear OA(228, 128, F2, 8) (dual of [128, 100, 9]-code), using
- 1 times truncation [i] based on linear OA(229, 129, F2, 9) (dual of [129, 100, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(229, 129, F2, 9) (dual of [129, 100, 10]-code), using
- nonexistence of OA(2100, 128, S2, 48), because
- discarding factors would yield OA(2100, 121, S2, 48), but
- the linear programming bound shows that M ≥ 59 423241 397501 834794 717265 239759 388672 / 45 664125 > 2100 [i]
- discarding factors would yield OA(2100, 121, S2, 48), 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.